Rational form of amplitude and its asymptotic factorization
arXiv:2206.02360 · doi:10.3390/sym14071292
Abstract
We provide arguments for the use of the rational form of unitarization, its relation with the diffraction peak shrinkage and asymptotics of the inelastic cross--section. The particular problems of the Regge model and the exponential form of unitarization with a factorized eikonal are discussed as well. Central role belongs to the asymptotic amplitude factorization resulting from Mandelstam analyticity and its symmetry over the scattering variables.
arXiv comment10 pages, no figures, revised version accepted by Symmetry
References in corpus (13)
- The Froissart bound for inelastic cross-sections
- An upper bound on the total inelastic cross-section as a function of the total cross-section
- Measurement of the Q2 and energy dependence of diffractive interactions at HERA
- Evidence for no shrinkage in elastic photoproduction of J/Psi
- Reflecting disk with black edge
- Comment on energy dependence of the slope parameter
- Impact-parameter analysis of the new TOTEM pp data at 13 TeV: black disk limit excess
- Central elastic scattering
- Does diffraction cone shrinkage with energy originate from unitarity?
- Direct-channel option of the forward slope increase
- Would unitarity slow down the rise of at ?
- Cosmic rays and antishadowing
- Novel features in exclusive vector--meson production