Pion Production Cross Sections by Neutrinos and Antineutrinos

Abstract

Pion production cross sections by neutrinos and antineutrinos are calculated in the lowest order perturbation theory for neutrino energies of 0.5, 1, 3, 5, and 10 Bev in the laboratory system. It is shown that the inelastic cross section + p and up to st r p + e/sup -/ + e (as Fe/sup 59 /sup +/ is much smaller than the elastic cross section at 1 Bev, while the former is about 10 times larger than the latter at 10 Bev. It is also found that the contribution of the Gell-Mann current is appreciable. The interference term between the nucleon current and the Gell-Mann current turns out to be large enough to compete with the direct terms. The antineutrino cross sections are smaller than those of neutrino approximately by a factor of two and the main difference between them comes from the interference term. (auth)