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Charged particle multiplicity distributions derived from the Principle of Maximal Entropy
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Recent theoretical results renewed the interest in charged particle multiplicity distributions. The Shannon entropy of such distributions is conjectured to be related to the entanglement or von Neumann entropy of partonic quantum system. In this paper, we show that the measured charged particle multiplicities can be derived from the principle of maximum entropy (POME or MAXENT) without any a priori physical assumption. The approach provides a natural explanation for the well-known negative binomial shape of the measured distributions.
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Deep inelastic scattering as a probe of entanglement: the complete QCD dipole cascade
The Shannon entropy of dipole multiplicities from the full Levin–Lublinsky equation in DIS reproduces the H1 hadron entropy, growing linearly with ln(1/x) and described by S = ln(2/3⟨n⟩) + 0.85.
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