Theoretical calculation of the $p-{}^6\mathrm{Li}$ radiative capture reaction

Abstract

We present a new calculation of the ${}^6\mathrm{Li}(p,\gamma ){}^7\mathrm{Be}$ radiative capture astrophysical $S$-factor in a cluster model framework. We consider several intercluster potentials, adjusted to reproduce the ${}^7\mathrm{Be}$ bound state properties and the $p-{}^6\mathrm{Li}$ elastic scattering phase shifts. Using these potentials, we calculate the astrophysical $S$-factor, obtaining a good agreement with available data, and the photon angular distribution. Finally, we discuss the consequences of a hypothetical resonance-like structure on the $S$-factor.

arXiv comment27 pages, 9 figures

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• Integer and half-integer channel spins for elastic scattering cross sections
• Theoretical calculation of nuclear reactions of interest for Big Bang Nucleosynthesis