The triton with long-range chiral N3LO three nucleon forces

TL;DR

This paper incorporates long-range chiral N3LO three-nucleon forces into triton and nucleon-deuteron scattering calculations, demonstrating their impact and the feasibility of implementing complex forces in three-body computations.

Contribution

It introduces the first inclusion of long-range chiral N3LO three-nucleon forces in three-nucleon calculations and explores their effects and structure.

Findings

Long-range chiral N3LO forces significantly affect triton properties.

The complex operator structure can be successfully implemented in Faddeev calculations.

Contributions to the three-nucleon force range from a few hundred keV to 1 MeV.

Abstract

Long-range contributions to the three-nucleon force that have been recently worked out in chiral effective field theory at next-to-next-to-next-to-leading order are for the first time included in the triton and the doublet nucleon-deuteron scattering length calculations. The strengths of the two short-range terms available at this order in the chiral expansion are determined from the triton binding energy and the neutron-deuteron doublet scattering length. The structure of the resulting three-nucleon force is explored and effects for the two-nucleon correlation function in the triton are investigated. Expectation values of the individual contributions to the three-nucleon force in the triton are found to be in the range from a few 100 keV to about 1 MeV. Our study demonstrates that the very complicated operator structure of the novel chiral three-nucleon forces can be successively implemented in three-nucleon Faddeev calculations.