Sommerfeld--Watson representation for double-spectral function. II. Crossing symmetric pion--pion scattering amplitude without Regge poles
Journal Article
·
· Commun. Math. Phys., v. 43, no. 1, pp. 1-16
OSTI ID:4162249
We discuss, for the case of pion-pion scattering, a closed system of equations which may be used for self-consistent calculation of partial-wave amplitudes. It is shown that, for a given sufficiently small input function, the equations have a locally unique solution in a particular Banach space of doubly Hoelder continuous partial wave amplitudes. At a fixed point, the scattering amplitude is shown to satisfy both a crossing symmetric unsubtracted Mandelstam representation and the elastic unitarity condition. In this initial study the partial-wave amplitudes are holomorphic in the right half complex angular- momentum plane. (orig.)
- Research Organization:
- Australian National Univ., Canberra. Research School of Physical Sciences
- NSA Number:
- NSA-33-010504
- OSTI ID:
- 4162249
- Journal Information:
- Commun. Math. Phys., v. 43, no. 1, pp. 1-16, Journal Name: Commun. Math. Phys., v. 43, no. 1, pp. 1-16; ISSN CMPHA
- Country of Publication:
- Germany
- Language:
- English
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