Self consistent random phase approximation within the O(5) model and Fermi transitions

Details Self consistent random phase approximation within the O(5) model and Fermi transitions Self consistent random phase approximation within the O(5) model and Fermi transitions

1998-05-20

arxiv.org/abs/nucl-th/9805038v1

Nucl. Phys. A637 (1998) 295

Physics

Nuclear Physics

Nuclear Theory

28 pages, latex, 9 postSript figures, to be published in Nucl. Phys. A

Scientific paper

10.1016/S0375-9474(98)00231-0

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.

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