Quantum phase crossover in the spherical mean-field plus quadrupole-quadrupole and pairing model with two j -orbits

Bo Li, Anshan Normal University
Feng Pan, Liaoning Normal University
Xiao Xue Ding, Anshan Normal University
J. P. Draayer, Louisiana State University

Abstract

The shape phase crossover in the mean-field plus the geometric quadrupole-quadrupole and pairing model within two j-orbits is analyzed, for which a simple description of 103-110Sn confined in the lowest 1d5/2 and 0g7/2 orbits above the 100Sn core is demonstrated to reveal the crossover behavior of the model. It is shown that B(E2; 41+ → 2 1+)/B(E2; 2 1+ → 0 g+), Q(41+)/Q(2 1+) and B(E2; 9/21+ → 5/2 1+)/B(E2; 11/2 1+ → 7/2 1+), Q(9/21+)/Q(7/2 1+) in this case may serve as effective order parameters for even-even and odd-A systems, respectively, from which the shape phase crossover from the rotation-like phase to the superconducting-like phase can be observed with variation of the number of valence neutrons.