Astrophysical S-factor for the deep sub-barrier fusion reactions of light nuclei

TL;DR

This paper models the astrophysical S-factor for deep sub-barrier fusion of light nuclei using a selective resonant tunneling approach with a complex square-well potential, aligning well with experimental data.

Contribution

It introduces a novel theoretical framework for calculating fusion cross sections at low energies, emphasizing the role of resonant tunneling with a complex potential.

Findings

The model accurately reproduces experimental cross sections.

Features of the S-factor are derived within this formalism.

The approach is effective for low-energy resonant reactions.

Abstract

The cross sections for the deep sub-barrier fusion reaction of light nuclei are calculated within the theoretical framework of the selective resonant tunneling model. In this model, assumption of a complex square-well nuclear potential is invoked to describe the absorption inside the nuclear well. The theoretical estimates for these cross sections agree well with the experimentally measured values. The features of the astrophysical S-factor are derived in terms of this model. Present formalism appears to be particularly useful for the low energy resonant reactions between two charged nuclei.