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Diffractive Electron-Nucleus Scattering and Ancestry in Branching Random Walks.

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This summary is machine-generated.

We found an analogy between electron-nucleus scattering and branching random walks. This allows new predictions for diffractive mass distributions at future electron-ion colliders.

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Area of Science:

  • High-energy physics
  • Quantum chromodynamics
  • Statistical mechanics

Background:

  • Diffractive electron-nucleus scattering involves complex particle interactions.
  • Understanding gluon evolution is crucial for nuclear physics.
  • Branching random walks model particle behavior in certain systems.

Purpose of the Study:

  • To establish an analogy between diffractive scattering and branching random walks.
  • To leverage this analogy for new quantitative predictions in particle physics.
  • To identify measurable observables at future electron-ion colliders.

Main Methods:

  • An event-by-event picture of diffraction was developed.
  • The analogy highlights statistical properties of gluon evolution.
  • Mapping scattering events to genealogical trees of random walks.

Main Results:

  • A direct correspondence between scattering and branching random walks was established.
  • The study provides a method to determine the distribution of total invariant mass in diffractive events.
  • New quantitative predictions for diffractive phenomena are derived.

Conclusions:

  • The analogy offers a novel perspective on diffractive electron-nucleus scattering.
  • The predicted mass distribution is a key observable for future experiments.
  • This work facilitates deeper understanding of fundamental particle interactions.