Non-extensivity of the QCD pT-spectra

Abstract

We establish a connection between the hadronic distributions, in protonproton collisions at very high transverse momentum pT, obtained via perturbative QCD and the Tsallis non extensive statistics. Our motivation is that while the former is expected to be valid at extremely high momentum, due to asymptotic freedom, the latter has been very successful in describing experimental spectra over a wide range of momenta. Matching the non extensive statistics with the asymptotic pT behaviour expected from QCD leads to the value of q = 1.25.

Is X(3872) a bound state? *

“…The invariant differential production rate, d 3 N/(d 2 p T dy) ≡ E p d 3 N/d 3 p with y = tanh −1 (E p /p z ) the rapidity, has the asymptotic matching corresponds to q = 1.25 [38]. While the thermodynamic interpretation is essential to link the degrees of freedom g with the production rate [39], we note that we have checked [40] that a Tsallis distribution describes accurately the results from particle Monte Carlo generators such as PYTHIA [41,42].…”

Investigating the inclusive transverse spectra in high-energy $pp$ collisions in the context of geometric scaling framework

“…where m T = m 2 π + p 2 T . The quality of the data description was subsequently corroborated by a series of similar works [60][61][62][63]. It was argued in [59] that the simplification of all complicated stochastic dynamics in hard scattering can be considered as a no hair reduction from the microscopic description to nonextensive statistical mechanics [64].…”

Investigating the inclusive transverse spectra in high-energy pp collisions in the context of geometric scaling framework

“…. The quality of the data description was subsequently corroborated by a series of similar works [66][67][68][69].…”