The Tucson-Melbourne Three-Nucleon Force in the automatized Partial Wave Decomposition

TL;DR

This paper applies a new automated partial wave decomposition method to the Tucson-Melbourne three-nucleon force, demonstrating its accuracy and efficiency through numerical tests and nuclear property calculations.

Contribution

It introduces a novel automated approach for partial wave decomposition of three-nucleon forces, improving computational efficiency and reliability.

Findings

The new method produces matrix elements consistent with standard approaches.

Numerical tests confirm the method's accuracy and efficiency.

Application to triton binding energy demonstrates practical utility.

Abstract

A recently developed procedure for a partial wave decomposition of a three-nucleon force is applied to the pi-pi, pi-rho and rho-rho components of the Tucson-Melbourne three-nucleon potential. The resulting matrix elements for the pi-pi and pi-rho components are compared with the values obtained using the standard approach to the partial wave decomposition, in which the pi-rho expressions for the matrix elements are also derived and presented. Several numerical tests and results for the triton binding energy and the correlation function prove the reliability and efficiency of the new method.