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arXiv · 2201.07987

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

S. B. Dubovichenko·A. S. Tkachenko·R. Ya. Kezerashvili·N. A. Burkova·A. V. Dzhazairov-Kakhramanov
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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 $\cdot $ 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.

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S. B. Dubovichenko, A. S. Tkachenko, R. Ya. Kezerashvili, N. A. Burkova, A. V. Dzhazairov-Kakhramanov. 2022-01-20. The $^6$Li$(p, γ)^7$Be reaction rate in the light of the new LUNA data. https://doi.org/10.1103/physrevc.105.065806

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