JAMP  Vol.3 No.5 , May 2015
Probing Nucleon Structure in Deep Inelastic Scattering
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.
Cite this paper: 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.

[1]   Abazov, V., Abbott, B., Abdesselam, A., Abolins, M., Abramov, V., Acharya, B. and Affolder, T. (2004) Combination of CDF and D0 Results on the W Boson Mass and Width. Physical Review D, 70, Article ID: 092008.

[2]   Duan, C.-G., Song, L.-H., Wang, S.-H. and Li, G.-L. (2005) Nuclear Parton Distribution Functions and Energy-Loss Effect in the Drell-Yan Reaction off Nuclei. The European Physical Journal C-Particles and Fields, 39, 179-184.

[3]   Hirai, M., Kumano, S. and Miyama, M. (2001) Determination of Nuclear Parton Distributions. Physical Review D, 64, Article ID: 034003.

[4]   Martin, A.D., Roberts, R., Stirling, W. and Thorne, R. (2000) Parton Distributions and the LHC: W and Z Production. The European Physical Journal C-Particles and Fields, 14, 133-145.

[5]   Ball, R.D., Bertone, V., Carrazza, S., Deans, C.S., Del Debbio, L., Forte, S. and Rojo, J. (2013) Parton Distributions with LHC Data. Nuclear Physics B, 867, 244-289.

[6]   Allen, P., Grassler, H., Lanske, D., Schulte, R., Bockmann, K., Geich-Gimbel, C. and Saarikko, H. (1981) Determination of the Quark Density Ratio d(x) u (x) in the Proton. Physics Letters B, 103, 71-74.

[7]   Mirjalili, A., Dehghani, M. and Yazdanpanah, M.M. (2013) Parton Densities with the Quark Linear Potential in the Statistical Approach. International Journal of Modern Physics A, 28.

[8]   Arkhipov, A. (2014) Quark-Quark Forces in Quantum Chromodynamics. arXiv Preprint arXiv:1410.0271.

[9]   Modarres, M. and Mohamadnejad, A. (2013) The Thermodynamic Properties of Weakly Interacting Quark-Gluon Plasma via the One-Gluon Exchange Interaction. Physics of Particles and Nuclei Letters, 10, 99-104.

[10]   James, E. (2007) Precision Electroweak Physics at the Tevatron. arXiv preprint hep-ex/0701003.

[11]   Diaconu, C. (2006) Electroweak Measurements. International Journal of Modern Physics A, 21, 1604-1616.

[12]   Kopeliovich, B.Z., Morfín, J.G. and Schmidt, I. (2013) Nuclear Shadowing in Electro-Weak Interactions. Progress in Particle and Nuclear Physics, 68, 314-372.

[13]   Baur, U., Keller, S. and Wackeroth, D. (1998) Electroweak Radiative Corrections to W Boson Production in Hadronic Collisions. Physical Review D, 59, Article ID: 013002.

[14]   Allasia, D., Angelini, C., Baldini, A., Bertanza, L., Bigi, A., Bisi, V. and Calimani, E. (1985) Q2 Dependence of the Proton and Neutron Structure Functions from Neutrino and Antineutrino Scattering in Deuterium. Zeitschrift für Physik C Particles and Fields, 28, 321-333.

[15]   Benvenuti, A.C., Bollini, D., Bruni, G., Navarria, F., Argento, A., Lohmann, W. and Baranov, S. (1990) A High Statistics Measurement of the Deuteron Structure Functions F2 (x, Q2) and R from Deep Inelastic Muon Scattering at High Q2. Physics Letters B, 237, 592-598.

[16]   Aubert, J.-J., Bassompierre, G., Becks, K., Best, C., Bohm, E., de Bouard, X. and Carr, J. (1985) A Detailed Study of the Proton Structure Functions in Deep Inelastic Muon-Proton Scattering. Nuclear Physics B, 259, 189-265.

[17]   Martin, A.D., Stirling, W. and Roberts, R.G. (1993) Parton Distributions Updated. Physics Letters B, 306, 145-150.

[18]   Pumplin, J., Stump, D.R., Huston, J., Lai, H.-L., Nadolsky, P. and Tung, W.-K. (2002) New Generation of Parton Distributions with Uncertainties from Global QCD Analysis. Journal of High Energy Physics, 7, 12.