Results on nucleon structure functions in quantum chromodynamics

Gluon bremsstrahlung processes inside the nucleon are investigated using the standard renormalization-group analysis. A new method of inverting the moments is applied which leads to analytic results for the parton distributions near $x=1\mathrm{}$ and $x=0\mathrm{}$. The nucleon is considered as a bound state of three quarks subsequently "renormalized" by gluon bremsstrahlung and quark-antiquark pair production. An "unrenormalized" valence quark distribution peaked at $x=\frac{1}{3}$, with a width related to the nucleon radius, leads to good agreement with deep-inelastic data. However, the gluon distribution obtained seems too steep near $x=0\mathrm{}$.