Local three-nucleon interaction from chiral effective field theory

TL;DR

This paper derives a local three-nucleon interaction from chiral effective field theory at N2LO, enabling improved many-body calculations by evaluating matrix elements in a three-nucleon basis and applying them to bound-state problems.

Contribution

It introduces a local form of the chiral NNN interaction at N2LO and demonstrates its application in ab initio no-core shell model calculations.

Findings

Successful evaluation of matrix elements in a three-nucleon basis.

Application to 3H and 4He bound-state calculations.

Demonstrates the practicality of local chiral NNN interactions.

Abstract

The three-nucleon (NNN) interaction derived within the chiral effective field theory at the next-to-next-to-leading order (N2LO) is regulated with a function depending on the magnitude of the momentum transfer. The regulated NNN interaction is then local in the coordinate space, which is advantages for some many-body techniques. Matrix elements of the local chiral NNN interaction are evaluated in a three-nucleon basis. Using the ab initio no-core shell model (NCSM) the NNN matrix elements are employed in 3H and 4He bound-state calculations.