Understanding nuclear shape phase transitions within SD-pair shell model
Abstract
The effect of strength of each interaction on the nuclear shape phase and their transitional patterns are studied in the SD-pair shell model with a Hamiltonian composed of the single-particle energy term, monopole-pairing, quadrupolepairing and quadrupole-quadrupole interaction for identical nucleon system. It is shown that with quandrupole-pairing interaction and quadrupole-quadrupole interaction strengths set to be 0, the nuclear phase transition from singleparticle motion to collective motion can be produced by changing the monopole pairing interaction. With fixed monopole-pairing interaction and quadrupolepairing interactional strength set to be 0, the like-vibration-rotation shape phase transitional pattern can be produced by changing the quadrupolequadrupole interaction from 0 to 0.1MeV/r40.