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

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.

23 pages, 19 figures

References in corpus (7)

• Recent development of complex scaling method for many-body resonances and continua in light nuclei
• Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei
• Inversion doublets of 3N+N cluster structure in excited states of ${}^4$He
• Variation of multi-Slater determinants in antisymmetrized molecular dynamics and its application to ${}^{10}$Be with various clustering
• Resonances and scattering in microscopic cluster models with the complex-scaled generator coordinate method
• An extension of the generator coordinate method with basis optimization
• Successive variational approach with the tensor-optimized antisymmetrized molecular dynamics for the ${}^5$He nucleus

Cited by in corpus (3)

• Quadrupole transitions of ${}^{10}$C and their isospin symmetry with ${}^{10}$Be
• Shell and cluster structures in ${}^{20}$Ne in the variation of multiple bases of the antisymmetrized molecular dynamics
• Examination of the $\alpha$-cluster breaking in the four $0^{+}$ bands of ${}^{12}$C with the variation of multiple bases of the antisymmetrized molecular dynamics