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

We 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 were 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 was used in our calculations. The pn-QRPA equations of allowed (GT) and (FF) transitions were 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 nucleus in all simulations. Significantly, this study marks the first time that β-decay analysis has been applied to certain nuclei, including 82Ge50, 83As50, 84Se50, 85Br50 and 87Rb50 with N=50 isotones, and 132Sn82, 133Sb82, 134Te82, 135I82 and 137Cs82 with N=82 isotones. Since there is no prior theoretical research on these nuclei, this work is a unique addition to the field. We compared our results with the previous calculations and measured data, and our calculations agree with the experimental data and the other theoretical results.