Abstract

Perturbative QCD manifests that the sea quark distributions in a hadron evolve rapidly with \(\ln (1/x)\) at fixed \(Q^2\). However, at very small x the sharp growth of the sea quark density slows down eventually in order to restore the Froissart bound on physical cross sections. The gluon recombination processes, which lead to the nonlinear corrections to the linear QCD evolution, are expected to be responsible for this taming behaviour. In this paper, we report a semi-analytical approach for the solution of nonlinear Gribov-Levin-Ryskin-Mueller-Qiu (GLR-MQ) evolution equation for singlet quark distribution and investigate the effect of gluon shadowing on the small-x and moderate-\(Q^2\) behaviour of singlet structure function, \(F_2^S(x,Q^2)\). The computed results are then compared with different experimental data as well as parametrizations. It is very interesting to observe signatures of gluon recombination in our predictions towards smaller values of x and \(Q^2\).

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