Cluster configurations in Li isotopes in the variation of multi-bases of the antisymmetrized molecular dynamics

TL;DR

This paper explores the cluster configurations in lithium isotopes using antisymmetrized molecular dynamics, revealing various cluster states, including predicted linear-chain states in $^9$Li, and reproducing observed spectra.

Contribution

It introduces a method to determine multiple cluster configurations in Li isotopes through multi-Slater determinants in antisymmetrized molecular dynamics, including predictions of new excited states.

Findings

Confirmation of various cluster configurations in Li isotopes.

Prediction of $^3$He+$d$ clustering in excited $^5$Li.

Identification of linear-chain states in $^9$Li at 10-13 MeV.

Abstract

We investigate the cluster configurations in Li isotopes, which are described in the optimization of the multi-Slater determinants of the antisymmetrized molecular dynamics. Each Slater determinant in the superposition is determined simultaneously in the variation of the total energy. The configurations of the excited states are obtained by imposing the orthogonal condition to the ground-state configurations. In Li isotopes, various cluster configurations are confirmed and are related to the thresholds of the corresponding cluster emissions. For $^5$Li, we predict the $^3$He+$d$ clustering in the excited state as well as the mirror state of $^5$He with $^3$H+$d$. For $^{6-9}$Li, various combinations of the clusters are obtained in the ground and excited states, and the superposition of these basis states reproduces the observed energy spectra. For $^9$Li, we predict the linear-chain states consisting of various cluster configurations at 10--13 MeV of the excitation energy.