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Lifetimes of excited states of the phosphorus isotopes 1533,34,35,36P have been measured by using the differential recoil-distance method. The isotopes of phosphorus were populated in binary grazing reactions initiated by a beam of S36 ions of energy 225 MeV incident on a thin Pb208 target mounted in the Cologne plunger apparatus. The combination of the PRISMA magnetic spectrometer and an early implementation of the AGATA γ-ray tracking array was used to detect γ rays in coincidence with projectile-like nuclear species. Lifetime measurements of populated states were made within the range from about 1 to 100 ps. The number of states for which lifetime measurements were possible was limited by statistics. For P33, lifetime limits were determined for the first 3/2+ and 5/2+ states at 1431 and 1848 keV, respectively; the results are compared with previous published lifetime values. The lifetime of the first 2+ state of P34 at 429 keV was determined and compared with earlier measurements. For P35, the states for which lifetimes, or lifetime limits, were determined were those at 2386, 3860, 4101, and 4493 keV, with Jπ values of 3/2+, 5/2+, 7/21−, and 7/22−, respectively. There have been no previous published lifetimes for states in this nucleus. A lifetime was measured for the stretched π(1f7/2)⊗ν(1f7/2)Jπ=(7+) state of P36 at 5212 keV and a lifetime limit was established for the stretched π(1d3/2)⊗ν(1f7/2)Jπ=(5−) state at 2030 keV. There are no previously published lifetimes for states of P36. Measured lifetime values were compared with the results of state-of-the-art shell-model calculations based on the PSDPF effective interaction. In addition, measured branching ratios, published mixing ratios, and electromagnetic transition rates, where available, have been compared with shell-model values. In general, there is good agreement between experiment and the shell model; however there is evidence that the shell-model values of the M1 transition rates for the 3/21+→1/2+ (ground state) and 5/21+→3/21+ transitions in P33 underestimate the experimental values by a factor between 5 and 10. In P35 there are some disagreements between experimental and shell-model values of branching ratios for the first and second excited 7/2− states. In particular, there is a serious disagreement for the decay characteristics of the second 7/2− state at 4493 keV, for which the shell-model counterpart lies at 4754 keV. In this case, the shell-model competing electromagnetic decay branches are dominated by E1 and M1 transitions.

The purpose of this work is to describe, in light of shell model calculations using the PSDPF interaction, the particular states with J = 0 in sd shell nuclei. These states are difficult to observe. It is well known that the ground state in even–even nuclei has Jπ = 0+ and therefore we are interested in describing their first excited [Formula: see text] states. We have also studied the first and second excited 0− states in all sd nuclei. The experimental and theoretical excitation energies of these states were confronted. This study allowed us to make predictions of the existence of [Formula: see text] and (or) [Formula: see text] states in nuclei, which do not possess these states, or to have an idea of their excitation energies for possible experiments in the future.

Author(s): Lubna, RS; Tripathi, V; Tabor, SL; Tai, PL; Kravvaris, K; Bender, PC; Volya, A; Bouhelal, M; Chiara, CJ; Carpenter, MP; Janssens, RVF; Lauritsen, T; McCutchan, EA; Zhu, S; Clark, RM; Fallon, P; MacChiavelli, AO; Paschalis, S; Petri, M; Reviol, W; Sarantites, DG | Abstract: Excited states in the neutron-rich isotopes P33 and P34 were populated by the O18+O18 fusion-evaporation reaction at Elab=24 MeV. The Gammasphere array was used along with the Microball particle detector array to detect γ transitions in coincidence with the charged particles emitted from the compound nucleus S36. The use of Microball enabled the selection of the proton emission channel. It also helped in determining the exact position and energy of the emitted proton; this was later employed in kinematic Doppler corrections. 16 new transitions and 13 new states were observed in P33 and 21 γ rays and 20 energy levels were observed in P34 for the first time. The nearly 4π geometry of Gammasphere allowed the measurement of γ-ray angular distributions leading to spin assignments for many states. The experimental observations for both isotopes were interpreted with the help of shell-model calculations using the (0+1)ω PSDPF interaction. The calculations accounted for both the 0p-0h and 1p-1h states reasonably well and indicated that 2p-2h excitations might dominate the higher-spin configurations in both P33 and P34.

The electric-octupole $E3$ transition strengths from the first ${3}^{\ensuremath{-}}$ state to the ground-state transition in $sd$ shell even-even nuclei with $A=16$ to 40 are investigated within the shell model framework using the effective (0+1)$\ensuremath{\hbar}\ensuremath{\omega}$ PSDPF interaction. For this type of transition, new effective charges for protons and neutrons have been determined. Their values 1.36 e for protons and 0.48 e for neutrons are close to those obtained previously for electric-quadrupole $E2$ transitions in $sd$ shell nuclei. The calculated $E3$ transition strengths from the ${{3}_{1}}^{\ensuremath{-}}\ensuremath{\rightarrow}{{0}_{\mathrm{gs}}}^{+}$ transitions are compared to a compilation of experimental $E3$ data for even-even nuclei throughout the $sd$ shell.

The structure of the S33 nucleus was investigated in the Mg24(N14,αp) fusion-evaporation reaction using a 40-MeV N14 beam. The level scheme was extended up to an excitation energy of 11.7 MeV and spin 19/2+. Lifetimes of the intermediate- and high-spin states have been investigated by the Doppler shift attenuation method. Data were compared with different shell-model calculations where effective interactions involving two main shells, the sd and the fp, are used.

Excited states with intermediate and high spins in $^{33}\mathrm{P}$ and $^{33}\mathrm{S}$ have been populated using the $^{26}\mathrm{Mg}(^{13}\mathrm{C},np\ensuremath{\alpha})$ and $^{26}\mathrm{Mg}(^{13}\mathrm{C},2n\ensuremath{\alpha})$ fusion-evaporation reactions. The level schemes of both nuclei have been considerably extended. Utilizing $\ensuremath{\gamma}\ensuremath{\gamma}$ angular correlations the spin-parity assignment of the new excited states in $^{33}\mathrm{P}$ has been investigated. The experimentally determined results from both nuclei were compared to $0\ensuremath{\hbar}\ensuremath{\omega}$ and $1\ensuremath{\hbar}\ensuremath{\omega}$ truncated p-sd-pf shell-model calculations utilizing the PSDPF interaction, showing a very good agreement between experiment and theory.

The neutron-rich $^{39}\mathrm{S}$ nucleus has been studied using binary grazing reactions produced by the interaction of a 215-MeV beam of $^{36}\mathrm{S}$ ions with a thin $^{208}\mathrm{Pb}$ target. The magnetic spectrometer, PRISMA, and the $\ensuremath{\gamma}$-ray array, CLARA, were used in the measurements. Gamma-ray transitions of the following energies were observed: 339, 398, 466, 705, 1517, 1656, and 1724 keV. Five of the observed transitions have been tentatively assigned to the decay of excited states with spins up to ($11/{2}^{\ensuremath{-}}$). The results of a state-of-the-art shell-model calculation of the level scheme of $^{39}\mathrm{S}$ using the SDPF-U effective interaction are also presented. The systematic behavior of the excitation energy of the first $11/{2}^{\ensuremath{-}}$ states in the odd-$A$ isotopes of sulfur and argon is discussed in relation to the excitation energy of the first excited ${2}^{+}$ states of the adjacent even-$A$ isotopes. The states of $^{39}\mathrm{S}$ that have the components in their wave functions corresponding to three neutrons in the $1{f}_{7/2}$ orbital outside the $N=20$ core have also been discussed within the context of the 0 $\ensuremath{\hbar}\ensuremath{\omega}$ shell-model calculations presented here.

Recent experimental data about the 30P(p, $ \gamma$ ) reaction have been reported, where a list of confirmed 31S excited states within 500 keV of the 30P(p, $ \gamma$ )31S threshold at $ E_{x} = 6131$ keV and their properties were studied. Definitive constraints on $ J^{\pi}$ are only given for two levels; the other ones are either tentative (five states) or undefined (six states). In order to confirm the proposed spin/parity assignments and to determine the unknown ones a comparison with shell-model calculations is crucial. We have performed a shell-model calculation using the $ (0+1)\hbar\omega$ PSDPF interaction to calculate the excitation energy spectrum of mass 31 ( 31S - 31P up to 7000 keV. Between 6100 and 6700 keV, an excitation energy region of astrophysical interest, we obtain a set of negative-parity states that are good candidates for the observed ones. A complete spectrum of positive- and negative-parity states can now be proposed based also on a comparison with the 31P spectrum up to 7000 keV.

R. Chapman et al. ; 8 págs.; 6 figs.; 2 tabs., Excited states of the neutron-rich N=21 S37 nucleus have been studied using binary grazing reactions produced by the interaction of a 215-MeV beam of S36 ions with a thin Pb208 target. The magnetic spectrometer, PRISMA, and the γ-ray array, CLARA, were used in the measurements. The level scheme of S37 was established to an excitation energy of 4196 keV and a number of new transitions were observed, in particular that corresponding to the decay of the proposed Jπ=(11/2-) level at an excitation energy of 2776 keV. The structure of the state is discussed within the context of state-of-the-art shell-model calculations using the SDPF-U effective interaction; the main component of the wave function corresponds to the coupling of the odd 1f7/2 neutron to the first 2+ state of the S36 core. The electromagnetic decay properties of the state are discussed within the context of a particle-core coupling model and the shell model. The other members of the multiplet of states are also discussed. ©2016 American Physical Society, We would like to thank the technical staff of the INFN Legnaro National Laboratory for their support during this experiment. This work was supported by the EPSRC (U.K). Four of us (A.H,M.B, K.L.K., and A.P.) would like to acknowledge the receipt of financial support from EPSRC during the course of this work. A.J. would like to acknowledge support from the Spanish Ministerio de Economía y Competitividad under Contract No. FPA2014-57196-C5-4-P. Z.D. acknowledges financial support from OTKA Grant No. K100835.

In the level schemes of sd shell nuclei, there is generally at relatively low excitation energies, coexistence of normal 0 ℏω positive parity states and of intruder 1 ℏω negative parity states. The aim of the present work is to describe these intruder states in the full p–sd–pf model space with a 4 He core allowing one nucleon jump between the major shells. To construct our PSDPF interaction, we first modified the p–sd and sd–pf cross-monopole terms and then applied a fitting procedure to adjust all PSDPF parameters by comparing an extended set of experimental and calculated excitation energies. Results obtained with the new interaction have been finally compared with experimental data for nuclei throughout the sd shell.

R. Chapman et al.; 17 pags.; 18 figs.; 1 tab.; PACS number(s): 23.20.Lv, 25.70.Lm, 27.30.+t

1st NUBA International Conference on Nuclear Physics and Astrophysics -- SEP 14-21, 2014 -- Akdeniz Univ, Antalya, TURKEY, WOS: 000354773900036, High-spin states in Cl-36 were populated through the Mg-24(N-14,2p)Cl-36 reaction at E(N-14)=31 MeV. Lifetimes have been determined for fifteen states by applying the Doppler shift attenuation method. The results indicated the onset of collectivity in the high spin negative parity states. Large basis shell model calculations have been performed to understand the underlying structure of these states.

The nucleus 35S has been studied by in-beam ?-ray spectroscopy using the 24Mg(14N,3p) fusion-evaporation reaction at Elab=40 MeV. A level scheme extended up to J?=17/2+ at 8023 keV and J?=13/2- at 6352 keV has been established. Lifetimes of six excited states have been determined by applying the Doppler shift attenuation method. The experimental data have been compared with the results of large-scale shell model calculations performed using different effective interactions and model spaces allowing particle-hole excitations across the N=Z=20 shell gap. © 2014 American Physical Society.

Background: Obtaining reaction rates for nuclear astrophysics applications is often limited by the availability of radioactive beams. Indirect techniques to establish reaction rates often rely heavily on the properties of excited states inferred from mirror symmetry arguments. Mirror energy differences can depend sensitively on nuclear structure effects.Purpose: The present work sets out to establish a detailed comparison of mirror symmetry in the $A=23$, $T=1/2$ mirror nuclei ${}^{23}$Na and ${}^{23}$Mg both to high spin, and high excitation energy, including beyond the proton threshold. These data can be used to benchmark state-of-the-art shell-model calculations of these nuclei.Methods: Excited states in ${}^{23}$Na and ${}^{23}$Mg were populated using the ${}^{12}$C(${}^{12}$C,$p$) and ${}^{12}$C(${}^{12}$C,$n$) reactions at beam energies of 16 and 22 MeV, and their resulting $\ensuremath{\gamma}$ decay was measured with Gammasphere.Results: Level schemes for ${}^{23}$Na and ${}^{23}$Mg have been considerably extended; highly excited structures have been found in ${}^{23}$Na, as well as their counterparts in ${}^{23}$Mg for previously known rotational structures in ${}^{23}$Na. Mirror symmetry has been investigated up to an excitation energy of 8 MeV and spin-parity of 13/2${}^{+}$. Excited states in the region above the proton threshold have been studied in both nuclei.Conclusions: A detailed exploration of mirror symmetry has been performed which heavily constrains expectations as to how mirror energy differences should evolve for different structures. Agreement with shell-model calculations provides confidence in using such estimations where real data are absent.

International audience; Neutron-rich chlorine isotopes were populated in the Ar-40 + Pb-208 multiple transfer reaction via the -1p channels in a fragment-gamma coincident measurement employing the Prisma-Clara setup. New gamma transitions have been identified and, together with already available data, level schemes have been revised and compared with the results of large-scale sd-pf shell-model calculations. The evolution of the energy splitting between the s(1/2) and d(3/2) orbitals and the increased mixing of different proton configurations in the populated Cl isotopic chain have been deduced by inspecting the shell-model wave functions.

The USD shell model interaction has been very successful to describe the properties of positive parity states in sd nuclei using sd model space and 16O core. Recently, we have developed in Strasbourg a new interaction called PSDPF in the complete p-sd-pf valence space with 4He core, with the aim to extend the shell model description to negative parity states throughout the sd shell. As an example, results are presented for the 22Na and 23Na isotopes. Calculated energy spectra are compared to the most recent experimental results for well known normal 0 ħω and intruder 1 ħω states.

Calculation of energy spectra and electromagnetic properties of the Phosphor isotopic chain with A = 30 (N=15) to 35 (N=20) has been carried out using the 0 and 1ħω PSDPF interaction. There is good agreement between our calculation and experiment. A detailed comparison is presented with recent data of the neutron-rich isotopes 34P and 35P for normal 0ħω and intruder 1ħω states up to excitation energies of several MeV. Based on these shell model results, spin and parity assignments are proposed, especially in 35P, for states with unknown Jπ but for which the gamma decay is now established.

WOS: 000308129400006, Excited states up to J(pi) = 11(-) at 10 296 keV and J(pi) = 10(+) at 10 707 keV have been populated in the odd-odd Cl-36 nucleus using the Mg-24(N-14,2p) fusion-evaporation reaction at E-lab = 31 MeV. Twenty new states and 62 new gamma transitions have been identified by employing gamma-gamma and gamma-gamma-gamma coincidences. Lifetimes have been investigated by the Doppler shift attenuation method. The experimental data have been compared with the results of large-scale shell-model calculations performed using different effective interactions and model spaces allowing particle-hole excitations across the N = Z = 20 shell gap., MICINN, Spain; INFN, Italy [ACI2009-1070]; Spanish MINECO [AIC-D-2011-0746, AIC10-D-000568, FPA2011-29854]; Generalitat Valenciana [PROMETEO/2010/101], This work was carried out at the INFN Laboratori Nazionali di Legnaro (LNL), Italy. Authors are thankful to the XTU Tandem staff of LNL for delivering good-quality beam. S. Aydin thanks Sudeb Bhattacharya for very useful discussions during the preparation of the manuscript. A. Gadea and E. Farnea acknowledge the support of MICINN, Spain, and INFN, Italy, through the ACI2009-1070 bilateral action. A. Gadea activity has been partially supported by the Spanish MINECO under Grants No. AIC-D-2011-0746, No. AIC10-D-000568, and No. FPA2011-29854 and the Generalitat Valenciana under Grant No. PROMETEO/2010/101.

The decay branchings of a resonance in the 12C(12C,γ)24Mg reaction at Ec.m. = 8.0 MeV have been studied with high resolution using the Gammasphere array. Radiative capture residues were discriminated from scattered beam and the dominant evaporation channels using the fragment mass analyzer coupled to a multistage Parallel Grid Avalanche Counter (PGAC)/ion chamber system. The clean selection of residues has allowed the population of excited states up to 10 MeV in 24Mg to be examined in detail. Strong feeding of an excited Kπ=0− band is observed. A Jπ = 4+assignment to the resonance is strongly favored.

International audience; New γ transitions have been identified in argon isotopes in 40 Ar + 208 Pb multiple transfer reactions by exploiting, in a fragment-γ measurement, the new generation of magnetic spectrometers based on trajectory reconstruction coupled to large γ arrays. The coupling of single-particle degrees of freedom to nuclear vibration quanta was discussed. The interpretation of the newly observed states within a particle-phonon coupling picture was used to consistently follow, via their excitation energies, the evolution of collectivity in odd Ar isotopes. The proposed level schemes are supported by the results of sd-pf shell-model calculations, which have been also employed to evaluate the strength functions of the populated states.

This work was supported in part by the EPSRC (UK) and by the European Union under Contract No. RII3-CT-2004-506065. Five of us (D.O., M.B., A.H., K.K., and A.P.)acknowledge financial support from the EPSRC. Z.M.W acknowledges support from ORSAS and from the University of the West of Scotland. A.J. acknowledges financial supportfrom the Spanish Ministerio de Ciencia e Innovacion under Contract Nos. FPA2007-66069 and FPA2009-13377-C02-02. Zs.D. acknowledges the financial support from OTKA Project No. K68801.

A new 1 ħω interaction called PSDPF which spans three major shells has been developed to calculate the properties of the intruder negative parity states of sd shell nuclei. PSDPF has been applied to the N = 20 neutron rich 36S nucleus and a very good description of the first negative parity states with Jπ = 0− to 5− has been obtained at excitation energies below 6 MeV.

The low excitation energy spectra of N = 18 and 19 sd-shell isotones are investigated. A detailed comparison experiment versus theory using the PSDPF interaction of the energy spectra for 32Si and 33Si, 33P and 34P, 34S and 35S, 35Cl and 36Cl, 36Ar and 37Ar, 37K and 38K will be presented. Based on this comparison, important predictions will be proposed and the general evolution of the main structure properties in these isotones will be discussed.