Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory

Abstract

The chiral low-energy constants c(D) and c(E) are constrained by means of accurate ab initio calculations of the A = 3 binding energies and, for the first time, of the triton beta decay. We demonstrate that these low-energy observables allow a robust determination of the two undetermined constants, a result of the surprising fact that the determination of c(D) depends weakly on the short-range correlations in the wave functions. These two- plus three-nucleon interactions, originating in chiral effective field theory and constrained by properties of the A = 2 system and the present determination of c(D) and c(E), are successful in predicting properties of the A = 3 and 4 systems.