Short-range correlation in high-momentum antisymmetrized molecular dynamics

Abstract

We propose a new variational method for treating short-range repulsion of bare nuclear force for nuclei in antisymmetrized molecular dynamics (AMD). In AMD, the short-range correlation is described in terms of large imaginary centroids of Gaussian wave packets of nucleon pairs in opposite signs, causing high-momentum components in nucleon pair. We superpose these AMD basis states and name this method "high-momentum AMD" (HM-AMD), which is capable of describing strong tensor correlation (Prog. Theor. Exp. Phys. (2017) 111D01). In this paper, we extend HM-AMD by including up to two kinds of nucleon pairs in each AMD basis state utilizing the cluster expansion, which produces many-body correlations involving high-momentum components. We investigate how much HM-AMD describes the short-range correlation by showing the results for ${}^3$H using the Argonne V4${}^{\prime }$ central potential. It is found that HM-AMD reproduces the results of few-body calculations and also the tensor-optimized AMD. This means that HM-AMD is a powerful approach to describe the short-range correlation in nuclei. In HM-AMD, momentum directions of nucleon pairs isotropically contribute to the short-range correlation, which is different from the tensor correlation.

11 pages, 7 figures

References in corpus (6)

• Tensor-optimized shell model with bare nucleon-nucleon interaction for 4He
• Tensor correlation in 4He with the tensor-optimized shell model
• Tensor-optimized antisymmetrized molecular dynamics as a successive variational method in nuclear many-body system
• 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
• Hybridization of tensor-optimized and high-momentum antisymmetrized molecular dynamics for light nuclei with bare interaction

Cited by in corpus (11)

• High-momentum components in the ${}^4$He nucleus caused by inter-nucleon correlations
• 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
• Tensor correlations in ${}^4$He and ${}^8$Be with antisymmetrized quasi cluster model
• Tensor optimized Fermi sphere method for nuclear matter -- power series correlated wave function and a cluster expansion
• Finite particle number description of neutron matter using the unitary correlation operator and high-momentum pair methods
• New many-body method using cluster expansion diagrams with tensor-optimized antisymmetrized molecular dynamics
• Successive variational approach with the tensor-optimized antisymmetrized molecular dynamics for the ${}^5$He nucleus
• Implementation of chiral two-nucleon forces to nuclear many-body methods with Gaussian-wave packets
• Finite particle-number description of symmetric nuclear matter with spin excitations of high-momentum pairs induced by tensor force