Tensor-optimized antisymmetrized molecular dynamics in nuclear physics

TL;DR

This paper introduces a novel formalism combining antisymmetrized molecular dynamics with tensor optimization to accurately model nuclear many-body systems with realistic nucleon-nucleon interactions, including tensor and three-body forces.

Contribution

The authors develop a new tensor-optimized antisymmetrized molecular dynamics framework that systematically incorporates tensor and three-body interactions in nuclear many-body calculations.

Findings

Systematic formulation using Gaussian integration and differentiation.

Natural inclusion of three-body interactions.

Efficient calculation of Hamiltonian matrix elements.

Abstract

We develop a new formalism to treat nuclear many-body systems using bare nucleon-nucleon interaction. It has become evident that the tensor interaction plays important role in nuclear many-body systems due to the role of the pion in strongly interacting system. We take the antisymmetrized molecular dynamics (AMD) as a basic framework and add a tensor correlation operator acting on the AMD wave function using the concept of the tensor-optimized shell model (TOSM). We demonstrate a systematical and straightforward formulation utilizing the Gaussian integration and differentiation method and the antisymmetrization technique to calculate all the matrix elements of the many-body Hamiltonian. We can include the three-body interaction naturally and calculate the matrix elements systematically in the progressive order of the tensor correlation operator. We call the new formalism "tensor-optimized antisymmetrized molecular dynamics".