abstract

To investigate the role of surface energy coefficients, we perform a comparative study of heavy-ion fusion and quasi-elastic scattering reactions simultaneously. The results show that the surface energy coefficient significantly influences both fusion and quasi-elastic reactions. Our findings reveal that proximity potential based on the 1977 version, with parameters \(\gamma _{0}=1.08948~\mathrm {MeV}/\mathrm {fm}^{2}\) and \(k_\mathrm {s}=1.9830\), successfully reproduces the experimental measurements of fusion and quasi-elastic scattering. The average relative errors for the fusion cross section and quasi-elastic scattering data for selected reactions are 0.0558 and 0.0826, respectively.

abstract

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 \(N\approx Z\) line and provides valuable insights for future studies on weak-interaction processes in exotic nuclei.