Microscopic version of the Bohr-Mottelson model and its application
| Autor: | Ganev, H. G. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Bulg. J. Phys. 48, 421 (2021) |
| Druh dokumentu: | Working Paper |
| Popis: | The shell-model coupling scheme of the proton-neutron symplectic model (PNSM), defined by the following dynamical symmetry chain $Sp(12,R) \supset SU(1,1) \otimes SO(6) \supset U(1) \otimes SU_{pn}(3) \otimes SO(2) \supset SO(3)$, is considered. It is shown that it corresponds to a microscopic version of the Bohr-Mottelson collective model which captures the original relationships between its exactly solvable submodel limits. This variant of the PNSM provides an interesting and relevant shell-model symplectic-based framework for exploring the nuclear collective dynamics. Some simple applications of the present theory to different nuclei with various collective properties are given. Comment: 11 pages, 2 figures, to appear in the Proceedings of the international workshop on Shapes and Dynamics of Atomic Nuclei: Contemporary Aspects (SDANCA21), Sofia, Bulgaria, 16-18 September 2021, ed. N. Minkov |
| Databáze: | arXiv |
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