Dual Absorptive Model for Dips in Inelastic Hadron Processes

Abstract

We assume that the imaginary part of any inelastic hadronic amplitude is dominated by the peripheral ($l\ensuremath{\sim}\mathrm{qr}$) resonances, and that the same imaginary part can also be described by a combination of $t$-channel poles and cuts. The strength of the required cut term is determined by whether or not the pole term itself is already peripheral. The real part has no reason to be peripheral and can be determined easily from the peripheral imaginary part only when the cuts happen to be relatively weak. These assumptions lead to a successful qualitative description of all $|t|\ensuremath{\sim}0.6$-Be${\mathrm{V}}^{2}$ dip effects in vector- and tensor-exchange inelastic and elastic reactions.