Structure Functions of the Nucleon in a Statistical Model

Abstract

Deep inelastic scattering is considered in a statistical model of the nucleon. This incorporates certain features which are absent in the standard parton model such as quantum statistical correlations which play a role in the propagation of particles when considering Feynman diagrams containing internal lines. The inclusion of the $\mathcal{O}({\alpha }_s)$ corrections in our numerical calculations allows a good fit to the data for $x\ge 0.25$. The fit corresponds to values of temperature and chemical potential of approximately $T=0.067$ GeV and $\mu =0.133$ GeV. The latter values of parameters, however, give rise, for all $x$, to a large value for $R={\sigma }_L/{\sigma }_T$.

Comments: 16 pages TeX, 11 figures available as Postscript files, University of Bielefeld preprint BI-TP 93/35