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.

arXiv comment7 pages, 4 figures. arXiv admin note: text overlap with arXiv:1706.09560, update references

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Cited by in corpus (12)

• High-momentum components in the ${}^4$He nucleus caused by inter-nucleon correlations
• 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
• 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 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
• Successive variational approach with the tensor-optimized antisymmetrized molecular dynamics for the ${}^5$He nucleus
• New many-body method using cluster expansion diagrams with tensor-optimized antisymmetrized molecular dynamics
• Finite particle-number description of symmetric nuclear matter with spin excitations of high-momentum pairs induced by tensor force