Michael Luke, Aneesh V. Manohar
Published 1996-10-29Version 1
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.
Comments: 23 pages, eps figures, uses revtex
Journal: Phys.Rev. D55 (1997) 4129-4140
Screening Mass from Chiral Perturbation Theory, Virial Expansion, and the Lattice
Chiral perturbation theory for pentaquark baryons and its applications
$τ^-\to K^-η^{(\prime)}ν_τ$ decays in Chiral Perturbation Theory with Resonances
