The Manifold of Solutions of Roy's S-Wave and P Wave Equations for Pion Pion Scattering: The Neighborhood of the Physical Amplitudes
Sep, 197721 pages
Published in:
- Nucl.Phys.B 137 (1978) 521-541
- Published: 1978
Report number:
- Print-77-0881 (LAUSANNE)
Citations per year
Abstract: (Elsevier)
We study the solutions of the coupled S- and P-wave Roy equations for low-energy pion-pion scattering which are in the neighbourhood of a given solution. We give a general method for constructing these solutions for fixed inelasticities and driving terms and variable S-wave scattering lengths. In the case of the neighbourhood of the physical amplitudes, our procedure leads to a seven-dimensional manifold of solutions. If we omit variations affecting only the I = 0 S-wave around the K K threshold, the number of dimensions is reduced to five, in accordance with the results of the phenomenological analysis of low-energy pion-pion scattering. Our solutions allow a study of the correlations between S- and P-waves implied by the Roy equations. This work completes a previous one dealing with the single-channel problem of the I = 1 P-wave.- PI PI: INTERACTION
- INTERACTION: PI PI
- PARTIAL WAVE: SCATTERING LENGTH
- PARTIAL WAVE: CORRELATION
- PARTIAL WAVE: SCATTERING AMPLITUDE
- SCATTERING AMPLITUDE: PARTIAL WAVE
- K ANTI-K: THRESHOLD
- MATHEMATICS: ROY EQUATIONS
- NUMERICAL CALCULATIONS
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