Bound states and power counting in effective field theories

Journal Article · Tue Apr 01 00:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.4129· OSTI ID:477076

Luke, M ^[1]; Manohar, A V ^[2]

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1. Department of Physics, University of Toronto, 60 St. George St., Toronto, Ontario, M5S1A7 (CANADA)
2. Department of Physics, University of California at San Diego, 9500 Gilman Drive, La Jolla, California 92093-0319 (United States)

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 are discussed. {copyright} {ital 1997} {ital The American Physical Society}

• Research Organization: Univ. of California (United States)
• DOE Contract Number: FG03-90ER40546
• OSTI ID: 477076
• Journal Information: Physical Review, D, Vol. 55, Issue 7; Other Information: PBD: Apr 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FIELD THEORIES
BOUND STATE
QUANTUM CHROMODYNAMICS
YUKAWA POTENTIAL
NUCLEON-NUCLEON INTERACTIONS
PERTURBATION THEORY
CHIRAL SYMMETRY
MOMENTUM TRANSFER
SCALING LAWS