Self-Consistent Calculation of Chiral Effective Operator Observables in Two-Nucleon Systems

We investigate the effects on two-nucleon system observables when including corrections arising from Chiral Effective Field Theory to operators treated at a chiral order consistent with the chiral interaction being modeled. We provide corrections to the root-mean-square charge radius, magnetic dipole moment, and Gamow-Teller transition operator at varying chiral order when using regulated chiral potentials solved with a finite matrix method in the relative Harmonic Oscillator (HO) basis. We compare groundstate observables with and without the consistent chiral operator corrections, and analyze the impact due to ultraviolet and Infrared regulation within the HO basis. We discuss the implications of these results when employing a similar treatment in ab initio No-Core Shell Model calculation for properties of light nuclei.