Relativity constraints on the two-nucleon contact interaction
- Department of Physics, University of Pisa, I-56127 Pisa (Italy)
- Italy
- Department of Physics, Old Dominion University, Norfolk, Virginia 23529 (United States)
- INFN-Pisa, I-56127 Pisa (Italy)
We construct the most general, relativistically invariant, contact Lagrangian at order Q{sup 2} in the power counting, with Q denoting the low momentum scale. A complete, but nonminimal, set of (contact) interaction terms is identified, which upon nonrelativistic reduction generate two leading independent operator combinations of order Q{sup 0} and seven subleading ones of order Q{sup 2}--a result derived previously in the heavy-baryon formulation of effective field theories (EFTs). We show that Poincare covariance of the theory requires that additional terms with fixed coefficients be included, to describe the two-nucleon potential in reference frames other than the center-of-mass frame. These terms will contribute in systems with mass number A>2, and their impact on EFT calculations of binding energies and scattering observables in these systems should be studied.
- OSTI ID:
- 21386665
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 81, Issue 3; Other Information: DOI: 10.1103/PhysRevC.81.034005; (c) 2010 The American Physical Society; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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