Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.
Charged particle multiplicities in pp interactions at sqrt(s) = 0.9, 2.36, and 7 TeV
6 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Measurements of primary charged hadron multiplicity distributions are presented for non-single-diffractive events in proton-proton collisions at centre-of-mass energies of sqrt(s) = 0.9, 2.36, and 7 TeV, in five pseudorapidity ranges from |eta|<0.5 to |eta|<2.4. The data were collected with the minimum-bias trigger of the CMS experiment during the LHC commissioning runs in 2009 and the 7 TeV run in 2010. The multiplicity distribution at sqrt(s) = 0.9 TeV is in agreement with previous measurements. At higher energies the increase of the mean multiplicity with sqrt(s) is underestimated by most event generators. The average transverse momentum as a function of the multiplicity is also presented. The measurement of higher-order moments of the multiplicity distribution confirms the violation of Koba-Nielsen-Olesen scaling that has been observed at lower energies.
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representative citing papers
In a gluon spectator model at small x, the normalized Husimi distribution yields a Wehrl entropy that decomposes into an entanglement entropy term matching CMS data and a transverse residual term.
Reciprocal symmetry f_s(z)=f_s(1/z) implies local constraints on multiplicity distributions at n=<n> that hold to leading order in ATLAS data, plus a model-independent entanglement entropy expression S=ln<n>+1-½∫e^{-z}f_s²(z)dz+O(f_s³).
The generalized dipole model fits entropy and mean multiplicity data from proton-proton collisions significantly better than the standard 1D Mueller dipole model.
An approximate formula for the entropy of the negative binomial distribution is provided, with up to ~20% deviation from exact values for extreme parameters.
citing papers explorer
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The Maximal Entanglement Limit in Statistical and High Energy Physics
Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.
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QCD Wehrl and entanglement entropies in a gluon spectator model at small-$x$
In a gluon spectator model at small x, the normalized Husimi distribution yields a Wehrl entropy that decomposes into an entanglement entropy term matching CMS data and a transverse residual term.
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Higher-order local constraints from reciprocal symmetry and entanglement entropy of charged-particle multiplicity distributions in $pp$ collisions
Reciprocal symmetry f_s(z)=f_s(1/z) implies local constraints on multiplicity distributions at n=<n> that hold to leading order in ATLAS data, plus a model-independent entanglement entropy expression S=ln<n>+1-½∫e^{-z}f_s²(z)dz+O(f_s³).
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Entropy and mean multiplicity from dipole models in the high energy limit
The generalized dipole model fits entropy and mean multiplicity data from proton-proton collisions significantly better than the standard 1D Mueller dipole model.
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An approximate formula for the entropy of the negative binomial distribution
An approximate formula for the entropy of the negative binomial distribution is provided, with up to ~20% deviation from exact values for extreme parameters.
- Reciprocal symmetry and KNO scaling violation in proton-proton collisions