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Extended Unitarity in Hadronic Multichannel Scattering with Coulomb Interactions Present
Author(s) -
Rasche G.,
Woolcock W. S.
Publication year - 1977
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.19770250114
Subject(s) - unitarity , physics , coulomb , s matrix , hadron , scattering , extension (predicate logic) , scattering amplitude , matrix (chemical analysis) , amplitude , quantum electrodynamics , mathematical physics , particle physics , quantum mechanics , materials science , computer science , composite material , programming language , electron
The matrix J of scattering amplitudes for a partial wave is considered for a set of n coupled hadronic two‐body channels with thresholds s 1 , …, s n satisfying s 1 < s 2 < … < s n , s being the usual Mandelstam variable. The analyticity properties which follow from the Mandelstam hypothesis are assumed and it is shown rigorously that extended unitarity is equivalent to the absence from the K ‐matrix of the cut from s 1 to the threshold for the first competing channel with more than two particles. The extension of this result to the case where an attractive Coulomb interaction is present in some channels is discussed fully.