Parameter-Independent Symmetries in Nuclear Structure

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Parameter-Independent Symmetries in Nuclear Structure (EN)

Minkov, N.
Lenis, D.
Bonatsos, D.
Raychev, P. P.
Terziev, P. A.

info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

2021-08-30


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. (EN)


Annual Symposium of the Hellenic Nuclear Physics Society

English

Hellenic Nuclear Physics Society (HNPS) (EN)


2654-0088
2654-007X
Annual Symposium of the Hellenic Nuclear Physics Society; Τόμ. 12 (2003): HNPS2003; 51-60 (EL)
HNPS Advances in Nuclear Physics; Vol. 12 (2003): HNPS2003; 51-60 (EN)

Πνευματική ιδιοκτησία (c) 2021 D. Bonatsos, D. Lenis, N. Minkov, P. P. Raychev, P. A. Terziev (EL)




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