High-momentum antisymmetrized molecular dynamics compared with tensor-optimized shell model for strong tensor correlation

Abstract

We treat the tensor correlation in antisymmetrized molecular dynamics (AMD) including large-relative-momentum components among nucleon pairs for finite nuclei. The tensor correlation is described by using large imaginary centroid vectors of Gaussian wave packets for nucleon pairs with opposite directions, which makes a large relative momentum. We superpose the AMD basis states, in which one nucleon pair has various relative momenta for all directions; this new method is called "high-momentum AMD" (HM-AMD). We show the results for ${}^4$He using the effective interaction having a strong tensor force. It is found that HM-AMD provides a large tensor matrix element comparable to the case of the tensor-optimized shell model (TOSM), in which the two-particle-two-hole (2p-2h) excitations are fully included to describe the tensor correlation. The results of two methods agree with each other at the level of the Hamiltonian components of ${}^4$He. This indicates that in HM-AMD the high-momentum components described by the imaginary centroid vectors of the nucleon pair provide the equivalent effect of the 2p-2h excitations for the tensor correlation.

11 pages, 4 figures, added references

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Cited by in corpus (10)

• Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory
• Variation of multi-Slater determinants in antisymmetrized molecular dynamics and its application to ${}^{10}$Be with various clustering
• 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
• Role of Tensor Interaction as Salvation of Cluster Structure in ${}^{44}$Ti
• Tensor correlations in ${}^4$He and ${}^8$Be with antisymmetrized quasi cluster model
• Evolution of clustering structure through the momentum distributions in ${}^{8-10}$Be isotopes
• 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