Tensor-optimized antisymmetrized molecular dynamics in nuclear physics

Abstract

We develop a new formalism to treat nuclear many-body systems using bare nucleon-nucleon interaction. It has become evident that the tensor interaction plays important role in nuclear many-body systems due to the role of the pion in strongly interacting system. We take the antisymmetrized molecular dynamics (AMD) as a basic framework and add a tensor correlation operator acting on the AMD wave function using the concept of the tensor-optimized shell model (TOSM). We demonstrate a systematical and straightforward formulation utilizing the Gaussian integration and differentiation method and the antisymmetrization technique to calculate all the matrix elements of the many-body Hamiltonian. We can include the three-body interaction naturally and calculate the matrix elements systematically in the progressive order of the tensor correlation operator. We call the new formalism "tensor-optimized antisymmetrized molecular dynamics".

36 pages

References in corpus (3)

• Tensor-optimized shell model with bare nucleon-nucleon interaction for 4He
• Di-neutron clustering and deuteron-like tensor correlation in nuclear structure focusing on 11Li
• Shell and alpha cluster structures in 8Be with tensor-optimized shell model

Cited by in corpus (20)

• Heavy Hadrons in Nuclear Matter
• Complex scaling : physics of unbound light nuclei and perspective
• 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
• Variation of multi-Slater determinants in antisymmetrized molecular dynamics and its application to ${}^{10}$Be with various clustering
• 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
• Tensor optimized Fermi sphere method for nuclear matter -- power series correlated wave function and a cluster expansion
• Tensor correlations in ${}^4$He and ${}^8$Be with antisymmetrized quasi cluster model
• 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
• New trial wave function for nuclear cluster structure of nuclei
• Effect of the repulsive core in the proton-neutron potential on deuteron elastic breakup cross sections
• Finite particle-number description of symmetric nuclear matter with spin excitations of high-momentum pairs induced by tensor force