Abstract
In this work we analyse the entanglement entropy in deep inelastic scattering off protons and nuclei. It is computed based on the formalism where the partonic state at small-x is maximally entangled with proton being constituted by large number of microstates occuring with equal probabilities. We consider analytical expressions for the number of gluons, N_{gluon}, obtained from gluon saturation models for the dipole-target amplitudes within the QCD color dipole picture. In particular, the nuclear entanglement entropy per nucleon is studied. We also study the underlying uncertainties on these calculations and compare the results to similar investigations in literature.
Highlights
High energy physics community make strong efforts to use statistical physics concepts to describe the outcome of particle collisions [1,2]
We follows the formalism presented in Ref. [5], where the entanglement entropy is obtained in the framework of high energy quantum chromodynamics (QCD) using both a simplified (1 þ 1) dimensional model of nonlinear QCD evolution and a full calculation in (3 þ 1) dimensional case described by the Balitsky-Kovchegov (BK) evolution equation
We have investigated the entanglement entropy in deep inelastic scattering for ep and eA collisions
Summary
High energy physics community make strong efforts to use statistical physics concepts to describe the outcome of particle collisions [1,2]. The central distribution of multiplicities of particle produced in such scatterings at high energies regime is related to the entropy produced by the collisions In this context, one subject of study in recent years is the entanglement entropy [3], SEE. It is demonstrated that Sh and SEE are in agreement at small-x by using measured hadron multiplicity distributions at the Large Hadron Collider (LHC) Motivated by those studies in this work we compute the entanglement entropy of partons within the nucleons and nuclei at high energies using analytical parametrizations for the gluon distribution function (PDF) based on parton saturation approach. In the last section we summarize the main conclusions and perspectives
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