High Energy Parton Evolution And Gluon Number Fluctuation Effects In Diffractive DIS

In the framework of color glass condensate(CGC), we derived the high energy part on evolution equation. The analytic solution of the evolution equation is obtained at the saturation region. The results show that the scattering amplitude satisfies the unitarity limit after including the saturation effect, namely the scattering amplitude does not exponentially increase with rapidity as linear case. With the saturation effect, the scattering amplitude goes to unity when the rapidity tends to infinity. In addition, we got the relation between the saturation momentumand rapidity, and found that the saturation moment umexponentially increase with rapidity in the leading order approximation.In order to further study one of the next-to-leading order effects (gluon number fl uctuati on effects) in the color glass condensate, and find the evidence of the possibility of gluons number fluctuation effect in the diffractive deep inelastic scattering process, the gluon number fluctuation effects and the impact parameter dependence are both included in the original IIM model.Weset up a morcomplete eta CGC model and the results show that the value of saturation exponent is in good agreement with the oretical expectation, and the description of the diffractive deep inelastic scattering data is improved,with ?~2/d.o.f=0.878, ?~2/d.o.f=0.928 and ?~2/d.o.f= 0.897 i n di fferent sets of free parameters. Moreover, we find that the impact parameter(??0.1)i s possibly compressed by the gluon number fluctuati on, which leads to the value of saturati on exponent returning to ??0.2 . This outcome is compatible with the prediction that the saturation exponent is dominated by the fluctuations at sufficiently high energy, which may indicate the possibilty of gluon number fluctuation in diffractive DIS data.