Tensor-optimized high-momentum antisymmetrized molecular dynamics with a bare interaction, and its application to the He-4 nucleus

摘要

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 compared with other AMD-based methods which treat the bare interaction, especially for heavier nuclear systems. In this work, the s-shell nucleus He-4 is calculated with TO-HMAMD by including up to double product of nucleon-nucleon (N N) correlations, described by using high-momentum pairs and spatial correlation functions of nucleons. The total energy and radius of the He-4 nucleus are well reproduced using the AV8' interaction. The spin-isospin channel dependence is also discussed for N N 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 p-shell nuclear systems.