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Parameter-Independent Symmetries in Nuclear Structure
- Source :
- HNPS Advances in Nuclear Physics. 12:51
- Publication Year :
- 2021
- Publisher :
- National Documentation Centre (EKT), 2021.
-
Abstract
- The E(5) symmetry describes nuclei related to the U(5)--SO(6) phase transition, while the X(5) symmetry is related to the U(5)--SU(3) phase transition. A chain of potentials interpolating between the U(5) symmetry of the 5-dimensional harmonic oscillator and the E(5) symmetry is considered. Parameter independent predictions for the spectra and B(E2) values of nuclei with $R_4= E(4)/E(2)$ ratios 2.093, 2.135, and 2.157 (compared to the ratio 2.00 of the U(5) case and the ratio 2.20 of the E(5) case) are derived numerically and compared to existing experimental data, suggesting several new experiments. Furthermore, an exactly soluble model with $R_4 = 2.646$ is constructed and a chain of potentials interpolating between this new model and the X(5) symmetry is considered. Parameter independent predictions for the spectra and B(E2) values of nuclei with $R_4$ ratios 2.769, 2.824 and 2.852 (compared to the ratio 2.904 of the X(5) case) are derived numerically and compared to existing experimental data, suggesting several new experiments.
- Subjects :
- Physics
Homogeneous space
Nuclear structure
Mathematical physics
Subjects
Details
- ISSN :
- 26540088 and 2654007X
- Volume :
- 12
- Database :
- OpenAIRE
- Journal :
- HNPS Advances in Nuclear Physics
- Accession number :
- edsair.doi...........9b9c3b45985ae3d828f57cc30a418ef0