Self consistent description of the interplay between shape and pairing deformations: Static properties

Abstract

The competition between pairing and multipole fields is studied within the framework of a two-level model, employing different theoretical approaches. The importance of a selfconsistent tretment is clearly revealed. Special attention is payed to the microscopic mechanisms that take place when the system undergoes various phase transitions.

Quasi spin pairing and the structure of the Lipkin Model

“…On the other one, the monopole force, under whose action the system tries to attain the maximum possible value of J. We are thus reminded of the competition between pairing and deformation [3] in atomic nuclei, case in which, however, no exact treatment is available for the quadrupole force [3]. Thus, the present model allows one to perform detailed studies concerning the reliability of different approximations, specially for those values of v and g for which phase transitions occur.…”