Speaker
Description
In this talk, we will discuss the multiplicity distribution in deep inelastic processes on a heavy nucleus in the framework of high-energy QCD. We will present a new derivation for the cross sections of productions of $n$ gluons in the final states ($\sigma_n$), obtained using the dipole picture of high-energy QCD and consistent with the equations derived from the Abramovsky-Gribov-Kancheli (AGK) cutting rules. These equations describe the production of $n$ gluons measured by the detector. We solve them in coordinate space by using the homotopy method, which provides an analytical solution for the first iteration and a systematic procedure for the higher-order corrections. For specific initial conditions, we also found a simplified analytical solution for $\sigma_n$ in momentum space and calculated the entropy for the produced gluons: $\ln N_{DIS}$, where $N_{DIS}$ is the multiplicity in the deep inelastic scattering process, confirming previous ideas on this subject.