Contact representation of short range correlation in light nuclei studied by the High-Momentum Antisymmetrized Molecular Dynamics

Abstract

The high-momentum antisymmetrized molecular dynamics (HMAMD) is a new promising framework with significant analytical simplicity and efficiency inherited from its antisymmetrized molecular dynamics in describing the high momentum correlations in various nuclear states. In the aim of further improving the numerical efficiency for the description of nucleon-nucleon correlation, we introduce a new formulation by including a new Gaussian weighted basis of high momentum pairs in the HMAMD wave function, with which very rapid convergence is obtained in numerical calculation. It is surprising that the very high-momentum components in the new HMAMD basis are found to be almost equivalent to the contact representation of the nucleon-nucleon pairs with very small nucleon-nucleon distance. The explicit formulation for the contact term significantly improves the numerical efficiency of the HMAMD method, which shows the importance of the contact correlation in the formulation of light nuclei.

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Cited by in corpus (7)

• High-momentum components in the ${}^4$He nucleus caused by inter-nucleon correlations
• Variational calculation of nuclear matter in finite particle number approach using unitary correlation operator and high-momentum pair methods
• Evolution of clustering structure through the momentum distributions in ${}^{8-10}$Be isotopes
• 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