Study of few $^3$He-induced nuclear fusion reactions using density-dependent double-folding complex potential

TL;DR

This study investigates specific $^3$He-induced nuclear fusion reactions at sub-barrier energies using a density-dependent double-folding potential model, providing improved theoretical predictions that align well with experimental data.

Contribution

It introduces a microscopically derived density-dependent double-folding potential model with M3Y-Reid interactions for better fusion cross-section calculations.

Findings

The model's predictions agree with experimental results.

Enhanced understanding of $^3$He-induced fusion reactions.

Improved accuracy over previous theoretical approaches.

Abstract

Nuclear fusion reactions at sub-barrier energies play crucial roles in many aspects of primordial nucleosynthesis in stellar objects. One of the primary aspects that plays a pivotal role in understanding the relationship between stellar evolution and nuclear reaction dynamics is the energy dependence of astronuclear observables, such as the fusion cross-section $\sigma$. This paper presents the results of a few $^3$He-induced nuclear fusion reactions-$^{3}$He($^3$He,2p)$^{4}$He, $^{6}$Li($^3$He,d)$^{7}$Be and $^{10}$B($^3$He,n)$^{12}$N which are investigated adopting the single-step selective resonant tunnelling model (SRTM). As an improvement over earlier works, the authors have used a microscopically derived density-dependent double-folding potential model, invoking the M3Y-Reid NN interactions, for the numerical computation of the astrophysical S-factor, $S(E)$, and the fusion cross-section, $\sigma$. The results of the calculations have been compared with those found in the literature. The results obtained in the present studies agree fairly with the experimentally observed results found in the literature.