Applications of a nonlinear evolution equation I: the parton distributions in the proton

Abstract

The parton distributions in the proton are evaluated dynamically using a nonlinear QCD evolution equation - the DGLAP equation with twist-4 (the GLR-MQ-ZSR) corrections - starting from a low scale ${\mu }^2$, where the nucleon consists of valence quarks. We find that the negative nonlinear corrections can improve the perturbative stability of the QCD evolution equation at low $Q^2$. Our resulting parton distributions of the proton with four free parameters are compatible with the existing databases. We show that the sea quark distributions exhibit a positive and flattish behavior at small $x$ and low $Q^2$. This approach provides a powerful tool to connect the quark models of the hadron and various non-perturbative effects on them at scale ${\mu }^2$ with the measured structure functions at high scale $Q^2>>{\mu }^2$.

30 pages, 18 figures, Published version in Int. J. Mod. Phys. E

References in corpus (1)

• Prediction for unintegrated parton distributions

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• Applications of a nonlinear evolution equation II: the EMC effect
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• Gottfried sum rule from maximum entropy method quark distributions with DGLAP evolution and DGLAP evolution with GLR-MQ-ZRS corrections
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