Radiative nucleon capture with quasi-separable potentials

TL;DR

This paper introduces a method using quasi-separable potentials to analyze radiative nucleon capture reactions, simplifying the treatment of non-local effects and accurately calculating cross sections for neutron and proton captures on carbon-12.

Contribution

The paper presents a novel application of quasi-separable potentials to radiative capture reactions, enabling easier handling of non-local effects and extension to three-body problems.

Findings

Calculated neutron and proton capture cross sections agree with experimental data.

Method simplifies treatment of non-local effects in nuclear reactions.

Potential extension to three-body problems demonstrated.

Abstract

We study radiative capture reactions using quasi-separable potentials. This procedure allows an easier treatment of non-local effects that can be extended to three-body problems. Using this technique, we calculate the neutron and proton radiative capture cross sections on $^{12}$C. The results obtained are shown to be in good agreement with the available experimental data.