# 6th International Workshop on Neutrino-Nucleus Interactions in the Few-GeV Region (NUINT 09)

May 18 – 22, 2009
Sitges (Barcelona) Spain

## A study of nuclear effects in $F_2$ and $F_3$ structure functions in the deep inelastic $\nu(\bar\nu)$ reactions in nuclei

May 19, 2009, 6:30 PM
2h
Sitges (Barcelona) Spain

#### Sitges (Barcelona) Spain

Palau Maricel Sitges (Barcelona) Spain
Poster Poster session

### Speaker

Dr Mohammad Athar (Aligarh Muslim University)

### Description

We shall present the results for the nuclear effects in $F^A_2(x)$ and $F^A_3(x)$ structure functions in the deep inelastic neutrino(anti-neutrino) induced charged lepton production on some nuclear targets which are being used in the present neutrino oscillation experiments. These theoretical calculations have been done by using a spectral function to describe the momentum distribution of nucleons in the nucleus. The spectral function has been calculated using the Lehmann's representation for the relativistic nucleon propagator and nuclear many body theory is used to calculate it for an interacting Fermi sea in nuclear matter. A local density approximation is then applied to translate these results to finite nuclei. This model takes into account the binding energy, off mass shell and Fermi motion of the nucleons in the nuclear medium. Furthermore, we have taken into account the target mass correction, non-isoscalar nuclear correction and the $Q^2$ evolution in the parton distribution function. The results obtained by using this spectral function will be compared with the results obtained by using the different spectral functions available in literature. We have also studied the effect of the different parametrizations of the parton distribution function which are presently being used in the literature. Our results will be compared with the recent results available in literature from theoretical and phenomenological analyses of experimental data.

### Primary author

Dr Mohammad Athar (Aligarh Muslim University)

### Co-authors

Mr Ignacio Ruiz Simo (Departamento de Fisica Te'orica and IFIC, Centro Mixto Universidad de Valencia-CSIC) Prof. Manuel Vicente Vacas (Departamento de Fisica Te'orica and IFIC, Centro Mixto Universidad de Valencia-CSIC) Prof. S. K. Singh (Aligarh Muslim University)