Two-Center Gaussian potential well for studying light nucleus in cluster structure

TL;DR

This paper introduces a two-center Gaussian potential well model with spin-orbit coupling to analyze the energy levels and cluster structures of light nuclei, aiding in understanding their deformation and properties.

Contribution

It presents a novel approach using a two-center Gaussian potential with spin-orbit interaction to predict nuclear spin and parity in cluster-structured light nuclei.

Findings

Successfully calculated energy levels of light nuclei with cluster structures.

Predicted spin and parity of nuclei with two identical clusters.

Model captures deformation effects in light nuclei.

Abstract

The clustering phenomena is very important to determine structure of light nuclei and deformation of spherical shape is inevitable. Hence, we calculated the energy levels of two-center Gaussian potential well including spin-orbit coupling by solving the Schr\"odinger equation in the cylindrical coordinates. This model could predict the spin and parity of the light nucleus that have cluster structure consist of two identical clusters.