The QCD Analysis of the Structure Functions and Effective Nucleon Mass.pdfVIP

The QCD Analysis of the Structure Functions and Effective Nucleon Mass. 5 9 9 A.V.Sidorov 1 Bogoliubov Theoretical Laboratory g u Joint Institute for Nuclear Research A 141980 Dubna Russia 0 1 2 February 1, 2008 v 0 7 2 Abstract 8 0 On the basis of the target mass corrections to structure functions of deep-inelastic 5 9 scattering of leptons, we evaluate effective nucleon mass that turns out to be twice / Mnucl. for deep-inelastic scattering on the nucleus target and equals Mnucl. for the hy- h p drogen target. - p e h : v i X r a Deep-inelastic scattering of leptons provides a precise information on structure functions (SF) of a nucleon. It is well known that when target mass corrections (TMC) are taken into account, the QCD description of the SF of deep-inelastic scattering is improved. These 2 2 effect is of the order Mnucl. /Q . In this aricle, we are going to consider the question wherher the mass of a nucleon is the best value for the description of data or in order to make the fit better, one has to use another value Meff. which could differ from the mass of nucleon. The Nachtmann moments [1] of SF F2 and F3 are defined as: QCD 2 1 dxξN +1 2 3 + 3(N + 1)V + N (N + 2)V 2 M (N, Q ) = F (x, Q ) , (1) 2 0 x3 2 (N + 2)(N + 3) QCD 2 1 dxξN +1