Akademik Veri Yönetim Sistemi
Physica Scripta, cilt.101, sa.24, 2026 (SCI-Expanded, Scopus)
This study investigates how neutron and proton pairing correlations influence the Gamow–Teller (GT) strength distributions and (Formula presented) (Formula presented) -decay properties of (Formula presented) (Formula presented) Kr for both spherical and deformed nuclear configurations. Unlike previous quasiparticle random phase approximation (QRPA) studies of (Formula presented) (Formula presented) Kr that mainly emphasized deformation effects, the present work systematically investigates how different experimentally constrained pairing-gap prescriptions affect GT strength distributions and weak-decay observables within a unified spherical and deformed QRPA framework. Instead of treating pairing gaps as adjustable parameters, we employ three prescriptions constrained by experimental data (mass-dependent gaps, AME2020 odd–even staggering, and separation-energy–based gaps) to evaluate the sensitivity of GT and (Formula presented) (Formula presented) -decay observables to realistic pairing inputs. Pairing correlations modify quasiparticle energies and configuration mixing within the QRPA framework, leading to changes in centroid energies, fragmentation patterns, and transition strengths. The analysis is performed within the QRPA formalism. Spherical calculations are carried out using the schematic model (SM-sph) and the Pyatov method. Deformed-basis calculations are performed for both oblate and prolate configurations using the SM and, for reference, within the single-quasiparticle approximation, in order to evaluate the influence of different neutron ((Formula presented) (Formula presented)) and proton ((Formula presented) (Formula presented)) pairing gaps. The results show that pairing correlations significantly modify the GT strength distributions, producing model-dependent shifts in peak positions and strength values. Furthermore, (Formula presented) (Formula presented) -decay observables such as log(ft) values and half-lives in the deformed configurations exhibit a strong sensitivity to the pairing input. These findings highlight the importance of incorporating realistic pairing effects in nuclear models to achieve reliable predictions of weak-interaction processes and to improve the understanding of nuclear structure in both spherical and deformed systems. The calculated results reproduce the available experimental GT data without introducing an additional phenomenological quenching factor for the axial-vector coupling constant. However, this result should be regarded as model dependent and specific to the present QRPA framework and the considered observables of (Formula presented) (Formula presented) Kr.