The two-nucleon electromagnetic charge operator in chiral effective field theory ($$\chi$$EFT) up to one loop
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.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC05-06OR23177
- OSTI ID:
- 1023443
- Report Number(s):
- JLAB-THY-11-1383; DOE/OR/23177-1660; arXiv:1106.4539; PRVCAN; TRN: US1104546
- Journal Information:
- Phys. Rev. C, Vol. 84, Issue 02; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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