Investigation of high energy nuclear collisions using Q-entropy

Transcription

1 Investigation of high energy nuclear collisions using Q-entropy 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 Á d á m Ta k á c s International School Of Subnuclear Physics Entropy 20, 19, 88 55th course: Highlights from LHC and the other frontiers of physics June 20. This work was supported by Hungarian OTKA grant K and Wigner GPU Laboratory.

2 Particle production: from CMS, JHEP 1108 (2011) 086 2/ small to LARGE systems Most fundamental measurable quantity in ee, ep, pp, pa, AA collisions Range: 2 OM in pt, 14(!) OM 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?) ISSP - Gábor Bíró

3 Quark-gluon plasma: the matter of the early Universe Macro-thermo: Micro-thermo strongly interacting hot, dense matter (and perfect fluid) Temperature: ~1012 K Lifetime: ~fm/c??? Hadronization is still mystery Image source: Eur. Phys. J. A49 (2013) 110 Physica A 392 (2013) / ISSP - Gábor Bíró

4 Data references: identified spectra 62 GeV 200 GeV 510 GeV 900 GeV 2760 GeV 7000 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 , / 0.5 ALICE ALICE ALICE ALICE ALICE Collaboration. Collaboration. Collaboration. Collaboration. Collaboration. ISSP - Gábor Bíró Phys. Lett. B , Eur. Phys. J. C , Eur. Phys. J. C , Phys. Lett. B , Phys. Lett. B , 720.

5 Fitted pp PID hadron spectra - prediction 62 GeV 2760 GeV 200 GeV 900 GeV 7000 GeV Data/Fits are good, GeV 13 TeV: coming soon... 5/ ISSP - Gábor Bíró

6 Mass dependency of fitted q and T parameters? ~constant 6/ ~mass effect ISSP - Gábor Bíró

7 T(q-1), all energies 7/ ISSP - Gábor Bíró The parameter space is very compact We observed a tendency in CM and in mass Lets assume the following evolution:

8 The evolution of fitted q and T parameters Eur. Phys. J. A40 (2009) / ISSP - Gábor Bíró

9 Extra feature: coalescence? The partons are in equilibrium The rate of creating a particle consisting k partons is a multiplication of k T-P distributions: Since mesons consist 2 quarks and barions consist 3 quarks, the following ratio (should) be valid: J.Phys. G 36 (2009) / ISSP - Gábor Bíró

10 What can we learn from the parameters? Similar to the experimental results q depends on energy logarithmically QCD? T depends weakly on CM energy Scaling properties of mesons and baryons 10/ Identified hadron proton q1 proton ISSP - Gábor Bíró q2 q3 New Non-Extensive Fragmentation X

11 Test of the new fragmentation Similar to the experimental results q depends on energy logarithmically QCD? T depends weakly on CM energy Scaling properties of mesons and baryons 11/ Identified hadron proton q1 proton ISSP - Gábor Bíró q2 q3 New Non-Extensive Fragmentation X

12 Summary Maximizing Tsallis-entropy: thermodinamical expressions for particle spectra obtained in high energy pp 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 Physical picture from the T vs (q-1) function Similar behaviour in electron-positron, proton-nucleus and nucleus-nucleus collisions Prediction for any CM energies New Tsallis-based fragmentation 12/ ISSP - Gábor Bíró

13 ISSP 20 Erice Thank you for your attention!

14 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 (20), 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 4 (2014) ; 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: / ISSP - Gábor Bíró

15 Why do we need heavy ion collisions? Image source: 15/ Gábor Bíró

16 Why do we need heavy ion collisions? Image source: Wikipedia 16/ Image source: arxiv: Gábor Bíró

17 Different function forms Program: Fit spectra of identified hadrons measured in pp, pa and AA collisions Investigate the dependency of the fitted parameters (and other dependencies: mass, strangeness content, centrality, multiplicity...) Verification of the scale evolution Predictions for other collision energies (13-14TeV) Phys.Rev. D. 92(7) (2015) / ISSP - Gábor Bíró