Implementation of chiral two-nucleon forces to nuclear many-body methods with Gaussian-wave packets

TL;DR

This paper develops a formalism to incorporate chiral two-nucleon forces into nuclear many-body methods using Gaussian-wave packets, enabling more accurate ab initio studies of nuclear clustering phenomena.

Contribution

It introduces a method to calculate two-body matrix elements of chiral forces within Gaussian-wave packet frameworks, bridging a gap in nuclear many-body modeling.

Findings

Visualization of matrix elements highlights force contributions.

Central and tensor force effects are analyzed.

Framework advances ab initio nuclear structure calculations.

Abstract

Many-body methods that use Gaussian-wave packets to describe nucleon-spatial distribution have been widely employed for depicting various phenomena in nuclear systems, in particular clustering. So far, however, the chiral effective field theory, a state-of-the-art theory of nuclear force, has not been applied to such methods. In this paper, we give the formalism to calculate the two-body matrix elements of the chiral two-nucleon forces using the Gaussian-wave packets. We also visualize the matrix elements and investigate the contributions of the central and tensor forces. This work is a foothold towards an \textit{ab initio} description of various cluster phenomena in view of nucleons, pions, and many-nucleon forces.