Partial-wave decomposition of isospin-projected subleading three-nucleon contact interactions

TL;DR

This paper performs a detailed partial-wave analysis of subleading three-nucleon contact interactions at N4LO in chiral effective field theory, focusing on isospin projection and implications for few-body calculations.

Contribution

It provides a comprehensive isospin and partial-wave decomposition of N4LO three-nucleon contact interactions, identifying contributing operators and basis for future data fitting.

Findings

Only eleven of thirteen operators contribute in the T=1/2 channel.

Ten combinations of LECs contribute to N-d scattering states.

Results facilitate inclusion of N4LO three-body forces in few-body calculations.

Abstract

We analyze the subleading three-nucleon contact interaction terms at N4LO in chiral effective field theory. We perform the isospin projection into $T=1/2$ and $T=3/2$ states, and find that only eleven of the thirteen operators contribute in the $T=1/2$ channel. By projection on the partial waves of the asymptotic configuration of $N-d$ scattering states in momentum space, we find contributions from ten combinations of LECs. These results provide a useful basis for including N4LO three-body forces in few-body calculations and for constraining them through numerical fits to data.