One pion production in neutrino-nucleon scattering and the different parameterizations of the weak N-->Delta vertex

A. MARIANO, C. BARBERO; G. LOPEZ CASTRO

PHYSICS LETTERS B

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2014 vol. B p. 282 - 287

0370-2693

The N --->Delta weak vertex provides an important contribution to the one pion production in neutrino-nucleon and neutrino-nucleus scattering for pi N invariant masses below 1.4 GeV. Beyond its interest as a tool in neutrino detection and their background analyses, one pion production in neutrino-nucleon scattering is useful to test predictions based on the quark model and other internal symmetries of strong interactions. Here we try to establish a connection between two commonly used parametrizations of the weak N--->Delta vertex and form factors (FF) and we study their effects on the determination of the axial coupling C_5^A(0), the common normalization of the axial FF, which is predicted to hold 1.2 by using the PCAC hypothesis. Predictions for the nu_mu p ---> mu^- ppi^+ total cross sections within the two approaches, which include the resonant Delta^++ and other background contributions in a coherent way, are compared to experimental data.