Baryon stopping as a relativistic Markov process in phase space

Abstract

We reconsider baryon stopping in relativistic heavy-ion collisions in a nonequilibrium-statistical framework. The approach combines earlier formulations based on quantum chromodynamics with a relativistic diffusion model through a suitably derived fluctuation-dissipation relation, thus allowing for a fully time-dependent theory that is consistent with QCD. We use an existing framework for relativistic stochastic processes in spacetime that are Markovian in phase space, and adapt it to derive a Fokker-Planck equation in rapidity space, which is solved numerically. The time evolution of the net-proton distribution function in rapidity space agrees with stopping data from the CERN Super Proton Synchrotron and the BNL Relativistic Heavy Ion Collider.

arXiv comment9 pages, 4 figures, 1 table

References in corpus (29)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• NNLO global parton analysis
• The Color Glass Condensate and hadron production in the forward region
• Baryon Stopping and Charged Particle Distributions in Central Pb+Pb Collisions at 158 GeV per Nucleon
• Relativistic Brownian Motion
• Nuclear Stopping in Au+Au Collisions at sqrt(sNN) = 200 GeV
• Nuclear Modification Factor in d+Au Collisions: Onset of Suppression in the Color Glass Condensate
• Non-extensive statistical effects in high-energy collisions
• Theory of the Relativistic Brownian Motion. The (1+1)-Dimensional Case
• Gluon Transport Equation in the Small Angle Approximation and the Onset of Bose-Einstein Condensation
• Theory of Relativistic Brownian Motion: The (1+3)-Dimensional Case
• Nuclear stopping and rapidity loss in Au+Au collisions at sqrt{s_{NN}}=62.4 GeV
• Relativistic diffusion processes and random walk models
• Baryon Stopping as a new Probe of Geometric Scaling
• Anomalous diffusion in non-equilibrium relativistic heavy-ion rapidity spectra
• Nonlocal observables and lightcone-averaging in relativistic thermodynamics
• Baryon stopping and saturation physics in relativistic collisions
• Rapidity Spectra Analysis in Terms of Non Extensive Statistic Approach
• Invariance of the relativistic one-particle distribution function
• Scaling Behavior of $(N_{ch}{)}^{-1}d{N}_{ch}/d\eta$ at $\sqrt{s_{NN}}=130$ GeV by the PHOBOS Collaboration and Its Implication --A Possible Explanation Employing the Ornstein-Uhlenbeck Process--
• The thermalization of soft modes in non-expanding isotropic quark gluon plasmas
• Has saturation physics been observed in deuteron-gold collisions at RHIC?
• Recent results from BRAHMS
• Time parameters and Lorentz transformations of relativistic stochastic processes
• Baryon stopping in the Color Glass Condensate formalism: A phenomenological study
• Brownian motion approach to the ideal gas of relativistic particles
• Beyond the thermal model in relativistic heavy-ion collisions
• Aspects of relativistic heavy-ion collisions

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• Cylindrically symmetric diffusion model for relativistic heavy-ion collisions
• Centrality dependence of limiting fragmentation
• Relativistic diffusion model for hadron production in p-Pb collisions at the LHC
• Spectral eigenfunction decomposition of a Fokker-Planck operator for relativistic heavy-ion collisions
• Predictions for charged-hadron production in $p$-O collisions at LHC energies