Single pion production in CC neutrino N scattering within a consistent effective Born approximation

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

PHYSICS LETTERS B

Elsevier

Año: 2008 p. 70 - 77

0370-2693

The one pion production in charged current neutrino N scattering is analyzed within an extended versionf a model used previously to include the Delta(1232) contribution in elastic and radiative pion¨Cnucleon scattering, and in pion photoproduction. Because the resonant amplitude needs to be invariant under contact transformations, we identify the correct forms of the ¦¤ propagator and the WNDelta  vertex that are consistent with this requirement. The only free parameter of the model, the axial form factor at zero momentum transfer, is fixed from data on the differential cross section for neutrino p--> mu on p pion(+)  scattering. A reasonable agreement with the experimental data of all the neutrino p--> mu on p pion total cross sections isobtained. We show that the use of the complete ¦¤ propagator instead of the Rarita¨CSchwinger one improves the theoretical results, leading to differences ranging from 10 to 30%, depending on the specific process.