Beta decay logft values for zinc isotopes by using pn-QRPA

Abstract

Allowed Fermi (F), Gamow-Teller (GT), and first forbidden (FF) transitions were simulated using Pyatov Method (PM) and Schematic Model (SM) for even-even neutron rich isotopes of Zinc. The Fermi beta-decay calculations were obtained by the pure the Pyatov Method without introducing effective values of coupling constants using the proton-neutron quasi-particle random phase approximation (pn-QRPA). The pn-QRPA was utilized in the particle-hole (ph) and particle-particle (pp) channels in the PM and SM for the GT transitions. For FF transitions, only the corresponding ph channel in the SM was considered in the calculations. We solved the secular equations of Fermi, Gamow-Teller, and first forbidden transitions for eigenvalues and eigenfunctions of corresponding Hamiltonians. A spherical shape was assigned for each Zn nuclei throughout all simulations. Compared to the experimental studies, in general, the calculated logft values of the allowed F and GT transitions of PM and SM simulations were found to be closer to the experimental values. Alongside logft values, simulated half-lives obtained in this work are also in excellent agreement with experimental counterparts for the FF excitations.