A New Model for Calculating the Binding Energy of Lithium Nucleus under the Generalized Yukawa Potential and Hellmann Potential

TL;DR

This paper develops a model using supersymmetry to calculate the lithium nucleus's binding energy with specific potentials, achieving results closely matching experimental data.

Contribution

It introduces a novel application of supersymmetry to solve the Schrödinger equation for lithium with Yukawa and Hellmann potentials, providing accurate binding energy predictions.

Findings

Binding energies closely match experimental values

Model successfully applies supersymmetry to nuclear potentials

Results validate the effectiveness of the proposed potentials

Abstract

In this paper, the Schr\"odinger equation for 6-body system is studied. We solved this equation for lithium nucleus by using supersymmetry method with the specific potentials. These potentials are Yukawa potential, the generalized Yukawa potential and Hellmann potential. The results of our model for all calculations show that the ground state binding energy of Lithium nucleus with these potentials are very close to the ones obtained in experiments.