Abstract
A method of unitarizing the Veneziano model for ππ scattering, employing exact conditions on partial wave amplitudes which allow a minimization of the violation of crossing symmetry is discussed. The structure of the left hand cut (0≧s≧ − 32m 2π ) is obtained via crossing symmetry, whereas the far left hand cut is parametrized in terms of several poles, the residues of which serve as free parameters in this model. The existence of unitary and almost crossing symmetric solutions with a resonantI=0S-wave is demonstrated. The restrictions on these solutions are, however, not sufficient to single out a unique set.
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Supported in part by “Fonds zur Förderung der Wissenschaftlichen Forschung in Österreich”.
Supported by Bundesministerium für Wissenschaftliche Forschung, Bad Godesberg.
The authors thank Prof. H. Pietschmarm, E. Schmid and P. Urban for their continued support of this work. The numerical calculations have been performed at the Rechenzentrum Graz.
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Baier, R., Kühnelt, H. & Widder, F. Unitarity and crossing symmetry in low-energy π-π scattering. Z. Physik 242, 157–166 (1971). https://doi.org/10.1007/BF01394826
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DOI: https://doi.org/10.1007/BF01394826