Search

10 pags., 4 figs., 1 tab., A different alternative approach to calculate the ratio of the surface to volume components of the nuclear symmetry energy is proposed in the framework of the coherent density fluctuation model (CDFM). An alternate expression (scheme II) for the ratio is derived consistently within the model. This expression appears in a form more direct and physically motivated than the expression (scheme I) that was used in our previous works within the CDFM and avoids preliminary assumptions and mathematical ambiguities in scheme I. The calculations are based on the Skyrme and Brueckner energy-density functionals for nuclear matter and on the nonrelativistic Brueckner-Hartree-Fock method with realistic Bonn B and Bonn CD nucleon-nucleon potentials. The approach is applied to isotopic chains of Ni, Sn, and Pb nuclei using nuclear densities obtained in self-consistent Hartree-Fock calculations with the SLy4 Skyrme effective interaction. The applicability of both schemes within the CDFM is demonstrated by a comparison of the results with the available empirical data and with results of other theoretical studies of the considered quantities. Although in some instances the results obtained for the studied ratio and the symmetry energy components are rather close in both schemes, the proposed scheme II leads to more realistic values that agree better with the empirical data and exhibits conceptual and operational advantages., A.N.A, M.K.G., and D.N.K. are grateful for the support of the Bulgarian National Science Fund under Contract No. KP-06-N38/1. I.C.D also wishes to acknowledge partial financial support from the University of Mount Olive Professional Development Fund. P.S. acknowledges support from Ministerio de Ciencia e Innovación MCIU/AEI/FEDER,UE (Spain) under Contract No. PGC2018-093636-B-I00.

7 pags., 4 figs., 1 tab., Available experimental neutron skin thicknesses of even-even stable Ca, Ni, Sn, Pb, and Cd isotopes are evaluated, and separate trends of neutron skin thickness versus relative neutron excess δ=(N-Z)/A are observed for different isotopic chains. This phenomenon is quantitatively reproduced by the deformed Skyrme Hartree-Fock + Bardeen-Cooper-Schrieffer model with SLy4 force., This work is supported in part by the NSFC (12022504, 11775273, U1932140,12121005), by the CAS Pioneer Hundred Talents Program, by the CAS Open Research Project of large research infrastructures, by the CAS Maintenance and Reform of Large Research Infrastructures (DSS-WXGZ2018-0002), and by the Max Plank Society. Y.A.L. acknowledges the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement no. 682841 “ASTRUm”) and P.S. acknowledges MCI/AEI/FEDER, UE (Spain) (Grant no. PGC2018-093636-B-I00)

7 pags., 9 figs., 1 tab., The Gamow-Teller strength distribution of the decay of Hg into Au has been determined for the first time using the total absorption gamma spectroscopy technique and has been compared with theoretical QRPA calculations using the SLy4 Skyrme force. The measured Gamow-Teller strength distribution and the half-life are described by mixing oblate and prolate configurations independently in the parent and daughter nuclei. In this theoretical framework the best description of the experimental beta strength is obtained with dominantly prolate components for both parent Hg and daughter Au. The approach also allowed us to determine an upper limit of the oblate component in the parent state. The complexity of the analysis required the development of a new approach in the analysis of the X-ray gated total absorption spectrum., This work was supported by Spanish Ministerio de Economía y Competitividad under grants FPA2011-24553, FPA2014-52823-C2-1-P, FPA2017-83946-C2-1-P, FPA2017-87568-P, Ministerio de Ciencia e Innovación grants PID2019-104714GB-C21 and RTI2018-098868-B-100, program Severo Ochoa (SEV-2014-0398), ENSAR (grant 262010) and by the European Union Horizon 2020 research and innovation programme under Grant Agreement No. 654002. S.E.A.O. thanks the support of CPAN Consolider-Ingenio 2010 Programme CSD2007-00042 grant. E.G. acknowledges support from TÜBITAK 2219 Abroad Research Fellowship Programme. R.B.C. acknowledges support by the Max-Planck-Partner group. Support from the technical staff and engineers of ISOLDE-CERN is acknowl- edged. W.G. acknowledges the support of STFC (UK) council grant ST/P005314/1. V.G. acknowledges the support of the National Science Center, Poland, under Contract No. 2019/35/D/ST2/02081. This work was also supported by the National Research, Development and Innovation Fund of Hungary, financed under the K18 funding scheme with Projects No. K 128729 and NN128072. P.S. acknowledges support from MCI/AEI/FEDER, UE (Spain) under grant PGC2018-093636-B-I00

The $\ensuremath{\beta}$ decay of $^{101,102}\mathrm{Zr}$ and $^{109}\mathrm{Tc}$ was studied using the technique of total absorption spectroscopy. The experiment was performed at the National Superconducting Cyclotron Laboratory using the Summing NaI(Tl) (SuN) detector in the first-ever application of total absorption spectroscopy with a fast beam produced via projectile fragmentation. The $\ensuremath{\beta}$-decay feeding intensity and Gamow-Teller transition strength distributions were extracted for these three decays. The extracted distributions were compared to three different quasiparticle random-phase approximation (QRPA) models based on different mean-field potentials. A comparison with calculations from one of the QRPA models was performed to learn about the ground-state shape of the parent nucleus. For $^{101}\mathrm{Zr}$ and $^{102}\mathrm{Zr}$, calculations assuming a pure shape configuration (oblate or prolate) were not able to reproduce the extracted distributions. These results may indicate that some type of mixture between oblate and prolate shapes is necessary to reproduce the extracted distributions. For $^{109}\mathrm{Tc}$, a comparison of the extracted distributions with QRPA calculations suggests a dominant oblate configuration. The other two QRPA models are commonly used to provide $\ensuremath{\beta}$-decay properties in $r$-process network calculations. This work shows the importance of making comparisons between the experimental and theoretical $\ensuremath{\beta}$-decay distributions, rather than just half-lives and $\ensuremath{\beta}$-delayed neutron emission probabilities, as close to the $r$-process path as possible.

7 pags., 5 figs., 3 tabs., Weak decays in superheavy nuclei with proton numbers Z=118−120 and neutron numbers N=175−184 are studied within a microscopic formalism based on deformed self-consistent Skyrme Hartree-Fock mean-field calculations with pairing correlations. The half-lives of β decay and electron capture are compared with α-decay half-lives obtained from phenomenological formulas. The sensitivity of the half-lives to the unknown Q-energies is studied by comparing the results obtained from different approaches for the masses. It is shown that α-decay is always dominant in this mass region. The competition between α and β/EC decay modes is studied in seven α-decay chains starting at different isotopes of Z=118, 119, and 120., This work was supported by Ministerio de Ciencia e Innovación MCI/AEI/FEDER, UE (Spain) under Contract No. PGC2018-093636-B-I00

12 pags., 10 figs., 2 tabs., Backward elastic electron scattering from odd-A nuclear targets is characterized by magnetic form factors containing precise information on the nuclear structure. We study the sensitivity of the magnetic form factors to structural effects related to the evolution and shape transitions in both isotopic and isotonic chains. Calculations of magnetic form factors are performed in the plane-wave Born approximation. The nuclear structure is obtained from a deformed self-consistent mean-field calculation based on a Skyrme HF+BCS formalism. Collective effects are included in the cranking approximation, whereas nucleon-nucleon correlations are taken into account in the coherent density fluctuation model. The evolution of the magnetic form factors is found to exhibit signatures of shape transitions that show up in selected isotopic and isotonic chains involving both stable and unstable nuclei. Several cases are identified as suitable candidates for showing such fingerprints of shape transitions. A new generation of electron scattering experiments involving electron-radioactive beam colliders will be available in the near future, leading to a renewed interest in this field., This work was supported by Ministerio de Ciencia e Innovación MCI/AEI/FEDER,UE (Spain) under Contracts No. PGC2018-093636-B-I00 and No. RTI2018-098868-BI00. Two of the authors (D.N.K. and A.N.A.) are grateful for support of the Bulgarian Science Fund under Contract No. KP-06-N38/1.

7 pags., 4 figs. -- XXIII International School on Nuclear Physics, Neutron Physics and Applications 22-28 September 2019, Varna, Bulgaria, We investigate the temperature dependence of the volume and surface components of the nuclear symmetry energy (NSE) and their ratio in the framework of the local density approximation. The results of these quantities for finite nuclei are obtained within the coherent density fluctuation model (CDFM). The CDFM weight function is obtained using the temperature-dependent proton and neutron densities calculated through the HFBTHO code that solves the nuclear Skyrme-Hartree-Fock-Bogoliubov problem by using the cylindrical transformed deformed harmonic-oscillator basis. We present and discuss the values of the volume and surface contributions to the NSE and their ratio obtained for the Ni, Sn, and Pb isotopic chains around double-magic 78Ni, 132Sn, and 208Pb nuclei. The results for the T-dependence of the considered quantities are compared with estimations made previously for zero temperature showing the behavior of the NSE components and their ratio, as well as with the available experimental data. The sensitivity of the results on various forms of the density dependence of the symmetry energy is studied. We confirm the existence of kinks of these quantities as functions of the mass number at T = 0 MeV for the double closed-shell nuclei 78Ni and 132Sn and the lack of kinks for the Pb isotopes, as well as the disappearance of these kinks as the temperature increases., P.S. acknowledges support from Ministerio de Ciencia, Innovacion y Universidades MCIU/AEI/FEDER,UE (Spain) under Contract No. PGC2018-093636-B-I00.

13 pags., 10 figs. -- PACS numbers: 21.60.Jz, 21.65.Ef, 21.10.Gv, We derive the values of nuclear symmetry energy, its components, as well as pressure in finite nuclei at saturation density from their corresponding values in nuclear matter obtained in nonrelativistic Brueckner-Hartree-Fock calculations with the realistic Bonn B and Bonn CD potentials using the coherent density fluctuation model in the framework of a self-consistent Skyrme-Hartree-Fock plus BCS method. We focus on three isotopic chains of spherical nuclei (Ni, Sn, and Pb) and compare our results with those obtained with an effective Brueckner density-dependent potential. The role of the three-body forces on the considered quantities is also studied and discussed., I.C.D also wishes to acknowledge partial financial support from the University of Mount Olive Professional Development Fund. A.N.A, D.N.K., and M.K.G. are grateful for the support of the Bulgarian Science Fund under Contract No. KP-06-N38/1. P.S. acknowledges support from Ministerio de Ciencia, Innovacion y Universidades MCIU/AEI/FEDER,UE (Spain) under Contract No. PGC2018-093636-B-I00.

9 pags., 7 figs., Quadrupole moments and charge radii in cadmium isotopes are studied from a microscopic perspective. The results obtained from self-consistent deformed Hartree-Fock+BCS calculations with Skyrme forces are compared with isomer and isotope shifts measured from high-resolution laser spectroscopy experiments. The microscopic calculations reproduce fairly well the main features observed in those isotopes that include the linear increase with the neutron number of the quadrupole moments of the 11/2¿ isomers, as well as the parabolic behavior of the mean-square charge radii difference between isomers and ground states., This work was supported by Ministerio de Ciencia, Innovación y Universidades MCIU/AEI/FEDER,UE (Spain) under Contract No. PGC2018-093636-B-I00.

7 pags., 4 figs. -- XXIII International School on Nuclear Physics, Neutron Physics and Applications, Magnetic form factors from odd-A spherical and deformed nuclei corresponding to elastic electron scattering are calculated in the plane-wave Born approximation. The nuclear structure of the target is described within a deformed self-consistent mean-field calculation with effective interactions of Skyrme type and pairing correlations in the BCS approximation. We focus our attention to stable nuclei where experimental information is available. It is shown that the deformed formalism improves the agreement with experiment in deformed nuclei, while reproducing equally well spherical nuclei by taking properly the spherical limit of the deformed model. Effects of the collective rotation and nucleon-nucleon correlations are also studied. These results demonstrate the ability of the method to address electron scattering from unstable nuclei to be measured in future experiments on electron-ion beam colliders., This work was supported by MCIU/AEI/FEDER,UE (Spain) under Contract No. PGC2018- 093636-B-I00. Three of the authors (DNK, ANA, and MKG) are grateful for support of the Bulgarian Science Fund under Contract No. DFNI-T02/19.

12 pags., 9 figs. 2 tabs., Magnetic form factors corresponding to elastic electron scattering from odd-A nuclei are presented. The calculations are carried out in plane-wave Born approximation. The one-body properties are obtained in a deformed self-consistent mean-field calculation based on a Skyrme HF+BCS method. Collective effects are also included in the cranking approximation. Results on several stable nuclei are compared with the available experimental information. It is shown that a deformed formalism improves the agreement with experiment in deformed nuclei, while reproducing equally well spherical nuclei by taking properly the spherical limit of the deformed model and the effect of nucleon-nucleon correlations. Thus, the capability of the model to describe magnetic form factors is demonstrated. This opens the door to explore also unstable nuclei of particular interest that could be measured in future experiments on electron-radioactive beam colliders., This work was supported by Ministerio de Ciencia, Innovación y Universidades (Spain) under Contracts No. FIS2014-51971-P and No. PGC2018-093636-B-I00. Three of the authors (M.K.G., A.N.A., and D.N.K.) are grateful for support of the Bulgarian Science Fund under Contract No. DFNI-T02/19.

15 pags. 17 figs., 5 tabs., The β-intensity distributions of the decays of Nb100gs,100m and Nb102gs,102m have been determined using the total absorption γ-ray spectroscopy technique. The JYFLTRAP double Penning trap system was employed in a campaign of challenging measurements performed with the decay total absorption γ-ray spectrometer at the Ion Guide Isotope Separator On-Line facility in Jyväskylä. Different strategies were applied to disentangle the isomeric states involved, lying very close in energy. The low-spin component of each niobium case was populated through the decay of the zirconium parent, which was treated as a contaminant. We have applied a method to extract this contamination, and additionally we have obtained β-intensity distributions for these zirconium decays. The β-strength distributions evaluated with these results were compared with calculations in a quasiparticle random-phase approximation, suggesting a prolate configuration for the ground states of Zr100,102. The footprint of the Pandemonium effect was found when comparing our results for the analyses of the niobium isotopes with previous decay data. The β-intensities of the decay of Nb102m, for which there were no previous data, were obtained. A careful evaluation of the uncertainties was carried out, and the consistency of our results was validated taking advantage of the segmentation of our spectrometer. The final results were used as input in reactor summation calculations. A large impact on antineutrino spectrum calculations was already reported, and here we detail the significant impact on decay heat calculations., This work has been supported by the Spanish Ministerio de Economía y Competitividad under Grants No. FPA2011- 24553, No. AIC-A-2011-0696, No. FPA2014-52823-C2-1- P, No. FPA2015-65035-P, No. FPI/BES-2014-068222, No. FPA2017-83946-C2-1-P, and the program Severo Ochoa (SEV-2014-0398), by the Spanish Ministerio de Educación under the FPU12/01527 Grant, by the European Commission under the FP7/EURATOM Contract No. 605203 and the FP7/ENSAR Contract No. 262010, and by the Junta para la Ampliación de Estudios Programme (CSIC JAE-Doc contract) co-financed by ESF. We acknowledge the support of the UK Science and Technology Facilities Council (STFC) Grant No. ST/P005314/1. This work was also supported by the Academy of Finland under the Finnish Centre of Excellence Programme (Project No. 213503, Nuclear and AcceleratorBased Physics Research at JYFL). The authors thank the IAEA for supporting and encouraging the work in this field.

11 pags., 11 figs., 1 tab., Half-lives of β+ decay and electron capture are studied in some selected superheavy nuclei produced in hot-fusion reactions, namely, Fl290, Mc293, Lv294, and Ts295. The nuclear structure is described microscopically from deformed self-consistent Skyrme Hartree-Fock mean-field calculations that include pairing correlations. The sensitivity of the half-lives to deformation and to the QEC energies, which are still not determined experimentally, are studied. The results are compared with phenomenological α-decay half-lives, showing that the latter decay mode is dominant in this mass region., This work was supported by Ministerio de Ciencia, Innovación y Universidades, under Contract No. PGC2018-093636-B-I00.

18 pags., 7 figs., 2 tabs., The neutron skin of nuclei is an important fundamental property, but its accurate measurement faces many challenges. Inspired by charge symmetry of nuclear forces, the neutron skin of a neutron-rich nucleus is related to the difference between the charge radii of the corresponding mirror nuclei. We investigate this relation within the framework of the Hartree-Fock-Bogoliubov method with Skyrme interactions. Predictions for proton skins are also made for several mirror pairs in the middle mass range. For the first time the correlation between the thickness of the neutron skin and the characteristics related with the density dependence of the nuclear symmetry energy is investigated simultaneously for nuclei and their corresponding mirror partners. As an example, the Ni isotopic chain with mass number A=48−60 is considered. These quantities are calculated within the coherent density fluctuation model using Brueckner and Skyrme energy-density functionals for isospin asymmetric nuclear matter with two Skyrme-type effective interactions, SkM* and SLy4. Results are also presented for the symmetry energy as a function of A for a family of mirror pairs from selected chains of nuclei with Z=20, N=14, and N=50. The evolution curves show a similar behavior crossing at the N=Z nucleus in each chain and a smooth growing deviation when N≠Z starts. Comparison of our results for the radii and skins with those from the calculations based on high-precision chiral forces is made., M.K.G., A.N.A., and D.N.K. are grateful for the support of the Bulgarian National Science Fund under Contract No. KP-06-N38/1. P.S. acknowledges support from Ministerio de Ciencia, Innovación y Universidades MCIU/AEI/FEDER, UE (Spain) under Contract No. PGC2018-093636-B-I00

We investigate the two-proton capture reaction of the prominent rapid proton capture waiting point nucleus, Se, that produces the borromean nucleus Kr (Se68+p+p). We apply a recently formulated general model where the core nucleus, Se, is treated in the mean-field approximation and the three-body problem of the two valence protons and the core is solved exactly. We compare using two popular Skyrme interactions, SLy4 and SkM*. We calculate E2 electromagnetic two-proton dissociation and capture cross sections, and derive the temperature dependent capture rates. We vary the unknown 2 resonance energy without changing any of the structures computed self-consistently for both core and valence particles. We find rates increasing quickly with temperature below 2–4 GK after which we find rates varying by about a factor of two independent of 2 resonance energy. The capture mechanism is sequential through the f proton-core resonance, but the continuum background contributes significantly., This work was funded by the Danish Council for Independent Research DFF Natural Science and the DFF Sapere Aude program. This work has been partially supported by the Spanish Ministerio de Economía y Competitividad under Project FIS2014-51971-P.

Beta-decay properties of neutron-rich Ca, Ti, and Cr isotopes are studied within a deformed proton-neutron quasiparticle random-phase approximation. The underlying mean field is described self-consistently from deformed Skyrme Hartree-Fock calculations with pairing correlations. Residual spin-isospin interactions in the particle-hole and particle-particle channels are also included in the formalism. The energy distributions of the Gamow-Teller strength, the beta-decay feedings, the beta-decay half-lives, and the beta-delayed neutron emission probabilities are discussed and compared with other theoretical results, as well as with the available experimental information. The evolution of these nuclear beta-decay properties is investigated in isotopic chains in a search for structural changes. A reliable estimate of the beta-decay properties in this mass region is a valuable information for evaluating decay rates in astrophysical scenarios., Comment: 11 pages, 12 figures

8 pags., 3 figs. -- Open Access funded by Creative Commons Atribution Licence 3.0 .-- XXII International School on Nuclear Physics, Neutron Physics and Applications, We derive the volume and surface components of the nuclear symmetry energy (NSE) and their ratio within the coherent density fluctuation model. The estimations use the results of the model for the NSE in finite nuclei based on the Brueckner and Skyrme energy-density functionals for nuclear matter. The obtained values of the volume and surface contributions to the NSE and their ratio for the Ni, Sn, and Pb isotopic chains are compared with estimations of other approaches which have used available experimental data on binding energies, neutron-skin thicknesses, and excitation energies to isobaric analog states (IAS). Apart from the density dependence investigated in our previous works, we study also the temperature dependence of the symmetry energy in finite nuclei in the framework of the local density approximation combining it with the self-consistent Skyrme-HFB method using the cylindrical transformed deformed harmonic-oscillator basis. The results for the thermal evolution of the NSE in the interval T=0¿4 MeV show that its values decrease with temperature. The investigations of the T-dependence of the neutron and proton root-mean-square radii and the corresponding neutron skin thickness point out that the effect of temperature leads mainly to a substantial increase of the neutron radii and skins, especially in nuclei which are more rich of neutrons., Three of the authors (M.K.G., A.N.A., and D.N.K) are grateful for support of the Bulgarian Science Fund under Contract No. DFNI-T02/19. D.N.K. thanks for the partial support from Contract No. DFNI-E02/6 of the Bulgarian Science Fund. E.M.G. and P.S. acknowledge support from MINECO (Spain) under Contract FIS2014–51971–P.

6 pags., 5 figs., We investigate the emergence of halos and Efimov states in nuclei by use of a newly designed model that combines self-consistent mean-field and three-body descriptions. Recent interest in neutron heavy calcium isotopes makes 72Ca (70Ca+n+n) an ideal realistic candidate on the neutron dripline, and we use it as a representative example that illustrates our broadly applicable conclusions. By smooth variation of the interactions we simulate the crossover from well-bound systems to structures beyond the threshold of binding, and find that halo configurations emerge from the mean-field structure for three-body binding energy less than ~100¿¿keV. Strong evidence is provided that Efimov states cannot exist in nuclei. The structure that bears the most resemblance to an Efimov state is a giant halo extending beyond the neutron-core scattering length. We show that the observable large-distance decay properties of the wave function can differ substantially from the bulk part at short distances, and that this evolution can be traced with our combination of few- and many-body formalisms. This connection is vital for interpretation of measurements such as those where an initial state is populated in a reaction or by a beta decay., This work was funded by the Danish Council for Independent Research DFF Natural Science and the DFF Sapere Aude program. This work has been partially supported by the Spanish Ministerio de Economia y Competitividad under Project No. FIS2014-51971-P.

The beta decays of 86Br and 91Rb have been studied using the total absorption spectroscopy technique. The radioactive nuclei were produced at the IGISOL facility in Jyvaskyla and further purified using the JYFLTRAP. 86Br and 91Rb are considered high priority contributors to the decay heat in reactors. In addition 91Rb was used as a normalization point in direct measurements of mean gamma energies released in the beta decay of fission products by Rudstam et al. assuming that this decay was well known from high-resolution measurements. Our results shows that both decays were suffering from the Pandemonium effect and that the results of Rudstam et al. should be renormalized.

We combine few- and many-body degrees of freedom in a new computationally efficient model applicable to both bound and continuum states and adaptable to different subfields of physics. We formulate a self-consistent three-body model for a core nucleus surrounded by two valence nucleons, where the core is treated in the mean-field approximation and the same effective Skyrme interaction is used between both core and valence nucleons. We apply the model to $^{26}\mathrm{O}$, where we reproduce the known experimental data as well as phenomenological models with more parameters. The decay of the ground state is found to proceed directly into the continuum without effect of the virtual sequential decay through the well-reproduced ${d}_{3/2}$ resonance of $^{25}\mathrm{O}$.

13 pags., 14 figs. -- ERRATUM, Publisher's Note: Temperature dependence of the symmetry energy and neutron skins in Ni, Sn, and Pb isotopic chains [Phys. Rev. C 95, 024314 (2017)] A. N. Antonov, D. N. Kadrev, M. K. Gaidarov, P. Sarriguren, and E. Moya de Guerra Phys. Rev. C 95, 039903 (2017), The temperature dependence of the symmetry energy for isotopic chains of even-even Ni, Sn, and Pb nuclei is investigated in the framework of the local density approximation (LDA). The Skyrme energy density functional with two Skyrme-class effective interactions, SkM∗ and SLy4, is used in the calculations. The temperature-dependent proton and neutron densities are calculated through the hfbtho code that solves the nuclear Skyrme-Hartree-Fock-Bogoliubov problem by using the cylindrical transformed deformed harmonic-oscillator basis. In addition, two other density distributions of Pb208, namely the Fermi-type density determined within the extended Thomas-Fermi (TF) method and symmetrized-Fermi local density obtained within the rigorous density functional approach, are used. The kinetic energy densities are calculated either by the hfbtho code or, for a comparison, by the extended TF method up to second order in temperature (with T2 term). Alternative ways to calculate the symmetry energy coefficient within the LDA are proposed. The results for the thermal evolution of the symmetry energy coefficient in the interval T=0-4 MeV show that its values decrease with temperature. The temperature dependence of the neutron and proton root-mean-square radii and corresponding neutron skin thickness is also investigated, showing that the effect of temperature leads mainly to a substantial increase of the neutron radii and skins, especially in the more neutron-rich nuclei, a feature that may have consequences on astrophysical processes and neutron stars., Three of the authors (M.K.G., A.N.A., and D.N.K) are grateful for support of the Bulgarian Science Fund under Contract No. DFNI-T02/19. D.N.K. is thankful for the partial support from Contract No. DFNI-E02/6 of the Bulgarian Science Fund. E.M.G. and P.S. acknowledge support from MINECO (Spain) under Contract No. FIS2014–51971–P.

4 pags., 2 figs. -- This article belongs to the Topical Collection “The 23rd European Conference on Few-Body Problems in Physics”., Nuclear cluster physics implicitly assumes a distinction between groups of degrees-of-freedom, that is the (frozen) intrinsic and (explicitly treated) relative cluster motion. We formulate a realistic and practical method to describe the coupled motion of these two sets of degrees-of-freedom. We derive a coupled set of differential equations for the system using the phenomenologically adjusted effective in-medium Skyrme type of nucleon-nucleon interaction. We select a two-nucleon plus core system where the mean-field approximation corresponding to the Skyrme interaction is used for the core. A hyperspherical adiabatic expansion of the Faddeev equations is used for the relative cluster motion. We shall specifically compare both the structure and the decay mechanism found from the traditional three-body calculations with the result using the new boundary condition provided by the full microscopic structure at small distance. The extended Hilbert space guaranties an improved wave function compared to both mean-field and three-body solutions. We shall investigate the structures and decay mechanism of C (C+n+n). In conclusion, we have developed a method combining nuclear few- and many-body techniques without losing the descriptive power of each approximation at medium-to-large distances and small distances respectively. The coupled set of equations are solved self-consistently, and both structure and dynamic evolution are studied.

Weak-interaction rates, including ¯-decay and electron capture, are studied in several mass regions at various densities and temperatures of astrophysical interest. The study includes even-even and odd-A nuclei in the pf-shell region involved in presupernova formations, as well as neutron-deficient and neutron-rich medium-mass isotopes involved in the rapid-proton and rapidneutron capture processes, respectively. Weak rates are relevant to understand the late stages of the stellar evolution, as well as the nucleosynthesis of heavier nuclei [1,2]. The nuclear structure involved in the weak processes is studied within a quasiparticle proton-neutron random-phase approximation with residual interactions in both particle-hole and particle-particle channels on top of a deformed Skyrme Hartree-Fock mean field with pairing correlations [3]. First, the energy distributions of the Gamow-Teller strength, as well as the ¯-decay half-lives are discussed and compared with the available experimental information, measured under terrestrial conditions from beta-decay in the case of the unstable nuclei [4,5] and from charge-exchange reactions in the case of stable nuclei [6]. Then, the sensitivity of the weak-interaction rates to both astrophysical densities and temperatures is studied [7]. Special attention is paid to the relative contribution to these rates of thermally populated excited states in the decaying nucleus and to the electron captures from the degenerate electron plasma.

12 pags., 12 figs., 3 tabs., The volume and surface components of the nuclear symmetry energy (NSE) and their ratio are calculated within the coherent density fluctuation model (CDFM). The estimations use the results of the model for the NSE in finite nuclei based on the Brueckner energy-density functional for nuclear matter. In addition, we present results for the NSE and its volume and surface contributions obtained by using the Skyrme energy-density functional. The CDFM weight function is obtained using the proton and neutron densities from the self-consistent HF+BCS method with Skyrme interactions. We present and discuss the values of the volume and surface contributions to the NSE and their ratio obtained for the Ni, Sn, and Pb isotopic chains, studying their isotopic sensitivity. The results are compared with estimations of other approaches which have used available experimental data on binding energies, neutron-skin thicknesses, excitation energies to isobaric analog states (IAS), and also with results of other theoretical methods. ©2016 American Physical Society, Two of the authors (A.N.A. and M.K.G.) are grateful for support of the Bulgarian Science Fund under Contract No. DFNI-T02/19. E.M.G. and P.S. acknowledge support from MINECO (Spain) under Contract FIS2014-51971-P.

12 págs.; 20 figs., Weak-interaction rates, including β decay and electron capture, are studied in several odd-A nuclei in the pf-shell region at various densities and temperatures of astrophysical interest. Special attention is paid to the relative contribution to these rates of thermally populated excited states in the decaying nucleus. The nuclear structure involved in the weak processes is studied within a quasiparticle random-phase approximation with residual interactions in both particle-hole and particle-particle channels on top of a deformed Skyrme Hartree-Fock mean field with pairing correlations. In the range of densities and temperatures considered, it is found that the total rates do not differ much from the rates of the ground state fully populated. In any case, the changes are not larger than the uncertainties due to the nuclear-model dependence of the rates. ©2016 American Physical Society, Thisworkwas supported in part by MINECO (Spain) under Research Grant No. FIS2014–51971–P.

7 pags., 6 figs. ; Varna 2015 ; Open Access funded by Creative Commons Atribution Licence 3.0, We study various ground-state properties of neutron-rich and neutron-deficient Mg isotopes with A=20–36 in the framework of the self-consistent deformed Skyrme-Hartree- Fock plus BCS method. The nuclear symmetry energy is investigated for the same isotopic chain following the theoretical approach based on the coherent density fluctuation model. The results of the calculations show that the behavior of the nuclear charge radii and the nuclear matter properties in the Mg isotopic chain is closely related to the nuclear deformation. The temperature dependence of the symmetry energy for isotopic chains of even-even Ni (A=58– 82), Sn (A=124–152), and Pb (A=202–214) nuclei is investigated in the framework of the local density approximation. The results for the thermal evolution of the symmetry energy coefficient show that for all isotopic chains considered and for both Skyrme forces used in the calculations the symmetry energy coefficient decreases with the increase of the mass number in the temperature interval T=0–5 MeV., Three of the authors (M.K.G., A.N.A., and D.N.K) are grateful for support of the Bulgarian Science Fund under Contract No. DFNI-T02/19. D.N.K. thanks for the partial support from Contract No. DFNI-E02/6 of the Bulgarian Science Fund. E.M.G. and P.S. acknowledge support from MINECO (Spain) under Contracts FIS2011–23565 and FIS2014–51971–P.

9 pags., 5 figs., In this paper, β-decay properties of even-even neutron-rich isotopes in the rare-earth mass region are studied within a microscopic theoretical approach based on a proton-neutron quasiparticle random-phase approximation. The underlying mean field is constructed self-consistently from a deformed Hartree-Fock calculation with Skyrme interactions and pairing correlations to which particle-hole and particle-particle residual interactions are added. Nuclei in this mass region participate in the astrophysical rapid neutron capture process and are directly involved in the generation of the rare-earth peak in the isotopic abundance pattern centered at A≃160. The energy distributions of the Gamow-Teller strength as well as the β-decay half-lives and the β-delayed neutron-emission probabilities are discussed and compared with the available experimental information and with calculations based on different approaches., This work was supported by Ministerio de Economía y Competitividad (Spain) under Contract No. FIS2014-51971-P.

We study the two-neutrino double-beta decay in 76Ge, 116Cd, 128Te, 130Te, and 150Nd, as well as the two Gamow-Teller branches that connect the double-beta decay partners with the states in the intermediate nuclei. We use a theoretical microscopic approach based on a deformed selfconsistent mean field with Skyrme interactions including pairing and spin-isospin residual forces, which are treated in a proton-neutron quasiparticle random-phase approximation. We compare our results for Gamow-Teller strength distributions with experimental information obtained from charge-exchange reactions. We also compare our results for the two-neutrino double-beta decay nuclear matrix elements with those extracted from the measured half-lives. Both single-state and low-lying-state dominance hypotheses are analyzed theoretically and experimentally making use of recent data from charge-exchange reactions and beta decay of the intermediate nuclei., Comment: 11 pages, 6 figures. arXiv admin note: text overlap with arXiv:1502.05889

6 pág.; 3 gráf.. --Presented at the Zakopane Conference on Nuclear Physics “Extremes of the Nuclear Landscape”, Zakopane, Poland, August 28–September 4, 2016 .-- Open Access funded by Creative Commons Atribution Licence 4.0, Weak-decay rates under various stellar density and temperature conditions are studied in several mass regions including neutron-deficient mediummass waiting-point nuclei involved in the rp-process, neutron-rich mediummass isotopes involved in the r-process, and pf-shell nuclei of special importance as constituents in presupernova formations. Weak rates are relevant to understand the late stages of the stellar evolution, as well as the nucleosynthesis of heavy nuclei. The nuclear structure involved in the weakdecay processes is described within a microscopic deformed quasiparticle random-phase approximation (QRPA) based on a selfconsistent mean field obtained from Skyrme Hartree–Fock + BCS calculations. This approach reproduces reasonably well both the experimental β-decay half-lives and the Gamow–Teller strength distributions measured under terrestrial conditions., This work was supported by Ministerio de Economía y Competitividad, MINECO (Spain) under contract FIS2014-51971-P.

82 pags., 21 figs., 3 tabs., 2 apps., The challenging nuclear many-body problem is discussed along with classifications and qualitative descriptions of existing methods and models. We present detailed derivations of a new method where cluster correlations coexist with an underlying mean-field described core structure. The variation of an antisymmetrized product of cluster and core wave functions and a given nuclear interaction, provide sets of self-consistent equations of motion. First we test the technique on the neutron dripline nucleus 26O, considered as 24O surrounded by two neutrons. We choose Skyrme effective interactions between all pairs of nucleons. To ensure correct asymptotic behavior we modify the valence neutron¿neutron interaction to fit the experimental scattering length in vacuum. This is an example of necessary considerations both of effective interactions between in-medium and free pairs, and renormalizations due to restrictions in allowed Hilbert space. Second, we investigate the heavier neutron dripline nucleus 72Ca, described as 70Ca plus two neutrons. We continuously vary the strength of the Skyrme interaction to fine tune the approach to the dripline. Halo structure in the s-wave is observed followed by the tendency to form Efimov states. Occurrence of Efimov states are prevented by the exceedingly unfavorable system of two light and one heavy particle. Specifically the neutron¿neutron scattering length is comparable to the spatial extension of a possible Efimov state, and scaling would place the next of the states outside our galaxy. Our third application is on the proton dripline nucleus 70Kr, described as 68Se plus two protons, which is a prominent waiting point for the astrophysical rapid proton-process. We calculate radiative capture rates and discuss the capture mechanism as being either direct, sequential, virtual sequential or an energy dependent mixture of them. We do not find any 1¿ resonance and therefore no significant E1 transition. This is consistent with the long waiting time, since both E2 and background transitions are very slow. After the applications on dripline nuclei we discuss perspectives with improvements and applications. In the conclusion we summarize while emphasizing the merits of consistently treating both short- and large-distance properties, few- and many-body correlations, ordinary nuclear structure, and concepts of halos and Efimov states., This work was funded by the Danish Council for Independent Research DFF Natural Science and the DFF Sapere Aude program. This work has been partially supported by the Spanish Ministerio de Economía y Competitividad under Project FIS2014-51971-P.

10 pags.; 11 figs.; 2 tabs.; PACS number(s): 23.40.Hc, 29.30.Kv, 27.50.+e, 21.10.Pc; Open Access funded by Creative Commons Atribution Licence 3.0

The beta decay of Pb-192,Pb-190 has been studied using the total absorption technique at the ISOLDE (CERN) facility. The beta-decay strength deduced from the measurements, combined with QRPA theoretical calculations, allow us to infer that the ground states of the Pb-192,Pb-190 isotopes are spherical. These results represent the first application of the shape determination method using the total absorption technique for heavy nuclei and in a region where there is considerable interest in nuclear shapes and shape effects.

Y. Fujita1,2 H. Fujita1 T. Adachi1 C.L. Bai3 A. Algora4,5 G.P.A. Berg6 P. von Brentano7 G. Colo8 M. Csatlos5 J.M. Deaven9 E. Estevez-Aguado4 C. Fransen7 D. De Frenne10 K. Fujita1 E. Ganioglu11 C.J. Guess9 J. Gulyas5 K. Hatanaka1 K. Hirota1 M. Honma12 D. Ishikawa1 E. Jacobs10 A. Krasznahorkay5 H. Matsubara1 K. Matsuyanagi13 R. Meharchand9 F. Molina4 K. Muto14 K. Nakanishi1 A. Negret15 H. Okamura1 H.J. Ong1 T. Otsuka16 N. Pietralla7 G. Perdikakis9 L. Popescu17 B. Rubio4 H. Sagawa13 P. Sarriguren18 C. Scholl7 Y. Shimbara19 Y. Shimizu1 G. Susoy11 T. Suzuki1 Y. Tameshige1 A. Tamii1 J.H. Thies20 M. Uchida1 T. Wakasa1 M. Yosoi1 R.G.T. Zegers1 K.O. Zell7 J. Zenihiro1

Y. Fujita et al.; 15 pags.; 6 figs.; 7 tabs.; PACS number(s): 21.10.Hw, 25.55.Kr, 27.40.+z, 25.40.Ep

15 pags.; 26 figs.; PACS number(s): 21.60.Jz, 23.40.Hc, 27.60.+j, 26.30.−k, © 2015 American Physical Society. β-decay properties of even- and odd-A neutron-rich Ge, Se, Kr, Sr, Ru, and Pd isotopes involved in the astrophysical rapid neutron capture process are studied within a deformed proton-neutron quasiparticle random-phase approximation. The underlying mean field is described self-consistently from deformed Skyrme-Hartree-Fock calculations with pairing correlations. Residual interactions in the particle-hole and particle-particle channels are also included in the formalism. The isotopic evolution of the various nuclear equilibrium shapes and the corresponding charge radii are investigated in all the isotopic chains. The energy distributions of the Gamow-Teller strength as well as the β-decay half-lives are discussed and compared with the available experimental information. It is shown that nuclear deformation plays a significant role in the description of the decay properties in this mass region. Reliable predictions of the strength distributions are essential to evaluate decay rates in astrophysical scenarios., This work was supported by Ministerio de Economía y Competitividad (Spain) under Contract No. FIS2011–23565 and the Consolider-Ingenio 2010 Program CPAN CSD2007- 00042.

14 pags.; 16 figs.; 2 tabs.; PACS number(s): 21.60.Jz, 23.40.−s, 27.70.+q, 27.80.+w, © 2015 American Physical Society. Bulk and decay properties, including deformation energy curves, charge mean square radii, Gamow-Teller (GT) strength distributions and β-decay half-lives are studied in neutron-deficient even-even and odd-A Hg and Pt isotopes. The nuclear structure is described microscopically from deformed quasiparticle random-phase approximation calculations with residual interactions in both particle-hole and particle-particle channels, performed on top of a self-consistent deformed quasiparticle Skyrme Hartree-Fock basis. The observed sensitivity of the not-yet-measured GT strength distributions to deformation is proposed as an additional complementary signature of the nuclear shape. The β-decay half-lives resulting from these distributions are compared to experiment to demonstrate the ability of the method., This work was supported by Ministerio de Economíıa y Competitividad (Spain) under Contract No. FIS2011–23565 and the Consolider–Ingenio 2010 Programs CPAN CSD2007-00042.

The two Gamow-Teller (GT) branches connecting the double-$\ensuremath{\beta}$ decay partners ($^{116}\mathrm{Cd}$, $^{116}\mathrm{Sn}$) and ($^{150}\mathrm{Nd}$, $^{150}\mathrm{Sm}$) with the intermediate nuclei $^{116}\mathrm{In}$ and $^{150}\mathrm{Pm}$ are studied within a microscopic approach based on a deformed proton-neutron quasiparticle random-phase approximation built on a Skyrme self-consistent mean field with pairing correlations and spin-isospin residual forces. The results are compared with the experimental GT strength distributions extracted from charge-exchange reactions. After combining the two branches, the nuclear matrix elements for the two-neutrino double-$\ensuremath{\beta}$ decay are evaluated and compared to experimental values derived from the measured half-lives.

6 pags., 3 fig. -- PACS codes: 21.60.Jz, 21.65.Ef, 21.10.Gv -- Dedicated to the memory of Academician Christo Ya. Christov on the 100-th anniversary of his birth, The symmetry energy, the neutron pressure and the asymmetric compressibility of spherical Ni, Sn, Pb and deformed Kr, Sm neutron-rich even-even nuclei are calculated within the coherent density fluctuation model using the symmetry energy as a function of density within the Brueckner energy-density functional. The correlation between the thickness of the neutron skin and the characteristics related with the density dependence of the nuclear symmetry energy is investigated for isotopic chains of these nuclei in the framework of the deformed self-consistent mean-field Skyrme HF+BCS method. The mass dependence of the nuclear symmetry energy and the neutron skin thickness are also studied together with the role of the neutron-proton asymmetry. The studied correlations reveal a smoother behavior in the case of spherical nuclei than for deformed ones. We also notice that the neutron skin thickness obtained for 208Pb with SLy4 force is found to be in a good agreement with the recent data. In addition to the interest that this study may have by itself, we give some numerical arguments in proof of the existence of peculiarities of the studied quantities in Ni and Sn isotopic chains that are not present in the Pb chain., Two of the authors (M.K.G. and A.N.A.) would like to thank the Bulgarian Science Fund under the Contract No. DFNI-T02/19 for partial support.

4 pags.; 2 figs; Conference date: 14–19 June 2015, Portorož, Slovenia, Neutron-deficient isotopes in the lead region are well established examples of the shape coexistence phenomenon in nuclei. In this work, bulk and decay properties, including deformation energy curves, charge mean square radii, Gamow-Teller (GT) strength distributions, and ß-decay half-lives, are studied in neutron-deficient Pt, Hg, and Pb isotopes. The nuclear structure involved is described microscopically from deformed quasiparticle random-phase approximation calculations with residual interactions in both particle-hole and particle-particle channels, performed on top of a self-consistent deformed quasiparticle Skyrme Hartree-Fock basis. The sensitivity to deformation of the GT strength distributions in those isotopes is proposed as an additional complementary signature of the nuclear shape. The ß-decay half-lives resulting from the GT strength distributions are compared to experiment to demonstrate the ability of the method. © 2015 AIP Publishing LLC, This work was supported by Ministerio de Economía y Competitividad (Spain) under Contract No. FIS2011–23565 and by the 7th European Community Framework Programme Marie Curie IOF ELECTROWEAK (O.M.).

6 pages, 1 table, 4 figures.-- PACS nrs.: 21.60.Jz; 23.40.Hc; 26.30.+k.-- Printed version published May, 2005.-- ArXiv pre-print available at: http://arxiv.org/abs/nucl-th/0503079v1, We give results of microscopic calculations for the half-lives of various proton-rich nuclei in the mass region A = 60-90, which are involved in the astrophysical rp-process, and which are needed as input parameters of numerical simulations in Nuclear Astrophysics. The microscopic formalism consists of a deformed QRPA approach that involves a self-consistent quasiparticle deformed Skyrme Hartree-Fock basis and residual spin-isospin separable forces in both the particle-hole and particle-particle channels. The strength of the particle-hole residual interaction is chosen to be consistent with the Skyrme effective force and mean-field basis, while that of the particle-particle is globally fixed to  = 0:07 MeV after a judicious choice from comparison to experimental half-lives. We study and discuss the sensitivity of the half-lives to deformation and residual interactions., This work was supported by the Ministerio de Educación y Ciencia (Spain) under contract No. BFM2002-03562. One of us (R.Á-R.) thanks the Ministerio de Educación y Ciencia (Spain) for financial support.

Search for a new kind of superfluidity built on collective proton-neutron pairs with aligned spin is performed studying the Gamow-Teller decay of the T=1, Jπ=0+ ground state of Ge62 into excited states of the odd-odd N=Z nucleus Ga62. The experiment is performed at GSI Helmholtzzentrum fur Schwerionenforschung with the Ge62 ions selected by the fragment separator and implanted in a stack of Si-strip detectors, surrounded by the RISING Ge array. A half-life of T1/2=82.9(14) ms is measured for the Ge62 ground state. Six excited states of Ga62, populated below 2.5 MeV through Gamow-Teller transitions, are identified. Individual Gamow-Teller transition strengths agree well with theoretical predictions of the interacting shell model and the quasiparticle random phase approximation. The absence of any sizable low-lying Gamow-Teller strength in the reported beta-decay experiment supports the hypothesis of a negligible role of coherent T=0 proton-neutron correlations in Ga62. (Less)

Y. Fujita et al. ; 5 pags. ; 3 figs. PACS numbers: 24.30.Cz, 25.55.Kr, 27.40.+z, Gamow-Teller (GT) transitions in atomic nuclei are sensitive to both nuclear shell structure and effective residual interactions. The nuclear GT excitations were studied for the mass number A=42, 46, 50, and 54 >f-shell> nuclei in (He3, t) charge-exchange reactions. In the Ca42→Sc42 reaction, most of the GT strength is concentrated in the lowest excited state at 0.6 MeV, suggesting the existence of a low-energy GT phonon excitation. As A increases, a high-energy GT phonon excitation develops in the 6-11 MeV region. In the Fe54→Co54 reaction, the high-energy GT phonon excitation mainly carries the GT strength. The existence of these two GT phonon excitations are attributed to the 2 fermionic degrees of freedom in nuclei. © 2014 American Physical Society., This work was in part supported by MEXT, Japan (Grants No. 13002001, No. 15540274, and No. 18540270); MICINN, Spain (Grant No. FPA200806419-C02-01). Y. F. and B. R. acknowledge the support of the Japan-Spain collaboration program by JSPS and CSIC.

13 pags. ; 17 figs. ; PACS number(s): 21.60.Jz, 23.40.Hc, 27.60.+j, 26.30.−k, β-decay properties of neutron-rich Zr and Mo isotopes are investigated within a microscopic theoretical approach based on the proton-neutron quasiparticle random-phase approximation. The underlying mean field is described self-consistently from deformed Skyrme Hartree-Fock calculations with pairing correlations. Residual separable particle-hole and particle-particle forces are also included in the formalism. The structural evolution in these isotopic chains including both even and odd isotopes is analyzed in terms of the equilibrium deformed shapes. Gamow-Teller strength distributions, β-decay half-lives, and β-delayed neutron-emission probabilities are studied, stressing their relevance to describe the path of the nucleosynthesis rapid neutron capture process. © 2014 American Physical Society., This work was supported by Ministerio de Econom´ıa y Competividad (Spain) under Contracts No. FIS2011–23565 and No. FPA 2011–24553 and the Consolider-Ingenio 2010 Programs CPAN CSD2007-00042. It was also supported in part by the Joint Institute for Nuclear Astrophysics (JINA) under NSF Grant No. PHY-02-16783 and the National Superconducting Cyclotron Laboratory (NSCL) under NSF Grant No. PHY-01-10253.

The symmetry energy, the neutron pressure and the asymmetric compressibility of spherical Ni, Sn, and Pb and deformed Kr and Sm neutron-rich even-even nuclei are calculated within the coherent density fluctuation model using the symmetry energy as a function of density within the Brueckner energy-density functional. The correlation between the thickness of the neutron skin and the characteristics related with the density dependence of the nuclear symmetry energy is investigated for isotopic chains of these nuclei in the framework of the deformed self-consistent mean-field Skyrme HF+BCS method. The mass dependence of the nuclear symmetry energy and the neutron skin thickness are also studied together with the role of the neutron-proton asymmetry. The studied correlations reveal a smoother behavior in the case of spherical nuclei than for deformed ones. We also notice that the neutron skin thickness obtained for 208Pb with SLy4 force is found to be in a good agreement with the recent data. In addition to th...

4 pags., 2 figs. -- XX International School on Nuclear Physics, Neutron Physics and Applications (Varna2013) 16–22 September 2013, Varna, Bulgaria, Weak decay rates under various stellar density and temperature conditions are studied in selected pf-shell nuclei of special relevance as constituents in presupernova formations. The rates are relevant to understand late stages of stellar evolution leading to supernova explosions and the nucleosynthesis of heavier nuclei. The nuclear structure part of the problem is described within a quasiparticle random-phase approximation. Results are compared to benchmark shell-model calculations and experimental data extracted from charge-exchange reactions., This work was supported in part by MINECO (Spain) under Research Grant No. FIS2011–23565 and by Consolider-Ingenio 2010 Programs CPAN CSD2007-00042.

11 pags. ; 13 figs. ; PACS number(s): 21.60.Jz, 21.65.Ef, 21.10.Gv, 27.30.+t, A comprehensive study of various ground-state properties of neutron-rich and neutron-deficient Mg isotopes with A=20-36 is performed in the framework of the self-consistent deformed Skyrme-Hartree-Fock plus BCS method. The correlation between the skin thickness and the characteristics related with the density dependence of the nuclear symmetry energy is investigated for this isotopic chain following the theoretical approach based on the coherent density fluctuation model and using the Brueckner energy-density functional. The results of the calculations show that the behavior of the nuclear charge radii and the nuclear symmetry energy in the Mg isotopic chain is closely related to the nuclear deformation. We also study, within our theoretical scheme, the emergence of an >island of inversion> at the neutron-rich Mg32 nucleus, which was recently proposed from the analyses of spectroscopic measurements of the Mg32 low-lying energy spectrum and the charge rms radii of all magnesium isotopes in the sd shell. © 2014 American Physical Society., Two of the authors (E.M.G. and P.S.) acknowledge support from MINECO (Spain) under Contracts FIS2011–23565 and FPA2010–17142 and from Unidad Asociada I+D+i between IEM-CSIC and Grupo de F´ısica Nuclear (UCM).