<p>Quantities depending on the low-energy microscopic structure of the nucleus (e.g., <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\beta\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>-strength functions, low-lying quasiparticle energies and nuclear masses) exhibit a strong dependence on nuclear pairing force. Determination of these quantities necessitates consideration of pairing effects. The current study provides valuable insights into charge-changing transitions, half-lives and stellar electron capture (SEC) rates by taking into account the effect of pairing gaps. The nuclei were selected from a list of the top 50 electron-capturing nuclei, which have the largest effect on <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(Y_e\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>Y</mi> <mi>e</mi> </msub> </math></EquationSource> </InlineEquation> for conditions after silicon core burning&#xa0;(Nabi et al. in Astrophys J 911:93, 2011). We employ the deformed proton–neutron quasiparticle random phase approximation (pn-QRPA) model for the calculations. SEC rates calculated by the four-point formula were up to 10<InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>%</mo> </math></EquationSource> </InlineEquation> bigger in the high-temperature and -density phases of stellar core. The four-point formula resulted in the best prediction power of our nuclear model reproducing 97.36<InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>%</mo> </math></EquationSource> </InlineEquation> of measured half-lives within a factor of 10. The calculated SEC rates, using the four-point formula were, on average, factor 8 (2) bigger than the large-scale shell model (independent particle model) results. For heavier nuclei (65 <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\le A \le\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>≤</mo> <mi>A</mi> <mo>≤</mo> </mrow> </math></EquationSource> </InlineEquation> 80), our SEC rates were, on average, factor 19 bigger than the independent particle model rates. The current findings bear significance for late stellar evolution phases of massive stars.</p>

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Impact of pairing gaps on β-decay properties and stellar electron capture rates

  • Jameel-Un Nabi,
  • Arslan Mehmood,
  • Muhammad Riaz

摘要

Quantities depending on the low-energy microscopic structure of the nucleus (e.g., \(\beta\) β -strength functions, low-lying quasiparticle energies and nuclear masses) exhibit a strong dependence on nuclear pairing force. Determination of these quantities necessitates consideration of pairing effects. The current study provides valuable insights into charge-changing transitions, half-lives and stellar electron capture (SEC) rates by taking into account the effect of pairing gaps. The nuclei were selected from a list of the top 50 electron-capturing nuclei, which have the largest effect on \(Y_e\) Y e for conditions after silicon core burning (Nabi et al. in Astrophys J 911:93, 2011). We employ the deformed proton–neutron quasiparticle random phase approximation (pn-QRPA) model for the calculations. SEC rates calculated by the four-point formula were up to 10 \(\%\) % bigger in the high-temperature and -density phases of stellar core. The four-point formula resulted in the best prediction power of our nuclear model reproducing 97.36 \(\%\) % of measured half-lives within a factor of 10. The calculated SEC rates, using the four-point formula were, on average, factor 8 (2) bigger than the large-scale shell model (independent particle model) results. For heavier nuclei (65 \(\le A \le\) A 80), our SEC rates were, on average, factor 19 bigger than the independent particle model rates. The current findings bear significance for late stellar evolution phases of massive stars.