# Tensor-optimized antisymmetrized molecular dynamics as a successive variational method in nuclear many-body system

## TL;DR

This paper introduces TOAMD, a variational method that systematically improves nuclear wave functions by successively adding correlation functions, demonstrating rapid convergence for s-shell nuclei with realistic interactions.

## Contribution

The paper develops and applies TOAMD, a new successive variational approach that efficiently incorporates tensor and short-range correlations in nuclear many-body systems.

## Key findings

- Rapid convergence of energies and Hamiltonian components for 3H and 4He.
- Analytical calculation of matrix elements using Gaussian integrals.
- Effective expansion of wave functions with multiple correlation functions.

## Abstract

We study the tensor-optimized antisymmetrized molecular dynamics (TOAMD) as a successive variational method in many-body systems with strong interaction for nuclei. In TOAMD, the correlation functions for the tensor force and the short-range repulsion and their multiples are operated to the AMD state as the variational wave function. The total wave function is expressed as the sum of all the components and the variational space can be increased successively with the multiple correlation functions to achieve convergence. All the necessary matrix elements of many-body operators, consisting of the multiple correlation functions and the Hamiltonian, are expressed analytically using the Gaussian integral formula. In this paper we show the results of TOAMD with up to the double products of the correlation functions for the s-shell nuclei, 3H and 4He, using the nucleon-nucleon interaction AV8'. It is found that the energies and Hamiltonian components of two nuclei converge rapidly with respect to the multiple of correlation functions. This result indicates the efficiency of TOAMD for the power series expansion in terms of the tensor and short-range correlation functions.