Relaxation times for disoriented isospin condensates in high energy heavy ion collisions

Abstract

Fluctuations between charged and neutral kaons measured by the ALICE Collaboration in Pb-Pb collisions at the LHC exceed conventional explanations. Previously it was shown that if the scalar condensate is accompanied by an electrically neutral isospin--1 field then the combination can produce large equilibrium fluctuations where $⟨\bar{u}u⟩\ne ⟨\bar{d}d⟩$. Hadronizing strange and anti-strange quarks might then strongly fluctuate between charged ($u\bar{s}$ or $s\bar{u}$) and neutral ($d\bar{s}$ or $s\bar{d}$) kaons. Here we estimate the times for the condensates to achieve their equilibrium probability distributions within causal volumes in high energy heavy ion collisions. This is achieved by modeling the temperature dependence of the condensates, mesonic collective excitations, decay rates of the associated fields, and employing the Langevin and Fokker-Planck equations. Within this model, we find that the equilibration times are short compared with the expansion time, making disoriented isospin condensates a viable explanation for the anomalous fluctuations observed at the LHC.

arXiv commentFixes errors in eq. 67 and 68 and replaces figures 9 and 10, as reported in the erratum to appear in Phys. Rev. C; 27 pages, 12 figures

References in corpus (21)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Collective flow and viscosity in relativistic heavy-ion collisions
• The chiral and deconfinement aspects of the QCD transition
• Hydrodynamic Modeling of Heavy-Ion Collisions
• Elliptic flow in Au+Au collisions at sqrt(s_NN) = 130 GeV
• Centrality dependence of the charged-particle multiplicity density at mid-rapidity in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Fluctuating Glasma initial conditions and flow in heavy ion collisions
• 3+1D hydrodynamic simulation of relativistic heavy-ion collisions
• Charged particle multiplicity near mid-rapidity in central Au+Au collisions at $\sqrt{s}=$ 56 and 130 AGeV
• Centrality Dependence of Charged Particle Multiplicity in Au-Au Collisions at sqrt(s_NN)=130 GeV
• Charged particle densities from Au+Au collisions at sqrt{s_{NN}}=130 GeV
• Dependence on pseudorapidity and centrality of charged hadron production in PbPb collisions at a nucleon-nucleon centre-of-mass energy of 2.76 TeV
• Measurement of the centrality dependence of the charged particle pseudorapidity distribution in lead-lead collisions at sqrt(s_NN) = 2.76 TeV with the ATLAS detector
• Hydrodynamic Predictions for Pb+Pb Collisions at 5.02 A TeV
• DCC dynamics with the SU(3) linear sigma model
• Kaon and Pion Fluctuations from Small Disoriented Chiral Condensates
• Causality Constraints on Hadron Production In High Energy Collisions
• Properties of the Langevin and Fokker-Planck equations for scalar fields and their application to the dynamics of second order phase transitions
• Dissipation at Two-Loop Level: Undressing the Chiral Condensate
• Modeling of Charged-Neutral Kaon Fluctuations as a Signature of DCC Production in A--A Collisions
• Neutral to charged kaon yield fluctuations in Pb$-$Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76TeV