Author(s)

Mohammed Sultan Al-Buriahi^*, Mohammed Tarek Hussein, Mohammed Tawfik Ghoneim

Faculty of Science, Cairo University, Cairo, Egypt.

The comparison between the muon and the neutrino as probes of the nucleon structure is presented. The prediction of the structure functions, quark distributions, leptonic currents, and cross section led us to obtain some of the features of the electro-weak interactions in the deep inelastic scattering. A perturbation technique is used to evaluate the leptonic current that is assumed to be a complex quantity. The imaginary part of which represents the rate of absorption. On the other hand, the quarks wave functions forming the nucleon are extracted from experimental data for neutrino-nucleon and muon-nucleon collisions. A numerical technique is applied to analyze the data of the experiments CERN-NA-2 and CERN-WA25, to evaluate the quark functions and hence to calculate the hadronic current. It is found that the quark distribution functions predicted by the muon as a probe is slightly shifted up compared with that of the neutrino. Finally, the differential cross section is calculated in terms of leptonic and hadronic currents.

Lepton-Nucleon Interactions, Deep Inelastic Structure Function, Quark Functions

Al-Buriahi, M. , Hussein, M. and Ghoneim, M. (2015) Probing Nucleon Structure in Deep Inelastic Scattering. Journal of Applied Mathematics and Physics, 3, 608-622. doi: 10.4236/jamp.2015.35073.