Self consistent random phase approximation within the O(5) model and Fermi transitions
arXiv:nucl-th/9805038 · doi:10.1016/S0375-9474(98)00231-0
Abstract
Self Consistent Quasiparticle Random Phase Approximation (SCQRPA) is considered in application to the Fermi transitions within the O(5) model. It is demonstrated that SCQRPA improves on renormalized QRPA (RQRPA), a method that has recently become rather popular in this context. The analytical form of the SCQRPA vacuum is used to evaluate all the matrix elements. The SCQRPA results show a general trend similar to the exact solutions. The necessity to change the single particle basis beyond the transition point, and to include the proton-proton and neutron-neutron channels in the QRPA operator, in addition to the proton-neutron one, is pointed out.
28 pages, latex, 9 postSript figures, to be published in Nucl. Phys. A