3N potentials in the Faddeev coordinate space approach to Nd scattering

TL;DR

This paper develops coordinate space formulas for the Tucson-Melbourne three-nucleon potential within the Faddeev framework to improve the study of neutron-deuteron scattering.

Contribution

It provides explicit coordinate space expressions for the TM three-nucleon potential, facilitating its application in Faddeev calculations for Nd scattering.

Findings

Derived final formulas for TM 3N potential components in coordinate space

Enables more accurate Faddeev calculations of Nd scattering

Lays groundwork for future numerical studies using the TM force

Abstract

In the last decade, for studying 3$N$ bound states and $Nd$ scattering the Tucson-Melbourne (TM) and Urbana 3$N$ force derived from the chiral EFT have been applied. We plan to use the TM 3$N$ force for studying the $Nd$ scattering on the basis of the Faddeev equations in configuration space. In the given paper, we present our final formulas for components of the TM 3$N$ potential obtained in the coordinate space.