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Systematic Comparison of Tsallis Statistics for Charged Pions Produced In $pp$ Collisions

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arxiv 1607.01956 v3 pith:5GHO3DKG submitted 2016-07-07 nucl-th hep-ph

A.S. Parvan , O.V. Teryaev , J. Cleymans This is my paper · ORCID
classification nucl-thhep-ph
keywords statisticsbeamenergiestsallisboltzmannchargedeffectiveenergy
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abstract

The energy dependence of Tsallis statistics parameters is presented for charged pions produced at beam energies ranging between 6.3 GeV and 7 TeV. It is found that deviations from Boltzmann statistics are monotonically growing with beam energy. This may be attributed to the dominance of low $x$ at higher energies leading to the power-like NLO QCD spectra for which Tsallis statistics may serve as effective theory. At the same time, for larger $x$ at lower beam energies the Gaussian falloff of transverse-momentum-dependent distributions is crucial and correspondent effective description is provided by the Boltzmann distribution.

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    Measuring the entropy of final-state hadron multiplicities in H1 data gives a Pomeron intercept of 0.322 ± 0.007, consistent with the value from inclusive DIS cross-section scaling.

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