Relativity constraints on the two-nucleon contact interaction

Details Relativity constraints on the two-nucleon contact interaction Relativity constraints on the two-nucleon contact interaction

2010-01-20

arxiv.org/abs/1001.3676v1

Phys.Rev.C81:034005,2010

Physics

Nuclear Physics

Nuclear Theory

17 pages, 1 eps figure

Scientific paper

10.1103/PhysRevC.81.034005

We construct the most general, relativistically invariant, contact Lagrangian at order Q^2 in the power counting, Q denoting the low momentum scale. A complete, but non-minimal, set of (contact) interaction terms is identified, which upon non-relativistic reduction generate 2 leading independent operator combinations of order Q^0 and 7 sub-leading ones of order Q^2 - a result derived previously in the heavy-baryon formulation of effective field theories (EFT's). We show that Poincare covariance of the theory requires that additional terms with fixed coefficients be included, in order 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.

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