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.

arXiv comment14 pages, 6 figures, published in Progress of Theoretical and Experimental Physics

References in corpus (25)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Chiral effective field theory and nuclear forces
• Quantum Monte Carlo methods for nuclear physics
• Quantum Monte Carlo Calculations of Light Nuclei
• From low-momentum interactions to nuclear structure
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Benchmark Test Calculation of a Four-Nucleon Bound State
• Structure and rotations of the Hoyle state
• Evolution of Nuclear Spectra with Nuclear Forces
• Tensor Forces and the Ground-State Structure of Nuclei
• Tensor correlation in 4He and its Effect on the doublet splitting in 5He
• From the lightest nuclei to the equation of state of asymmetric nuclear matter with realistic nuclear interactions
• Role of the tensor interaction in He isotopes with a tensor-optimized shell model
• Tensor-optimized antisymmetrized molecular dynamics in nuclear physics
• Tensor-optimized antisymmetrized molecular dynamics as a successive variational method in nuclear many-body system
• Nucleon-nucleon interactions via Lattice QCD: Methodology --HAL QCD approach to extract hadronic interactions in lattice QCD--
• High-momentum components in the ${}^4$He nucleus caused by inter-nucleon correlations
• Successive variational method of the tensor-optimized antisymmetrized molecular dynamics for central interaction in finite nuclei
• Power series expansion method in tensor-optimized antisymmetrized molecular dynamics beyond the Jastrow correlation method
• Short-range correlation in high-momentum antisymmetrized molecular dynamics
• Phase-shift calculation using continuum-discretized states
• Hybridization of tensor-optimized and high-momentum antisymmetrized molecular dynamics for light nuclei with bare interaction
• The tensor-optimized high-momentum antisymmetrized molecular dynamics with bare interaction and its application in ${}^4$He nucleus
• Contact representation of short range correlation in light nuclei studied by the High-Momentum Antisymmetrized Molecular Dynamics
• 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