[NT/RBRC seminar] Multiplicity distributions in DIS for heavy nuclei

by Mr Jose Garrido (Santa Maria U., Valparaiso)

Wednesday 3 Sept 2025, 11:00 → 13:00 US/Eastern

CFNS library (https://bnl.zoomgov.com/j/1614715193?pwd=WkwxODVWdzZzb29zQnZRVGp3VTBDQT09)

In this talk, we discuss the multiplicity distribution in the deep inelastic processes for heavy nuclei in the framework of high-energy QCD. We 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. Next, we discuss the solutions to these equations in both coordinate and momentum space using the homotopy approach, which consists of an analytical solution for the first iteration and a systematic procedure for calculating the next iterations using computing. For specific initial conditions, its found a simplified analytical solution for $\sigma_n$ in momentum space which allows us to calculate the entropy for the produced gluons: $S_E=\ln N_{DIS}$, where $N_{DIS}$ is the multiplicity in the deep inelastic scattering process, confirming previous ideas on this subject.