Relativistic Thermodynamics: Transverse Momentum Distributions in High-Energy Physics

Abstract

Transverse momentum distributions measured by the STAR and PHENIX collaborations at the Relativistic Heavy Ion Collider and by the ALICE, ATLAS and CMS collaborations at the Large Hadron Collider can be considered in the framework of relativistic thermodynamics using the Tsallis distribution. Theoretical issues are clarified concerning the thermodynamic consistency in the case of relativistic high energy quantum distributions. An improved form is proposed for describing the transverse momentum distribution and fits are presented together with estimates of the parameter q and the temperature T.

10 figures, 8 pages arXiv admin note: substantial text overlap with arXiv:1110.5526 and arXiv:1106.3405

References in corpus (11)

• Charged-particle multiplicities in pp interactions measured with the ATLAS detector at the LHC
• Measurements of Strange Particle Production in $p+p$ Collisions at $\sqrt{s}$= 200 GeV
• Production of pions, kaons and protons in pp collisions at $\sqrt{s}=900$ GeV with ALICE at the LHC
• The Tsallis Distribution in Proton-Proton Collisions at $\sqrt{s}$ = 0.9 TeV at the LHC
• Identified charged hadron production in p+p collisions at sqrt(s)=200 and 62.4 GeV
• Strange Particle Production in pp Collisions at sqrt(s) = 0.9 and 7 TeV
• Zeroth Law compatibility of non-additive thermodynamics
• Multiplicity fluctuations due to the temperature fluctuations in high-energy nuclear collisions
• Nonextensive effects on the relativistic nuclear equation of state
• Color Superconductivity and Tsallis Statistics
• Fluid dynamical equations and transport coefficients of relativistic gases with non-extensive statistics

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