Power series expansion method in tensor-optimized antisymmetrized molecular dynamics beyond the Jastrow correlation method

Abstract

We developed a new variational method for tensor-optimized antisymmetrized molecular dynamics (TOAMD) for nuclei. In TOAMD, the correlation functions for the tensor force and the short-range repulsion are introduced and used in the power series form of the wave function, which is different from the Jastrow method. Here, nucleon pairs are correlated in multi-steps with different forms, while they are correlated only once including all pairs in the Jastrow correlation method. Each correlation function in every term is independently optimized in the variation of total energy in TOAMD. For s-shell nuclei using the nucleon-nucleon interaction, the energies in TOAMD are better than those in the variational Monte Carlo method with the Jastrow correlation function. This means that the power series expansion using the correlation functions in TOAMD describes the nuclei better than the Jastrow correlation method.

Short-Range and Tensor Correlations in Light Nuclei Studied with Antisymmetrized Molecular Dynamics

“…We investigated the s-shell nuclei with a new variational framework of "tensor-optimized antisymmetrized molecular dynamics" (TOAMD) [2][3][4][5][6][7][8][9][10]. We introduce two kinds of correlation functions for the short-range and tensor correlations to treat the nucleon-nucleon interaction.…”

“…Nucleon-nucleon (NN) interaction has a strong short-range repulsion and a strong tensor force [1]. Recently, we have developed a new variational approach to treat the characteristics of NN interaction in nuclei [2][3][4][5][6][7][8][9][10]. We use the antisymmetrized molecular dynamics (AMD) for nuclear wave function and adopt two kinds of two-body correlation functions with the central-and tensor-operator types.…”

Tensor-Optimized Antisymmetrized Molecular Dynamics for Light Nuclei with Bare Interactions

“…We performed the analysis of s-shell nuclei with a new variational method of "tensor-optimized antisymmetrized molecular dynamics" (TOAMD) [3][4][5][6][7]. In TOAMD, two kinds of correlation functions, F D and F S for the tensor and short-range correlations, respectively, are introduced to treat the nucleon-nucleon (NN) interaction directly in nuclei.…”

“…Recently, we developed a new variational method for treating the above characteristics of NN interaction in nuclei [3][4][5][6][7]. We use antisymmetrized molecular dynamics (AMD) for many-body wave function and introduce two kinds of two-body correlation functions with the tensor-and centraloperator types.…”

Finite particle number description of neutron matter using the unitary correlation operator and high-momentum pair methods *

“…Different approaches have been proposed to treat the N N correlations coming from the N N interaction, such as the utilization of correlation functions introducing the Jastrow factor and the renormalization of the N N interaction using the unitary transformation. In our recent variational approach proposed for finite nuclei, namely the tensor-optimized antisymmetrized molecular dynamics (TOAMD) [23][24][25][26][27], the central-and tensor-operator type correlation functions are employed to treat the short-range and tensor correlations, respectively. Within this method, the antisymmetrized-molecular-dynamics (AMD) [28] bases are used as basis wave functions.…”