Consistency of the effective-field-theory approach to the nucleon-nucleon interaction problem revisited

Abstract

It is argued that Weinberg's approach to the nucleon-nucleon (NN) interaction problem within effective field theory provides a consistent power counting for renormalized diagrams. Within this scheme the NN potential is organized as an expansion in terms of small quantities like small external momenta and the pion mass (divided by the characteristic large scale of the effective theory). Physical observables to any given order in these small quantities are calculated from the solutions of the Lippmann-Schwinger (or Schr\" odinger) equation.

arXiv comment10 pages, REVTeX 4

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Cited by in corpus (23)

• Modern Theory of Nuclear Forces
• Nuclear effective field theory: status and perspectives
• Signatures of three-nucleon interactions in few-nucleon systems
• Regularization, renormalization and "peratization" in effective field theory for two nucleons
• Weinberg's approach to nucleon-nucleon scattering revisited
• On the renormalization of the one-pion exchange potential and the consistency of Weinberg's power counting
• How (not) to renormalize integral equations with singular potentials in effective field theory
• Wilsonian renormalization group versus subtractive renormalization in effective field theories for nucleon--nucleon scattering
• The Theory of Parity Violation in Few-Nucleon Systems
• How to renormalize integral equations with singular potentials in effective field theory
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