Structure Functions of the Nucleon in a Statistical Model
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 ${\cal O}(α_{s})$ corrections in our numerical calculations allows a good fit to the data for $x\geq 0.25$. The fit corresponds to values of temperature and chemical potential of approximately $T=0.067$ GeV and $μ=0.133$ GeV. The latter values of parameters, however, give rise, for all $x$, to a large value for $R=σ_{L}/σ_{T}$.
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