Deficiency of the Gross - Llewellyn Smith Sum Rule and Qcd Vacuum Polarization Effect

From the analysis of the recent CCFR Collaboration data for the structure function xF3(x,Q ) (0.015 < x < 0.65 and 1.2 GeV 2 < |Q| < 501 GeV ) of the deep inelastic neutrino nucleon scattering we conclude that probably part of the nucleon baryon number is due to the vacuum polarization effects. The deep inelastic lepton nucleon scattering processes (DIS) occurring at small distances characterize the internal structure of the elementary particles. In the past few years new experiment data with high precision and in large kinematic region has became available. Recently the QCD analysis of the most precise data for the neutrino nucleon DIS structure function xF3(x,Q ) measured by the CCFR Collaboration at the FERMILAB collider [1] has been performed [2]. This analysis results in the estimation of the Gross Llewellyn Smith sum rule (GLSsr) [3] in wide region of Q, 2 GeV 2 < Q < 500 GeV ,