Abstract
The fixed-angle limit of the Mandelstam dual model is proved to behave asdσ/dt≃f(θ)s −n. The powern is a function of the masses of external particles and the slope and intercepts of Regge trajectories coupled to direct and crossed channels. The predicted energy dependence is consistent with experimental data at 90° for fifteen two-body reactions with meson trajectories exchanged in thet-channel. However the angular dependencef(θ) predicted by the Mandelstam model is not in agreement with the experimental dependence. We thus propose generalized Mandelstam amplitudes, giving a very good description of differential cross-sections forpp andpp elastic scattering at high energies and large momentum transfers, and with good theoretical properties: crossing, Regge behaviour, duality and polynomial residues. Differential cross-sections forpp scattering at all angles, the ratio (dσ/dt)pp/(dσ/dt)pp and effective trajectories and residues (in the limitt→−∞) have been successfully compared with experimental data.
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Quirós, M. Are dual models able to describe large-angle scattering?. Z. Phys. C - Particles and Fields 11, 179–187 (1981). https://doi.org/10.1007/BF01574003
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DOI: https://doi.org/10.1007/BF01574003