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Particle production in the toy world: multiplicity distribution and entropy
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Particle production in the toy world: multiplicity distribution and entropy
abstract
In this paper we found the multiplicity distribution of the produced dipoles in the final state for dipole-dipole scattering in the zero dimension toy models. This distribution shows the great differences from the distributions of partons in the wave function of the projectile. However, in spite of this difference the entropy of the produced dipoles turns out to be the same as the entropy of the dipoles in the wave function. This fact is not surprising since in the parton approach only dipoles in the hadron wave function which can be produced at $t = +\infty$ and measured by the detectors. We can also confirm the result of Kharzeev and Levin that this entropy is equal to $S_E = \ln\bigl(xG(x)\bigr)$, where we denote by $xG$ the mean multiplicity of the dipoles in the deep inelastic scattering. The evolution equations for $\sigma_n$ are derived.
Forward citations
Cited by 3 Pith papers
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Dipole-dipole scattering at high energy in the Pomeron field theory with Braun Hamiltonian and beyond
Deep in saturation, Braun-Hamiltonian pomeron calculus predicts S_dd = (S_BK)^4 for dipole-dipole scattering, four powers of the standard estimate, but the paper's own unitary toy model contradicts this prediction.
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Quantum entanglement within quarkonium
Quark-antiquark entanglement entropy in quarkonium is derived from light-front wave functions, reduces to the Shannon entropy of TMDs, and shows strong polarization dependence for spin-1 mesons.
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Dipole-dipole scattering: summing large Pomeron loops in non-linear evolution with leading twist kernel
In a leading-twist kernel, matching the BK solution to fan-diagram series yields KNO multiplicity distributions and gluon entropy S_E = ln(xG) for dipole-nucleus and dipole-dipole scattering.
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