Successive variational approach with the tensor-optimized antisymmetrized molecular dynamics for the ${}^5$He nucleus

Abstract

We study ${}^5$He variationally as the first $p$-shell nucleus in the tensor-optimized antisymmetrized molecular dynamics (TOAMD) using the bare nucleon--nucleon interaction without any renormalization. In TOAMD, the central and tensor correlation operators promote the AMD's Gaussian wave function to a sophisticated many-body state including the short-range and tensor correlations with high-momentum nucleon pairs. We develop a successive approach by applying these operators successively with up to double correlation operators to get converging results. We obtain satisfactory results for ${}^5$He, not only for the ground state but also for the excited state, and discuss explicitly the correlated Hamiltonian components in each state. We also show the importance of the independent optimization of the correlation functions in the variation of the total energy beyond the condition assuming common correlation forms used in the Jastrow approach.

14 pages, 6 figures, published in Progress of Theoretical and Experimental Physics

References in corpus (6)

• Chiral effective field theory and nuclear forces
• Structure and rotations of the Hoyle state
• Tensor Forces and the Ground-State Structure of Nuclei
• From the lightest nuclei to the equation of state of asymmetric nuclear matter with realistic nuclear interactions
• Power series expansion method in tensor-optimized antisymmetrized molecular dynamics beyond the Jastrow correlation method
• Variational calculation of nuclear matter in finite particle number approach using unitary correlation operator and high-momentum pair methods

Cited by in corpus (2)

• Cluster configurations in Li isotopes in the variation of multi-bases of the antisymmetrized molecular dynamics
• New many-body method using cluster expansion diagrams with tensor-optimized antisymmetrized molecular dynamics