Re-evaluation of the 26Si(p,γ)27P astrophysical reaction rate

Abstract

In this work, we re-evaluate the reaction rate for the ²⁶Si(p,γ)²⁷P process, motivated by discrepancies in previous studies regarding key parameters such as ${\Gamma }_{\gamma }$, ${\Gamma }_p$, ωγ, and the S - factor at zero energy, S(0). Using the NuShellX code with the newly developed USDCm interaction [20], we performed shell model calculations to reproduce energy levels and calculate spectroscopic factors for various states. The gamma width (${\Gamma }_{\gamma }$) values for the 3/2⁺ and 5/2⁺ states were determined using shell model calculations. Additionally, we employed the WSPOT code to analyze scattering cross-sections and phase shifts to compute the proton width (${\Gamma }_p$) values. After that, we have calculated the resonance strength (ωγ) values for 3/2⁺ and 5/2⁺ states respectively. Here, we have utilized the RADCAP code to calculate the S - factor at zero energy, S(0). Finally, we computed the reaction rates across a temperature range of 0.1 - 2 GK. Our results provide a refined understanding of the ²⁶Si(p,γ)²⁷P reaction rate, addressing inconsistencies in previous studies.