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

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

2011-06-22

arxiv.org/abs/1106.4539v1

Phys.Rev.C84:024001,2011

Physics

Nuclear Physics

Nuclear Theory

16 pages, 10 figures

Scientific paper

10.1103/PhysRevC.84.024001

The electromagnetic charge operator in a two-nucleon system is derived in chiral effective field theory ($\chi$EFT) up to order $e\, Q$ (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.

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