Dominance Theorem in Crossing Matrices and Its Physical Implications in High Energy Diffraction Scattering Theory
Open Access
- 1 May 1965
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 33 (5) , 864-876
- https://doi.org/10.1143/PTP.33.864
Abstract
The following theorem is proved in SU(2) and SU(3) groups, that is, the absolute magnitude of the non zero crossing matrix element between s-channel amplitude in the singlet state and t- or u-channel amplitude in a given arbitrary multiplet state is never smaller than the absolute magnitude of the crossing matrix element between s-channel amplitude in an arbitrary multiplet state and t- or u-channel amplitude in a given arbitrary multiplet state. Possible implications of this theorem in the high energy scattering are discussed.Keywords
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