Renormalization group approach to two-body scattering in the presence of long-range forces

2002/06/17 by Thomas Barford, Michael C. Birse · 5 citations
Physics and Astronomy · #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1103/physrevc.67.064006

published as Phys.Rev. C67 (2003) 064006 · 22 pages (RevTeX), 4 figures

arxiv created 2002/06/17 · openalex publication_date 2003/06/24 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We apply renormalization-group methods to two-body scattering by combination of known long-range and unknown short-range potentials. We impose a cutoff in the basis of distorted waves of the long-range potential and identify possible fixed points of the short-range potential as this cutoff is lowered to zero. The expansions around these fixed points define the power countings for the corresponding effective field theories. Expansions around nontrivial fixed points are shown to correspond to distorted-wave versions of the effective-range expansion. These methods applied to scattering the presence of Coulomb, Yukawa, and repulsive inverse-square potentials.

Citations

• The renormalization group and the ε expansion
• Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism
• Low energy theorems for nucleon-nucleon scattering
• Chiral Dynamics in Nucleons and Nuclei
• Phenomenological Lagrangians

Cited by

• EFFECTIVE FIELD THEORY APPROACH TO THE NUCLEON–NUCLEON INTERACTION REVISITED
• Effectiveness of effective field theory in peripheral nucleon-nucleon scattering
• Renormalization ofNNscattering with one pion exchange and energy dependent boundary conditions
• An effective-field-theory analysis of low-energy parity-violation in nucleon–nucleon scattering
• Perturbative renormalizability of chiral two-pion exchange in nucleon-nucleon scattering