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Consequences of Crossed Channel Structure for High Energy Elastic Scattering
Author(s) -
Haan Oswald
Publication year - 1979
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19790270103
Subject(s) - unitarity , physics , channel (broadcasting) , elastic scattering , field theory (psychology) , scattering amplitude , s matrix , amplitude , scattering , field (mathematics) , matrix (chemical analysis) , energy (signal processing) , classical mechanics , mathematical physics , quantum electrodynamics , mathematics , quantum mechanics , computer science , pure mathematics , telecommunications , materials science , composite material
This review describes a field in the S ‐matrix theory of elastic stattering. Analyticity and elastic unitarity in the crossed t ‐channel are shown in a rigorous manner to yield constraints on s ‐channel quantities. Strong restrictions on s ‐channel partial wave with angular momenta l ⩾√s/2( b 0 + λ In s ) follow from realistic assumptions on the amplitude in the unphysical domain (Mandelstam analyticity and Regge behaviour). The possibility of phenomenological application of these results is discussed.