Multiplicity distributions in DIS for heavy nucleus

Abstract

We found solutions to the linear but with complicated kernel and non-homogeneous evolution equations for the cross sections of productions of $n$-cut Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomerons in the final states of high energy DIS on a nucleus, resumming all multiple rescatterings in the leading logarithmic approximation. For the model leading-twist BFKL kernel, we calculate analytical solutions of these equations by developing the homotopy approach. We also calculate the solution in the large $z=\ln \left(x_{01}^2{Q}_s^2(Y,\mathbf{b})\right)$ and large $n\gtrsim ⟨n(z)⟩$ limits, where $x_{01}$ is the dipole size, $Q_s$ the saturation scale and $⟨n(z)⟩$ is the average multiplicity of the produced gluons. Having these cross sections we calculate the multiplicity distributions of the produced gluons and describe how the upcoming Electron-Ion Collider (EIC) can test our theoretical formalism.

6 pages, 2 figures; proceedings of the 2025 International Conference on the Structure of Baryons (Baryons 2025), November 10-14, 2025, International Convention Center Jeju (ICC Jeju), Seogwipo, Jeju Island, South Korea. Based on arXiv:2603.21775 [hep-ph]

References in corpus (13)

• Geometric scaling for the total gamma^* p cross section in the low x region
• Factorization and high-energy effective action
• Small-x physics in perturbative QCD
• The Energy Dependence of the Saturation Momentum
• Geometric scaling as traveling waves
• Solution to the evolution equation for high parton density QCD
• The Energy Dependence of the Saturation Momentum from RG Improved BFKL Evolution
• New Scaling at High Energy DIS
• Diffractive Dissociation Including Multiple Pomeron Exchanges in High Parton Density QCD
• Nonlinear evolution and saturation for heavy nuclei in DIS
• Saturation and Scaling of Multiplicity, Mean p_T and p_T Distributions from 200 GeV < sqrt{s} < 7 TeV - Addendum
• Geometrical Scaling and the Dependence of the Average Transverse Momentum on the Multiplicity and Energy for the ALICE Experiment
• Multiparticle production in the mean field approximation of high density QCD