Beta Decay Properties of Waiting-Point N=50 and 82 Isotopes

We have performed the microscopic calculation of β-decay properties for waiting point nuclei with neutron-closed magic shells. Allowed Gamow-Teller (GT), and first-forbidden (FF) transitions have been simulated using a Schematic Model (SM) for waiting-point N=50,82 isotopes in the framework of a proton-neutron quasiparticle random phase approximation ( pn-QRPA). The Woods-Saxon (WS) potential basis has been used in our calculations. The pn-QRPA equations of allowed GT and FF transition have been utilized in both the particle-hole ( ph ) and particle-particle ( pp ) channels in the SM. We solved the secular equations of the GT and FF transitions for eigenvalues and eigenfunctions of the corresponding Hamiltonians. A spherical shape was assigned to each waiting-point nuclei in all simulations. Significantly, this study marks the first time that β-decay analysis has been applied to certain nuclei, including 5082Ge,5083As,5084Se,5085Br and 5087Rb with (N=50 isotones) and 82132Sn,82133Sb,82134Te,82135I and82137Cs with (N=82 isotones). Since there had been no prior theoretical research on these nuclei, this work is a unique addition to the field. We have compared our results with the previous calculations and measured data, and our calculations agree with the experimental data and the other theoretical results.