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Relativity constraints on the two-nucleon contact interaction

Authors :
Rocco Schiavilla
Saori Pastore
Luca Girlanda
Michele Viviani
Girlanda, Luca
S., Pastore
R., Schiavilla
M., Viviani
Source :
Physical Review C. 81
Publication Year :
2010
Publisher :
American Physical Society (APS), 2010.

Abstract

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.<br />17 pages, 1 eps figure

Details

ISSN :
1089490X and 05562813
Volume :
81
Database :
OpenAIRE
Journal :
Physical Review C
Accession number :
edsair.doi.dedup.....462189b995b6489b19de0b3b51810130
Full Text :
https://doi.org/10.1103/physrevc.81.034005