Dominance Theorem in Crossing Matrices and Its Physical Implications in High Energy Diffraction Scattering Theory

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.