Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-06-17
Phys.Rev. C67 (2003) 064006
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages (RevTeX), 4 figures
Scientific paper
10.1103/PhysRevC.67.064006
We apply renormalisation-group methods to two-body scattering by a combination of known long-range and unknown short-range potentials. We impose a cut-off in the basis of distorted waves of the long-range potential and identify possible fixed points of the short-range potential as this cut-off 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 are applied to scattering in the presence of Coulomb, Yukawa and repulsive inverse-square potentials.
Barford Thomas
Birse Michael C.
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