FIZIKA B 15 (2006)  1, 37-50

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Cairo University, Fayoum Branch, Faculty of Science, Fayoum, Egypt
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Received 17 March 2004;  Accepted 30 September 2006
Online 1 December 2006

A model is proposed to prospect the general features of the weak interaction of the neutrino with the nucleons. The interaction is viewed via intermediate vector boson. The deep inelastic differential cross section is calculated in terms of the leptonic and hadronic weak currents. A perturbation technique is used to evaluate the leptonic current that explains the cross section dependence on the four-vector momentum transfer square q2. The leptonic current is considered as a complex quantity, the imaginary part of which represents the rate of absorption. On the other hand, the wave functions of the quarks forming the target nucleon are extracted from experimental data for neutrino-nucleon and electron-nucleon collisions. An empirical method is applied to analyse the data and used to evaluate the quark functions and hence to calculate the weak hadronic current. It is found that the sea-quark wave functions show substantial increase at very low x values, while the quark functions extend to higher values. The hadronic current carries the lineaments of the reaction that depend on the Bjorken scaling variable x as well as q2. The prediction of the model can explain fairly the experimental data at the neutrino energy range 120 - 250 GeV and Bjorken variable x < 0.5.

PACS numbers: 13.15.+g
UDC 539.123

Keywords: neutrino-nucleon interaction, leptonic and hadronic weak currents, deep inelastic differential cross section, sea-quark wave functions

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