Inelastic Structure-Function Relations from Sums of Direct-Channel Resonances

Abstract

Relations among the cross sections for both spin-dependent and spin-independent scattering of electrons and neutrinos on protons and neutrons are derived by summing over directchannel nucleon resonances in the symmetric quark model. The relations previously derived in the three-quark-parton model are shown to correspond in the resonance approach to a sum over a particular combination of resonances belonging to the 56- and 70-dimensional representations of SU(6), which ensures the absence of exotic exchanges in the $t$ channel of the current-nucleon elastic scattering amplitude.