Phenomenology of single-pion production in νN scattering in the region of single-meson exchange

A study is made of production of single charged pions in the reaction ν/sub μ/N→μ-Nπ in the kinematic region corresponding to scattering of the neutrino by virtual mesons. The total and differential cross sections for this process are calculated numerically for the energies of the neutrino beam at Serpukhov. It is shown that the principal mechanism of production of single charged pions in the model of single-meson exchange is scattering of the neutrino by virtual f and rho mesons. The contribution of virtual pions is two to three orders of magnitude smaller. Study of the reactions ν/sub μ/N→μ-Nπ in the region of single-meson exchange makes it possible to obtain valuable information about the weak fπ and rhoπ transitions. The total cross section for the reaction νN→νNπ0 is an order of magnitude smaller than for production of single pions in the charged current