SELF-CONSISTENT RANDOM-PHASE-APPROXIMATION WITHIN THE O(5) MODEL AND FERMI TRANSITIONS

Self-consistent quasiparticle random phase approximation (SCQRPA) is c onsidered in application to the Fermi transitions within the O(5) mode l. It is demonstrated that SCQRPA improves on renormalized QRPA (RQRPA ), a method that has recently become rather popular in this context. T he analytical form of the SCQRPA vacuum is used to evaluate all the ma trix elements. The SCQRPA results show a general trend similar to the exact solutions. The necessity to change the single particle basis bey ond the transition point, and to include the proton-proton and neutron -neutron channels in the QRPA operator, in addition to the proton-neut ron one, is pointed out. (C) 1998 Elsevier Science B.V.