New many-body method using cluster expansion diagrams with tensor-optimized antisymmetrized molecular dynamics

Abstract

We propose a new many-body method based on the correlation functions, in which the multiple products of the correlation functions are expanded into the many-body diagrams using the cluster expansion method and every diagram is independently optimized in the total-energy variation. We apply this idea to the tensor-optimized antisymmetrized molecular dynamics (TOAMD) using the bare nucleon-nucleon interaction and show the results of the $s$-shell nuclei within the triple products of the correlation functions of tensor and central-types. We evaluate the effect of the independent optimization of the many-body diagrams on the solutions. It is found that the triple products provides the sizable effect in the present scheme, which results in the good reproduction of the total energy and the Hamiltonian components of nuclei with respect to the few-body calculations.

arXiv comment12 pages, 13 figures

References in corpus (23)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Quantum Monte Carlo methods for nuclear physics
• Quantum Monte Carlo Calculations of Light Nuclei
• Benchmark Test Calculation of a Four-Nucleon Bound State
• Evolution of Nuclear Spectra with Nuclear Forces
• Tensor Forces and the Ground-State Structure of Nuclei
• Global-Vector Representation of the Angular Motion of Few-Particle Systems II
• 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
• Hybridization of tensor-optimized and high-momentum antisymmetrized molecular dynamics for light nuclei with bare interaction
• High-momentum antisymmetrized molecular dynamics compared with tensor-optimized shell model for strong tensor correlation
• Contact representation of short range correlation in light nuclei studied by the High-Momentum Antisymmetrized Molecular Dynamics
• The tensor-optimized high-momentum antisymmetrized molecular dynamics with bare interaction and its application in ${}^4$He nucleus
• Variational calculation of nuclear matter in finite particle number approach using unitary correlation operator and high-momentum pair methods
• New successive variational method of tensor-optimized antisymmetrized molecular dynamics for nuclear many-body systems
• Finite particle number description of neutron matter using the unitary correlation operator and high-momentum pair methods
• Successive variational approach with the tensor-optimized antisymmetrized molecular dynamics for the ${}^5$He nucleus

Cited by in corpus (3)

• 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
• Finite particle-number description of symmetric nuclear matter with spin excitations of high-momentum pairs induced by tensor force