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<p>The <sup>14</sup>N (<i>p, γ</i>)<sup>15</sup>O reaction is a very important reaction and plays a key role in the CNO cycle for determining the lifetime of stars. The main goal of this work is to calculate the astrophysical S-factor at low energies and accurately determine the reaction rate at high temperatures using the Gaussian potential model. In this work, we computed the cross section and the astrophysical S-factor for this reaction for E1 and E2 electric transitions from the <sup>15</sup>O resonance at 8.2840MeV ± 0.5 keV to key excited states (5.18, 5.24, 6.18, 6.79, 6.86, and 7.28 MeV).The calculated S-factor values have been compared with previous theoretical and experimental studies, showing good agreement. The S(0) values for the mentioned transitions were also compared with other works and showed consistent results. The derived reaction rate agrees well with the NACRE compilation and other established datasets, validating the GPM (Gaussian potential model) as a reliable tool for astrophysical applications.</p>

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The astrophysical S-factor for the 14N(p,γ)15O reaction: a Gaussian potential model study

  • 期刊论文

  • 发表日期：

    2026年5月18日

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  • Roshanak Ghorbani,
  • Hassan Khalili,
  • Amir Hossein Ansari,
  • Shahla Nahidinezhad,
  • Masoumeh Dalvand

摘要

The 14N (p, γ)15O reaction is a very important reaction and plays a key role in the CNO cycle for determining the lifetime of stars. The main goal of this work is to calculate the astrophysical S-factor at low energies and accurately determine the reaction rate at high temperatures using the Gaussian potential model. In this work, we computed the cross section and the astrophysical S-factor for this reaction for E1 and E2 electric transitions from the 15O resonance at 8.2840MeV ± 0.5 keV to key excited states (5.18, 5.24, 6.18, 6.79, 6.86, and 7.28 MeV).The calculated S-factor values have been compared with previous theoretical and experimental studies, showing good agreement. The S(0) values for the mentioned transitions were also compared with other works and showed consistent results. The derived reaction rate agrees well with the NACRE compilation and other established datasets, validating the GPM (Gaussian potential model) as a reliable tool for astrophysical applications.