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Two-nucleon electromagnetic charge operator in chiral effective field theory ({chi}EFT) up to one loop

Journal Article · · Physical Review. C, Nuclear Physics
 [1];  [2];  [3];  [4]
  1. Physics Division, Argonne National Laboratory, Illinois 60439 (United States)
  2. Department of Physics, Universita del Salento, I-73100 Lecce (Italy)
  3. Department of Physics, Old Dominion University, Norfolk, Virginia 23529 (United States)
  4. INFN Sezione di Pisa, I-56127 Pisa (Italy)

The electromagnetic charge operator in a two-nucleon system is derived in chiral effective field theory ({chi}EFT) up to order e Q[or next-to-next-to-next-to-next-to-leading order (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 nonstatic 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 nonuniqueness associated with these off-the-energy-shell effects.

OSTI ID:
21596637
Journal Information:
Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 2 Vol. 84; ISSN 0556-2813; ISSN PRVCAN
Country of Publication:
United States
Language:
English