Description of the proton and neutron radiative capture reactions in the Gamow shell model

TL;DR

This paper develops a Gamow shell model in coupled-channel form to accurately describe proton and neutron radiative capture reactions, demonstrating its application to mirror reactions 7Be(p,gamma)8B and 7Li(n,gamma)8Li.

Contribution

It introduces a novel GSM-CC formalism for reaction calculations and applies it to specific mirror nuclear reactions for the first time.

Findings

Successfully calculated cross-sections for mirror reactions.

Validated the GSM-CC approach with realistic nuclear interactions.

Provided insights into the structure of radiative capture processes.

Abstract

We formulate the Gamow shell model (GSM) in coupled-channel (CC) representation for the description of proton/neutron radiative capture reactions and present the first application of this new formalism for the calculation of cross-sections in mirror reactions 7Be(p,gamma)8B and 7Li(n,gamma)8Li. The GSM-CC formalism is applied to a translationally-invariant Hamiltonian with an effective finite-range two-body interaction. Reactions channels are built by GSM wave functions for the ground state 3/2- and the first excited state 1/2- of 7Be/7Li and the proton/neutron wave function expanded in different partial waves.