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 $x=1$ and $x=0$. 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=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 $x=0$.
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F. Martin (1979) studied this question.
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