Study of the Roy Equations. 2. Proof of the Existence of a Solution
Dec, 197725 pages
Published in:
- Nuovo Cim.A 45 (1978) 207
DOI:
Report number:
- Print-78-0215 (KAISERSLAUTERN)
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Abstract: (Springer)
The Roy equations express the real parts of the partialwave ππ amplitudes in terms of two scattering lengths and of singular integrals of the imaginary parts of these amplitudes. Combining these equations with unitarity, one obtains an infinite coupled system of nonlinear singular integral equations for the imaginary parts. Using the fixed-point theorem of Banach-Cacciopoli, one can prove that this system has a solution for a restricted range of the energy variable.- PI PI: SCATTERING AMPLITUDE
- SCATTERING AMPLITUDE: PI PI
- PARTIAL WAVE: SCATTERING AMPLITUDE
- SCATTERING AMPLITUDE: PARTIAL WAVE
- SCATTERING AMPLITUDE: ANALYTIC PROPERTIES
- PI PI: SCATTERING LENGTH
- FUNCTIONAL ANALYSIS
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