Tensor-optimized antisymmetrized molecular dynamics as a successive variational method in nuclear many-body system

Abstract

We study the tensor-optimized antisymmetrized molecular dynamics (TOAMD) as a successive variational method in many-body systems with strong interaction for nuclei. In TOAMD, the correlation functions for the tensor force and the short-range repulsion and their multiples are operated to the AMD state as the variational wave function. The total wave function is expressed as the sum of all the components and the variational space can be increased successively with the multiple correlation functions to achieve convergence. All the necessary matrix elements of many-body operators, consisting of the multiple correlation functions and the Hamiltonian, are expressed analytically using the Gaussian integral formula. In this paper we show the results of TOAMD with up to the double products of the correlation functions for the s-shell nuclei, 3H and 4He, using the nucleon-nucleon interaction AV8'. It is found that the energies and Hamiltonian components of two nuclei converge rapidly with respect to the multiple of correlation functions. This result indicates the efficiency of TOAMD for the power series expansion in terms of the tensor and short-range correlation functions.

7 pages, 5 figures, added references, corrected typos

References in corpus (2)

• Microscopic calculation of the 3He(alpha,gamma)7Be and 3H(alpha,gamma)7Li capture cross sections using realistic interactions
• Tensor-optimized shell model with bare nucleon-nucleon interaction for 4He

Cited by in corpus (22)

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• Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory
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• 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
• Short-range correlation in high-momentum antisymmetrized molecular dynamics
• Variation of multi-Slater determinants in antisymmetrized molecular dynamics and its application to ${}^{10}$Be with various clustering
• 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
• Resonances and scattering in microscopic cluster models with the complex-scaled generator coordinate method
• 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
• Tensor correlations in ${}^4$He and ${}^8$Be with antisymmetrized quasi cluster model
• Cluster configurations in Li isotopes in the variation of multi-bases of the antisymmetrized molecular dynamics
• 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
• Finite particle-number description of symmetric nuclear matter with spin excitations of high-momentum pairs induced by tensor force
• Examination of the $\alpha$-cluster breaking in the four $0^{+}$ bands of ${}^{12}$C with the variation of multiple bases of the antisymmetrized molecular dynamics