Strangeness in Quark Matter

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1 Mass hierarchy and energy scaling of the Tsallis Pareto parameters in hadron productions at RHIC and LHC energies Gábor Bíró Wigner RCP of the HAS, Heavy Ion Research Group Gergely Gábor Barnaföldi Ta m á s S á n d o r B i r ó Károly Ürmössy Keming Shen Á d á m Ta k á c s 17th International Conference on Strangeness in Quark Matter July Entropy 2017, 19, 88 Poster: board 16. This work was supported by Hungarian OTKA grant K and Wigner GPU Laboratory.

2 Hadron production: from small to LARGE systems Most fundamental measurable quantity in ee, ep, pp, pa, AA collisions Also in poster session 2/ Range: 3 order of magnitude in pt, 13(!) in yield low pt (soft): Boltzmann Gibbs high pt (hard): power-law tailed (pqcd) # of particles in classical atomic matter: # of particles produced in heavy ion collisions: # of particles produced in pp collisions: Experience: all system depend on CM very similarly Final state interactions? (Hadronization?)

3 Quark-gluon plasma: the matter of the early Universe Macro-thermo Micro-thermo??? Image source: 3/

4 Quark-gluon plasma: the matter of the early Universe Macro-thermo Micro-thermo??? Image source: Eur. Phys. J. A49 (2013) 110 Physica A 392 (2013) /

5 Different function forms Fit spectra of identified hadrons measured in pp, pa and AA collisions Find proper fit function Investigate the dependency of the fitted parameters and other dependencies, such as mass, strangeness content, multiplicity Verification of the scale evolution Predictions for other collision energies (13-14TeV) For AA: double-tsallis (not discussed here) Phys.Rev. D. 92(7) (2015) /

6 Fitted pp PID hadron spectra - prediction 62 GeV 200 GeV 900 GeV Data/Fits are good, GeV 2760 GeV 6/ 7000 GeV 13 TeV: coming soon...

7 Fitted ppb PID hadron TeV Data/Fits are good, 13 TeV: coming soon... 7/

8 Mass dependency of fitted q and T parameters? 8/

9 Mass dependency of fitted q and T parameters? ~weak dependency 9/ ~mass effect

10 Mass dependency of fitted q and T parameters? ~(not so) weak dependency 10/ ~mass effect

11 T(q-1) parameter space 11/ For all CM energies: very compact Observed CM and mass tendency

12 T(q-1) parameter space 12/ For all CM energies: very compact Observed CM and mass tendency

13 T(q-1) parameter space 13/ For all CM energies: very compact Observed CM and mass tendency The parameters from multiplicity data seem to fit in this framework For the CM evolution:

14 The CM evolution of fitted q and T parameters Eur. Phys. J. A40 (2009) /

15 Extra feature: quark scaling for p+p? The partons are in equilibrium The rate of creating a particle consisting k partons is a multiplication of k T-P distributions: J.Phys. G 36 (2009) /

16 Extra feature: quark scaling for p+pb? 16/

17 Extra feature: quark scaling for p+pb? 17/

18 Summary Maximizing Tsallis-entropy: thermodinamical expressions for particle spectra obtained in high energy pp, pa and AA collisions The fluctuation of the number of particles is large Fitted Tsallis Pareto distributions describe the spectra very well The q and T parameters show a strong CM energy dependence Similar results for pa measurements Dependency on mass/strangeness content 18/

19 Me SQM 2017 Utrecht Thank you for your attention!

20 References Systematic Analysis of the Non-Extensive Statistical Approach in High Energy Particle Collisions Experiment vs. Theory, G. Bíró, G.G. Barnaföldi, T.S. Biró, K. Ürmössy, Á. Takács. Entropy 19 (2017), 88. Non-Extensive Approach to Quark Matter, T.S. Biró, G. Purcsel, K. Ürmössy, Eur.Phys.J. A40 (2009) ; arxiv: v2 Large Transverse Momenta and Tsallis Thermodynamics, J. Cleymans, M.D. Azmi, J.Phys. Conf. Ser. Vol 668 (2016), ; arxiv: v1 Disentangling Soft and Hard Hadron Yields in PbPb Collisions at snn = 2.76 ATeV, K. Ürmössy, T.S. Biró, G.G. Barnaföldi, Z. Xu, arxiv: v2 Abstract composition rule for relativistic kinetic energy in the thermodynamical limit, T.S. Biró, EPL 84 (2008) 56003; arxiv: New Entropy Formula with Fluctuating Reservoir, T.S. Biró, G.G. Barnaföldi, P. Ván, Physica A 417 (2014) 215-0; arxiv: Statistical Power Law due to Reservoir Fluctuations and the Universal Thermostat Independence Principle, T.S. Biró, P. Ván, G.G. Barnaföldi, K. Urmossy, Entropy 16 (2014) ; arxiv: A 'soft+hard' model for Pion, Kaon, and Proton Spectra and v2 measured in PbPb Collisions at $\sqrt{s}$ = 2.76ATeV, G.G. Barnaföldi, K. Ürmössy, G. Bíró, JP: CS, Vol 612 (2015); arxiv: Quark-gluon plasma connected to finite heat bath, T.S. Biró, G.G. Barnaföldi, P. Ván, Eur. Phys. J. A49 (2013) 110; arxiv: /

21 Data references: identified spectra 62 GeV 200 GeV 510 GeV 900 GeV 2760 GeV 7000 GeV 5020 GeV pt : y : PHENIX Collaboration. Phys. Rev. D , PHENIX Collaboration. Phys. Rev. C , PHENIX Collaboration. Phys. Rev. Lett , STAR Collaboration. Phys. Rev. Lett , PHENIX Collaboration. Phys. Rev. D , ALICE Collaboration, Phys.Lett. B / 0.5 ALICE ALICE ALICE ALICE ALICE ALICE Collaboration. Collaboration. Collaboration. Collaboration. Collaboration. Collaboration, Phys. Lett. B , Eur. Phys. J. C , Eur. Phys. J. C , Phys. Lett. B , Phys. Lett. B , 720. Phys.Lett. B

22 Extra feature: quark scaling? 23/

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