An effective two-body model for spectra of clusters of ${}^2$H, ${}^3$H, ${}^3$He, and $^4$He with $^4$He, and $^2$H-$^4$He scattering

TL;DR

This paper develops an effective two-body cluster model to describe the spectra and scattering properties of light nuclei such as ${}^6$Li, ${}^7$Li, ${}^7$Be, and ${}^8$Be, successfully explaining experimental data.

Contribution

The work introduces a simplified two-body cluster approach to accurately predict spectra and scattering in light nuclei, providing a practical alternative to complex many-body theories.

Findings

Successfully reproduces low-energy spectra of light nuclei.

Accurately predicts elastic scattering cross sections for ${}^2$H$+^4$He.

Demonstrates the effectiveness of two-body models in nuclear physics.

Abstract

Four light-mass nuclei are considered by an effective two-body clusterisation method; $^6$Li as $^2$H$+^4$He, $^7$Li as $^3$H$+^4$He, $^7$Be as $^3$He$+^4$He, and $^8$Be as $^4$He$+^4$He. The low-energy spectrum of each is determined from single-channel Lippmann-Schwinger equations, as are low-energy elastic scattering cross sections for the $^2$H$+^4$He system. These are presented at many angles and energies for which there are data. While some of these systems may be more fully described by many-body theories, this work establishes that a large amount of data may be explained by these two-body clusterisations.