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

## TL;DR

This paper presents a theoretical calculation of the astrophysical S-factor for the ${}^6{
m Li}(p, extgamma){}^7{
m Be}$ reaction using a cluster model, matching experimental data and exploring resonance effects.

## Contribution

It introduces a new cluster model approach with adjusted potentials to accurately compute the S-factor and photon angular distribution for the reaction.

## Key findings

- Calculated S-factor agrees with experimental data
- Potential models reproduce bound state properties and phase shifts
- Resonance-like structures significantly affect the S-factor

## Abstract

We present a new calculation of the ${}^6{\rm Li}(p,\gamma){}^7{\rm Be}$ radiative capture astrophysical $S$-factor in a cluster model framework. We consider several intercluster potentials, adjusted to reproduce the ${}^7{\rm Be}$ bound state properties and the $p-{}^6{\rm Li}$ 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.