A renormalisation-group treatment of two-body scattering

Abstract

Nonrelativistic two-body scattering by a short-ranged potential is studied using the renormalisation group. Two fixed points are identified: a trivial one and one describing systems with a bound state at zero energy. The eigenvalues of the linearised renormalisation group are used to assign a systematic power-counting to terms in the potential near each of these fixed points. The expansion around the nontrivial fixed point is shown to be equivalent to the effective-range expansion.

6 pages (RevTeX), 1 figure (epsf); picture of RG flow and more discussion of momentum dependence added

References in corpus (6)

• Effective Field Theory for Short-Range Forces
• The Three-Boson System with Short-Range Interactions
• A Perturbative Calculation of the Electromagnetic Form Factors of the Deuteron
• The potential of effective field theory in NN scattering
• Renormalization in Nonrelativistic Quantum Mechanics
• Chiral Perturbation Theory in Few-Nucleon Systems

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