On the precise determination of the Tsallis parameters in proton - proton collisions at LHC energies

Abstract

A detailed analysis is presented of the precise values of the Tsallis parameters obtained in $p-p$ collisions for identified particles, pions, kaons and protons at the LHC at three beam energies $\sqrt{s}=0.9,2.76$ and $7$ TeV. Interpolated data at $\sqrt{s}=$ 5.02 TeV have also been included. It is shown that the Tsallis formula provides reasonably good fits to the $p_T$ distributions in $p-p$ collisions at the LHC using three parameters $dN/dy$, $T$ and $q$. However, the parameters $T$ and $q$ depend on the particle species and are different for pions, kaons and protons. As a consequence there is no $m_T$ scaling and also no universality of the parameters for different particle species.

19 pages, 8 figures

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Cited by in corpus (25)

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• Entropy production in pp and Pb-Pb collisions at energies available at the CERN Large Hadron Collider
• Super-statistical description of thermo-magnetic properties of a system of 2D GaAs quantum dots with gaussian confinement and Rashba spin-orbit interaction
• Hadron transverse momentum distributions of the Tsallis normalized and unnormalized statistics
• Equivalence of the phenomenological Tsallis distribution to the transverse momentum distribution of $q$-dual statistics
• Fluctuating temperature and baryon chemical potential in heavy-ion collisions and the position of the critical end point in the effective QCD phase diagram
• Centrality, transverse momentum and collision energy dependence of the Tsallis parameters in relativistic heavy-ion collisions
• Bag-type Model with Fractal Structure
• Momentum distribution and correlation for a free scalar field in the Tsallis nonextensive statistics based on density operator
• Non-extensivity of the QCD pT spectra
• QCD equation of state with Tsallis statistics for heavy-ion collisions
• Thermodynamics of the independent harmonic oscillators with different frequencies in the Tsallis statistics
• Entropy per rapidity in Pb-Pb central collisions using Thermal and Artificial neural network(ANN) models at LHC energies
• Characterizing Proton-Proton Collisions at the Large Hadron Collider with Thermal Properties
• Propagation of non-linear waves in hot, ideal, and non-extensive quark-gluon plasma
• Role of chemical potential at kinetic freeze-out using Tsallis non-extensive statistics in proton-proton collisions at the Large Hadron Collider
• Nonlinear waves in a hot, viscous and nonextensive quark gluon plasma
• Strangeness Enhancement due to String Fluctuations
• Thermodynamic relations and fluctuations in the Tsallis statistics
• Chiral phase transition in the linear sigma model within Hartree factorization in the Tsallis nonextensive statistics
• Chiral phase transition within the linear sigma model in the Tsallis nonextensive statistics based on density operator
• Relation between the escort average in microcanonical ensemble and the escort average in canonical ensemble in the Tsallis statistics
• Determination of the chemical potential in the Tsallis distribution at LHC energies
• Thermal Field Theory of the Tsallis statistics
• Effect of event classification on the Tsallis-thermometer