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

The chiral low-energy constants cD and cE are constrained by means of accurate ab initio calculations of the A=3 binding energies and, for the first time, of the triton β 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 cD 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 cD and cE, are successful in predicting properties of the A=3 and 4 systems.