Be reaction rate in the light of the new LUNA data*

We present new calculations of the astrophysical S-factor and reaction rate for the ⁶Li(p,γ) ⁷Be reaction at energies of 10 keV to 5 MeV in the framework of a modified potential cluster model (MPCM) with forbidden states considering low lying resonances. The astrophysical S-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 ⁶Li(p,γ) ⁷Be capture reaction rate is calculated at temperatures range of 0.01 to 10 T₉ and the effect of low-lying resonances on the reaction rate is estimated. It is demonstrated that MPCM approach has only one ambiguity arising from the accuracy of the experimentally determined asymptotic constants. Calculations of the reaction rate in the temperature range of 0.01 to 10 T₉ are compared with NACRE and NACRE II. Analytical approximation expressions for the S-factor and reaction rate are given. We suggest to update the NACRE and NACRE II data bases in light of the new LUNA data and present calculations.