Towards a three dimensional solution for 3N bound states with 3NFs

TL;DR

This paper introduces a three-dimensional formalism for solving three-nucleon bound states with three-nucleon forces, demonstrating its efficiency over traditional partial wave methods through specific matrix element evaluations.

Contribution

It presents a non-partial wave approach for three-nucleon bound states including 3NF, simplifying calculations and improving efficiency.

Findings

The 3D formalism effectively incorporates 3NF in bound state calculations.

Evaluation of 3NF matrix elements demonstrates the method's efficiency.

The approach reduces computational complexity compared to partial wave methods.

Abstract

After a brief discussion about the necessity of using the 3D approach, we present the non PW formalism for 3N bound state with the inclusion of 3N force (3NF). As an example the evaluation of 3NF matrix elements, which appear in the obtained coupled three dimensional integral equations, for $2\pi$-exchange Tucson-Melbourne 3NF show how would be this formalism efficient and less cumbersome in comparison with the PW formalism.