Analytical Results for the Classical and Quantum Tsallis Hadron Transverse Momentum Spectra: the Zeroth Order Approximation and beyond

Abstract

We derive the analytical expressions for the first and second order terms in the hadronic transverse momentum spectra obtained from the Tsallis normalized (Tsallis-1) statistics. We revisit the zeroth order quantum Tsallis distributions and obtain the corresponding analytical closed form expressions. It is observed that unlike the classical case, the analytical closed forms of the zeroth order quantum spectra do not resemble the phenomenological distributions used in the literature after $q\to q^{-1}$ substitution, where $q$ is the Tsallis entropic parameter. However, the factorization approximation increases the extent of similarity.

12 pages, 6 figures

References in corpus (5)

• Quark matter revisited with non extensive MIT bag model
• Analytic results for the Tsallis thermodynamic variables
• Ultrarelativistic transverse momentum distribution of the Tsallis statistics
• Comparison of Tsallis statistics with the Tsallis-factorized statistics in the ultrarelativistic $pp$ collisions
• Non-Extensive Behaviour of the QCD Strong Coupling Constant

Cited by in corpus (3)

• Hadron transverse momentum distributions in the Tsallis statistics with escort probabilities
• A harmonic oscillator in nonadditive statistics and a novel transverse momentum spectrum in high-energy collisions
• Analytical calculations of the Quantum Tsallis thermodynamic variables