Rational Form of Amplitude and Its Asymptotic Factorization

Rational Form of Amplitude and Its Asymptotic Factorization

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 wel...

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Veröffentlicht in:Symmetry (Basel) 2022-07, Vol.14 (7), p.1292
Hauptverfasser: Troshin, Sergey Mikhailovich, Tyurin, Nikolai Evgenjevich
Format: Artikel
Sprache:eng
Schlagworte:
Amplitudes
Asymptotic properties
diffraction peak
elastic scattering
Energy
Factorization
unitarity
Values
virtual particles
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Zusammenfassung: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. A central role belongs to the asymptotic amplitude factorization resulting from Mandelstam analyticity and its symmetry over the scattering variables.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14071292