TITLE:
Probing Nucleon Structure in Deep Inelastic Scattering
AUTHORS:
Mohammed Sultan Al-Buriahi, Mohammed Tarek Hussein, Mohammed Tawfik Ghoneim
KEYWORDS:
Lepton-Nucleon Interactions, Deep Inelastic Structure Function, Quark Functions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.5,
May
29,
2015
ABSTRACT: 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.