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Re-examination of the Effect of Pairing Gaps on Gamow-Teller Strength Distributions and $\beta$-decay Rates
Version 1
: Received: 22 December 2023 / Approved: 22 December 2023 / Online: 22 December 2023 (17:24:48 CET)
A peer-reviewed article of this Preprint also exists.
Nabi, J.-U.; Riaz, M.; Mehmood, A. Re-Examination of the Effect of Pairing Gaps on Gamow–Teller Strength Distributions and β-Decay Rates. Universe 2024, 10, 128. Nabi, J.-U.; Riaz, M.; Mehmood, A. Re-Examination of the Effect of Pairing Gaps on Gamow–Teller Strength Distributions and β-Decay Rates. Universe 2024, 10, 128.
Abstract
$\beta$-decay is one of the key factors to understand the $r$-process and evolution of massive stars. The Gamow-Teller (GT) transitions drive the $\beta$-decay process. We employ the proton-neutron quasiparticle random phase approximation (pn-QRPA) model to calculate terrestrial and stellar $\beta$-decay rates for 50 top-ranked nuclei possessing astrophysical significance according to a recent survey \cite{Nab21}. The model parameters of the pn-QRPA model effect the predicated results of $\beta$-decay. The current study investigates the effect of nucleon-nucleon pairing gaps on charge-changing transitions and the associated $\beta$ decay rates. Three different values of pairing gaps, namely TF, 3TF and 5TF, were used in our investigation. It was concluded that both GT strength distributions and half-lives are sensitive to pairing gap values. The 3TF pairing gap scheme, in our chosen nuclear model, resulted in best prediction with around 80$\%$ of the calculated half-lives within a factor 10 of the measured ones. The 3TF pairing scheme also led to calculation of biggest $\beta$-decay rates in stellar matter.
Keywords
Gamow-Teller strength; pairing gaps; half-lives; deformed pn-QRPA; $\beta$ decay rates, partial half lives
Subject
Physical Sciences, Nuclear and High Energy Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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