The $^6$Li$(p, γ)^7$Be reaction rate in the light of the new LUNA data

Abstract

We present new calculations of the astrophysical S −factor and reaction rate for the 6 Li(p,γ) 7 Be reaction at energies of 10 keV to 5 MeV in the framework of a modified potential cluster model with forbidden states, including low lying resonances. The astrophysical S (E)−factor is compared with the available experimental data and calculations done within different models. The results for the S −factor are in good agreement with the data set (for E < 0.3 MeV) and calculations (for E < 0.6 MeV) of LUNA collaboration (Phys. Rev. C 102, 052802, 2020). The recommended extrapolated zero value S (0) turned out to be 101 eV ⋅ b. Using the theoretical total cross-sections, the 6 Li(p,γ) 7 Be capture reaction rate is calculated at temperatures ranging from 0.01 to 10 T 9 and compared with NACRE and NACRE II. Analytical expressions for the S −factor and reaction rate are given, and the effect of low-lying resonances on the reaction rate is estimated. We suggest to update the NACRE and NACRE II databases in light of the new LUNA data and present calculations.