Froissart bound and self-similarity based models of proton structure functions

Abstract

Froissart bound implies that the total proton–proton cross-section (or equivalently proton structure function) cannot rise faster than [Formula: see text]. Compatibility of such behavior with the notion of self-similarity in proton structure function was suggested by us sometime back. In the present work, we generalize and improve it further by considering more recent self-similarity based models of proton structure functions and compare with recent data as well as with the model of Block, Durand, Ha and McKay.