Parametrization of Crossing Symmetric Amplitudes
- 1 February 1970
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (2), 482-486
- https://doi.org/10.1063/1.1665161
Abstract
The crossing equations of Balachandran and Nuyts are solved to give the most general expansion of the π0‐π0 amplitude consistent with crossing symmetry and in which the partial wave expansion is manifest. We find that crossing symmetry imposes 2L + 1 constraints on the Lth partial wave if the lower waves are known. The simplest such constraint (in the units were 4m π 2 =1 ) is ∫ 0 1 (1−s)(3s−1)f 0 (s) ds=0 ,where f 0(s) is the s‐wave π0‐π0 amplitude.Keywords
This publication has 3 references indexed in Scilit:
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- Construction of a crossing-simmetric, Regge-behaved amplitude for linearly rising trajectoriesIl Nuovo Cimento A (1971-1996), 1968
- Simultaneous "Partial-Wave" Expansion in the Mandelstam Variables: Crossing Symmetry for Partial WavesPhysical Review B, 1968