Description of nu and nu¯ 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 anuclear matter quantum hadrodynamics approach, that is fully relativistic. We simplify it as much aspossible, 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 distributioncalculated perturbatively, and also final state interactions using a perturbed nucleon propagatordressed by a relativistic self-energy containing nucleon-nucleon and ∆-nucleon correlations. Also,primary ∆ excitations are considered within a consistent approach. All these mentioned effectsare built on together, into the Lehmann representation of the propagator. Within our model wetake 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 themodel works quit well and thus putting to disposal a simple but powerful approach developed withinthe context of nuclear matter field theory.