Generalized statistical mechanics of cosmic rays: Application to positron-electron spectral indices

Yalcin G. Ç. , Beck C.

SCIENTIFIC REPORTS, cilt.8, 2018 (SCI İndekslerine Giren Dergi) identifier identifier identifier


Cosmic ray energy spectra exhibit power law distributions over many orders of magnitude that are very well described by the predictions of q-generalized statistical mechanics, based on a q-generalized Hagedorn theory for transverse momentum spectra and hard QCD scattering processes. QCD at largest center of mass energies predicts the entropic index to be q = 13/11. Here we show that the escort duality of the nonextensive thermodynamic formalism predicts an energy split of effective temperature given by Delta kT = +/- 1/10 kT(H) approximate to +/- 18 MeV, where T-H is the Hagedorn temperature. We carefully analyse the measured data of the AMS-02 collaboration and provide evidence that the predicted temperature split is indeed observed, leading to a different energy dependence of the e(+) and e(-) spectral indices. We also observe a distinguished energy scale E* approximate to 50 GeV where the e(+) and e(-) spectral indices differ the most. Linear combinations of the escort and non-escort q-generalized canonical distributions yield excellent agreement with the measured AMS-02 data in the entire energy range.