SD-pair shell model: Vibrational and rotational limits in the interacting boson-fermion model for like-nucleon system
Abstract
Typical features of the Bose-Fermi symmetries associated with U(5) and SU(3) limits in the interacting boson model are described in the SD-pair shell model (SDPSM) framework for like-nucleon system. It is found that the limiting spectra associated with U(5) (vibrational) and SU(3) (rotational) in the interacting boson-fermion model can be well reproduced in the SDPSM framework. It is shown that coupling of collective degree of freedom with the single-particle degree of freedom in the pairing interaction almost has no effect on the spectrum of odd-A system comparing to the adjacent even-even system, while the coupling of the collective degree of freedom with the single-particle degree of freedom in the quadrupole-quadrupole interaction results in the level splitting of several excited levels.