Incoherent Pion Production in Antineutrino-Nucleus Scattering within a Fermi Smearing Approach

Abstract

In this paper, we compute the charged current (CC) cross section of the background processes ¯vμA → μ+(A − 1)N'π which are involved in the measurement of the oscillation probability P(¯vμ → ¯ve), for the CP-mirror processes of vμ → ve. We develop a model that takes into account: binding effects, nucleon smearing, and final state interactions (FSI) between nucleons-pions and the residual nucleus. It was also suitable in describing other channels as μA → μ−(A − 1)N'π, keeping covariance, gauge invariance and partially unitarity. Our calculations are compared with other dynamical models that have introduced the ∆(1232) resonance but inconsistently, and contrasted with experimental data obtained at CERN PS in Gargamell chamber.