Relativistic models for quasielastic electron and neutrino-nucleus scattering

Carlotta Giusti,Andrea Meucci,S. Ershov,T. Shneydman,A. Vdovin,A. Zubov

doi:10.1051/epjconf/20123814004

Carlotta Giusti, Andrea Meucci + Show 4 more

Open Access

https://doi.org/10.1051/epjconf/20123814004

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Abstract

Relativistic models developed within the framework of the impulse approximation for quasielastic (QE) electron scattering and successfully tested in comparison with electron-scattering data have been extended to neutrino-nucleus scattering. Different descriptions of final-state interactions (FSI) in the inclusive scattering are compared. In the relativistic Green’s function (RGF) model FSI are described consistently with the exclusive scattering using a complex optical potential. In the relativistic mean field (RMF) model FSI are described by the same RMF potential which gives the bound states. The results of the models are compared for electron and neutrino scattering and, for neutrino scattering, with the recently measured charged-current QE (CCQE) MiniBooNE cross sections.

Highlights

The analysis of the recent neutrino-nucleus scattering cross sections measured by the MiniBooNE Collaboration [1, 2] requires reliable theoretical models where all nuclear effects are well under control
In the Green’s function (GF) model [12,13,14,15,16,17,18] final-state interactions (FSI) are described in the inclusive scattering by the same complex optical potential as in the exclusive scattering, but the imaginary part is used in the two cases in a different way and in the inclusive process it redistributes the flux in all the channels and the total flux is conserved
The differences between the relativistic Green’s function (RGF) and relativistic mean field (RMF) results can be ascribed to the inelastic contributions which are incorporated in the RGF but not in the RMF, such as, for instance, re-scattering processes of the nucleon in its way out of the nucleus, non-nucleonic ∆ excitations, which may arise during nucleon propagation, as well as to some multinucleon processes

Summary

Introduction

The analysis of the recent neutrino-nucleus scattering cross sections measured by the MiniBooNE Collaboration [1, 2] requires reliable theoretical models where all nuclear effects are well under control. In CC scattering the inclusive scattering where only the final lepton is detected can be treated with the same models used for the inclusive (e, e′) reaction For all these processes the cross section is obtained in the one-boson exchange approximation from the contraction between the lepton tensor, which, under the assumption of the plane-wave approximation for the initial and the final lepton wave functions, depends only on the lepton kinematics, and the hadron tensor, whose components are given by bilinear products of the matrix elements of the nuclear current between the initial and final nuclear states. In RDWIA, calculations are performed with a relativistic nuclear-current operator and four-vector relativistic wave functions for the s.p. bound and scattering states Both the DWIA and the RDWIA have been quite successful in describing (e, e′ p) data in a wide range of nuclei and in different kinematics [4,6,7,8]

Inclusive lepton-nucleus scattering

Comparison with CCQE MiniBooNE data

Findings

Summary and conclusions