Nuclei in the toy world: beyond the Pomeron in zero transverse dimensions

Alex Kovner, Eugene Levin, Michael Lublinsky

Research output: Contribution to journalArticlepeer-review

Abstract

We explore possible extensions of the t-channel and s-channel unitary model of high energy evolution in zero transverse dimensions appropriate to very high energy/atomic number where the dipole density in a toy hadron is parametrically high. We suggest that the appropriate generalization is to allow emission of more than one dipole in a single step of energy evolution. We construct explicitly such a model that preserves the t-channel and s-channel unitarity and have the correct low density limit, and study the particle multiplicity distribution resulting from this evolution. We consider initial conditions of a single dipole and many dipoles at initial rapidity. We observe that the saturation regime in this model is preceded by a parametric range of rapidities 1αsln1αs<Y<1αsln1αs2, where the saturation effects are still unimportant, but multiple emissions determine the properties of the evolution. We also discuss the influence of the saturation on the parton cascade and, in particular, find that in the saturation regime the entropy of partons becomes S ≈ 12 ln N where N is the mean multiplicity.

Original languageEnglish
Article number19
JournalJournal of High Energy Physics
Volume2022
Issue number5
DOIs
StatePublished - May 2022

Keywords

  • Deep Inelastic Scattering or Small-X Physics
  • Effective Field Theories of QCD
  • Quark-Gluon Plasma
  • Resummation

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