Description of ν and ν scattering within quantum hadrodynamic theory

Abstract

In this paper we develop a model to describe ν and ¯ν scattering in the GeV region by nuclei within a nuclear matter quantum hadrodynamics approach that is fully relativistic. We simplify it as much as possible, keeping the most relevant effects and trying to describe the greatest number of observables. We introduce explicitly the effect of ground-state correlations through a momentum distribution calculated perturbatively, and also finalstate interactions using a perturbed nucleon propagator dressed by a relativistic self-energy containing nucleonnucleon and -nucleon correlations. Also, primary excitations are considered within a consistent approach. All these mentioned effects are built on together, into the Lehmann representation of the propagator. Within our model we take into account the effect of 2p2h and 3p3h excitations in addition to the quasielastic 1p1h ones, needed to describe the experimental data. The obtained results are promising, showing that the model works quit well and thus putting to disposal a simple but powerful approach developed within the context of nuclear matter field theory.