Bound States and Power Counting in Effective Field Theories

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.

23 pages, eps figures, uses revtex

References in corpus (3)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Improved Nonrelativistic QCD for Heavy Quark Physics
• Nucleon-Nucleon Scattering from Effective Field Theory

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