Regularization of the Roy Equations with a Smooth Cutoff
Feb, 197717 pages
Published in:
- J.Math.Phys. 18 (1977) 2407
DOI:
Report number:
- Print-77-0259 (GRONINGEN)
Citations per year
Abstract: (AIP)
The Roy equations for ππ scattering are combined with unitarity to give a nonlinear system of equations for the determination of the low‐energy amplitudes. A Hölder continuous interpolation between the input high‐energy absorptive parts and the output low‐energy absorptive parts is implemented; and the resultant singular equations are regularized by means of an effective inelastic N/D method. If the scattering lengths, the CDD parameters, and the high‐energy absorptive parts satisfy certain constraints, then there exists a locally unique solution of the system.- PI PI: INTERACTION
- INTERACTION: PI PI
- PARTIAL WAVE: DISPERSION RELATION
- PARTIAL WAVE: ROY EQUATIONS
- UNITARITY
- PI PI: SCATTERING LENGTH
- CORRECTION: ABSORPTION
- ABSORPTION: CORRECTION
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