Gamow–Teller Transitions and \(β \)-decay Properties of \(⁷⁴\)Kr: Effects of Deformation and Residual Interactions

Gamow–Teller (GT) transitions play a fundamental role in exploring nuclear structure and weak-interaction-mediated decay modes. In this study, a detailed investigation of the GT strength distributions for the neutron-deficient nucleus \(⁷⁴\)Kr is presented. The theoretical framework is based on the Quasiparticle Random Phase Approximation (QRPA), incorporating both particle–hole (\(ph\)) and particle–particle (\(pp\)) residual interactions. To examine the influence of different interactions, comparative analyses are performed using a schematic model and the Pyatov method. The resulting GT strength distributions are systematically compared with available experimental data to evaluate the predictive capacity of the employed models. This work contributes to a deeper understanding of spin–isospin excitations in nuclei near the \(N≈ Z\) line and provides valuable insights for future studies on weak-interaction processes in exotic nuclei. Abstract Published by the Jagiellonian University 2026 authors