The two-nucleon electromagnetic charge operator in chiral effective field theory ($\chi$EFT) up to one loop

Abstract

The electromagnetic charge operator in a two-nucleon system is derived in chiral effective field theory ($\chi$EFT) up to order $eQ$ (or N4LO), where $Q$ denotes the low-momentum scale and $e$ is the electric charge. The specific form of the N3LO and N4LO corrections from, respectively, one-pion-exchange and two-pion-exchange depends on the off-the-energy-shell prescriptions adopted for the non-static terms in the corresponding potentials. We show that different prescriptions lead to unitarily equivalent potentials and accompanying charge operators. Thus, provided a consistent set is adopted, predictions for physical observables will remain unaffected by the non-uniqueness associated with these off-the-energy-shell effects.

16 pages, 10 figures

References in corpus (7)

• Modern Theory of Nuclear Forces
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Electromagnetic two-body currents of one- and two-pion range
• Thermal neutron captures on $d$ and ${}^3$He
• Chiral effective theory predictions for deuteron form factor ratios at low Q^2
• Relativity constraints on the two-nucleon contact interaction

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