Bulg. J. Phys. vol.48 no.5-6 (2021), pp. 421-431



Microscopic Version of the Bohr-Mottelson Model and Its Application

H.G. Ganev
Joint Institute for Nuclear Research, Dubna, Russia
Abstract. The shell-model coupling scheme of the proton-neutron symplectic model (PNSM), defined by the following dynamical symmetry chain Sp(12,R) ⊃ SU(1,1) ⊗ SO(6) ⊃ U(1) ⊗ SUpn(3) ⊗ SO(2) ⊃ 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.

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