Astrophysical S-factor for $^6$Li$(p,\gamma)$$^7$Be in the coupled-channel Gamow shell model

TL;DR

This paper uses the coupled-channel Gamow shell model to calculate the astrophysical S-factor for the $^6$Li$(p,\, ext{gamma})$ reaction, achieving good agreement with experimental data.

Contribution

It introduces a novel application of the Gamow shell model in coupled-channel form to compute the S-factor for this specific nuclear reaction.

Findings

Calculated S-factor agrees well with experimental data.

Includes all relevant E1, M1, and E2 transitions.

Provides a detailed theoretical framework for the reaction.

Abstract

We have applied the Gamow shell model (GSM) in the coupled-channel representation to study the astrophysical $S$-factor for the proton radiative capture reaction of $^6$Li. Reaction channels are built by coupling the proton wave function expanded in different partial waves with the GSM wave functions of the ground state ($1^+$) and the excited states ($3^+_1$, $0^+_1$ and $2^+_1$) of $^6$Li. All relevant $E1$, $M1$, and $E2$ transitions from the initial continuum states in $^7$Be to the final bound states (${3/2}^-_1$ and ${1/2}^-_1$) states are included. It is found that the calculated total astrophysical $S$ factor for this reaction agrees well with the experimental data.