The tensor-optimized high-momentum antisymmetrized molecular dynamics with bare interaction and its application in ${}^4$He nucleus

Abstract

We formulate the "tensor-optimized high-momentum antisymmetrized molecular dynamics (TO-HMAMD)" framework for ab initio calculations of nuclei by hybridizing the tensor-optimized (TO-) and high-momentum (HM-) AMD approaches. This hybrid approach has advantages in both analytical simplicity and numerical efficiency comparing with other AMD-based methods which treat the bare interaction, especially for heavier nuclear systems. In this work, the $s$-shell nucleus ${}^4$He is calculated with TO-HMAMD by including up to double product of nucleon-nucleon ($NN$) correlations, described by using high-momentum pairs and spatial correlation functions of nucleons. The total energy and radius of ${}^4$He nucleus are well reproduced using the AV8${}^{\prime }$ interaction. The spin-isospin channel dependence is also discussed for $NN$-correlations, which are found to be mostly contributed in the even-state channels, especially the triplet-even channel. Analyses of the analytical formation and numerical results suggest that TO-HMAMD could be a promising framework for general nuclear systems.

arXiv comment8 figures

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Cited by in corpus (10)

• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• High-momentum components in the ${}^4$He nucleus caused by inter-nucleon correlations
• 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
• Variational calculation of nuclear matter in finite particle number approach using unitary correlation operator and high-momentum pair methods
• 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
• 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