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

TL;DR

The paper introduces a hybrid tensor-optimized high-momentum AMD framework for ab initio nuclear calculations, demonstrating its efficiency and accuracy in modeling the helium-4 nucleus with realistic interactions.

Contribution

It develops and applies a novel hybrid AMD method combining tensor optimization and high-momentum correlations for nuclear structure calculations.

Findings

Accurately reproduces $^{4}$He energy and radius with AV8' interaction.

Shows dominance of even-state channels in nucleon-nucleon correlations.

Suggests the method's potential for broader nuclear system applications.

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.