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Dynamical dissociation of quarkonia by wave function decoherence
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abstract
We investigate the real-time evolution of quarkonium bound states in a quark-gluon plasma in one dimension using an improved QCD based stochastic potential model. This model describes the quarkonium dynamics in terms of a Schr\"odinger equation with an in-medium potential and two noise terms encoding the residual interactions between the heavy quarks and the medium. The probabilities of bound states in a static medium and in a boost-invariantly expanding quark-gluon plasma are discussed. We draw two conclusions from our results: One is that the outcome of the stochastic potential model is qualitatively consistent with the experimental data in relativistic heavy-ion collisions. The other is that the noise plays an important role in order to describe quarkonium dynamics in medium, in particular it causes decoherence of the quarkonium wave function. The effectiveness of decoherence is controlled by a new length scale $l_{\rm corr}$. It represents the noise correlation length and its effect has not been included in existing phenomenological studies.
Forward citations
Cited by 6 Pith papers
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A doctoral thesis deriving the QCD correlation functions that control quarkonium dissociation and recombination in the quark-gluon plasma, and showing that hydrodynamization in a simplified QCD kinetic theory matches ...
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Quantum decoherence: a study applied to quarkonium-like bound states in strongly interacting matter
A Lindblad master equation for a J/psi-like harmonic oscillator in an expanding QGP shows that hydrodynamic cooling slows quantum decoherence compared to a static bath, with viscosity having negligible impact.
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Decoherence of a glasma-like coherent state yields an entropy per particle below the thermal gluon gas value, except in proton-nucleus collisions at small g mu.
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