Bound States and Power Counting in Effective Field Theories
High Energy Physics - Phenomenology
2016-09-06 v1 Nuclear Theory
Abstract
The problem of bound states in effective field theories is studied. A rescaled version of nonrelativistic effective field theory is formulated which makes the velocity power counting of operators manifest. Results obtained using the rescaled theory are compared with known results from NRQCD. The same ideas are then applied to study Yukawa bound states in 1+1 and 3+1 dimensions, and to analyze when the Yukawa potential can be replaced by a delta-function potential. The implications of these results for the study of nucleon-nucleon scattering in chiral perturbation theory is discussed.
Cite
@article{arxiv.hep-ph/9610534,
title = {Bound States and Power Counting in Effective Field Theories},
author = {Michael Luke and Aneesh V. Manohar},
journal= {arXiv preprint arXiv:hep-ph/9610534},
year = {2016}
}
Comments
23 pages, eps figures, uses revtex