Non-Singlet spin structure function in the valon model and low x scaling behavior of $g_1^{NS}$ and $g_1^p$

Abstract

A next-to-leading order QCD calculation of non-singlet spin structure function, $g_1^{NS}$ is presented within the valon representation of Hadrons. In the valon model, it is assumed that a nucleon is composed of three dressed valence quarks: the valons which have their own internal structure, the valence quark with its associated sea quarks and gluons. The results are in good agreement with all available data from SMC, E143, HERMES and with the newly released data from COMPASS experiments. It appears that the small x tail of $g_1^{NS}$ can be described by a single Regge-type exchange. The relevant parameter of this exchange is given. Finally we show that the polarized proton structure function has a scaling behavior at small x. The relevant parameters of this behavior are given too.

16 pages, 10 figures

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• The Deuteron Spin-dependent Structure Function g1d and its First Moment
• The Spin-dependent Structure Function of the Proton g_1^p and a Test of the Bjorken Sum Rule
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• The Polarised Valence Quark Distribution from semi-inclusive DIS
• Flavour Separation of Helicity Distributions from Deep Inelastic Muon-Deuteron Scattering
• Experimental study of isovector spin sum rules
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• The Bjorken sum rule with Monte Carlo and Neural Network techniques

Cited by in corpus (5)

• Study of spin-dependent structure functions of ${}^3\mathrm{He}$ and ${}^3\mathrm{H}$ at NNLO approximation and corresponding nuclear corrections
• Transversity Distribution Functions in the Valon Model
• Parton distribution functions with QED corrections in the valon model
• Small-x behavior of non-singlet spin structure function and Bjorken sum rule with pQCD correction up to NNLO and Higher twist correction
• Transverse Spin Structure Function g2(x, Q2 ) in the Valon model