Triton with long-range chiral N3LO three-nucleon forces

Long-range contributions to the three-nucleon force that have recently been 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 of a few hundred kilo-electron volts 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.