Astrophysical S-factors of radiative capture of protons on 2H, 3H, 6Li and 12C nuclei

TL;DR

This paper explores a potential cluster model approach, incorporating supermultiplet symmetry and Young's schemes, to analyze astrophysical S-factors for light nuclei radiative capture reactions, aiming to better understand nuclear interactions.

Contribution

It introduces a novel method combining supermultiplet symmetry and Young's schemes within the potential cluster model to analyze S-factors of light nuclei.

Findings

The approach identifies allowed and forbidden states in nuclear potentials.

It determines the number of nodes in orbital wave functions.

Provides insights into inter-cluster interaction structures.

Abstract

We have considered the possibility to describe the astrophysical S-factors of some light atomic nuclei on the basis of the potential cluster model by taking into account the supermultiplet symmetry of wave functions and splitting the orbital states according to Young's schemes. Such an approach allows analyzing the structure of inter-cluster interactions, to determine the presence of allowed and forbidden states in the interaction potential and so the number of nodes of the orbital wave function of cluster relative motion.