Deep inelastic lepton-nucleon interactions and the structure of the nucleon: structure functions, multiplicities and nu , nu total cross sections

Structure functions for nu N and nu N interactions were obtained from the three-quark-boson nucleon model constructed before from the study of deep inelastic eN scattering (see abstr. A54632 of 1971). The results obtained give quantitative relations between eN and nu N, nu N interactions, and explicit expressions for the differential and integral cross sections. With the energy dependence of pion multiplicity for nu N interactions deduced from the experimental data, the calculated total nu N cross sections with no free parameters reproduced both the CERN 1967 propane and the recent Gargamelle results. For nu N interactions, the calculated total cross sections agree also with the Gargamelle data, and a lower pion multiplicity (i.e., about one-half the nu N multiplicity) is predicted. Excluding the effects of intermediate bosons, all have the same 'asymptotic' cross section although the approach to this limit is extremely slow except for sigma /sup nu p/. (27 refs).