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Search for the QCD critical point in ultrarelativistic ion collisions Quark matter theory group, Department of Physics, University of Athens Members of the group: N.G. Antoniou, F.K. Diakonos, A.I. Karanikas, C.N. Ktorides, X.N. Maintas (staff) Y.F. Contoyiannis, A.S. Kapoyannis, G. Mavromanolakis, E. Saridakis (postdocs) N. Davis (PhD student), G. Tsolias (Msc student) NRC Demokritos, October 2010, NUPECC

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The QCD phase diagram ( a simplified version) From R. Casalbuoni, POS CPOD2006:001 (2006); hep-ph/0610179 critical point

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Why it is important? Chiral condensation 99% of the mass of the visible world (consituent quark mass) Thermodynamic properties of the QCD vacuum Hadronization B.L.Ioffe, Physics Uspekhi 49, 1077 (2006) F. Wilczek, hep-ph/0003183

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Characteristics of the critical point Order parameters Universality class: 3-D Ising Effective action at T=T c (3 –D Ising) critical exponents: M. Stephanov, K. Rajagopal, E. Shuryak, Phys. Rev. Lett. 81, 4816 (1998) M.M. Tsypin, Phys. Rev. Lett. 73, 2015 (1994); J. Berges, N. Tetradis, C. Wetterich, Phys. Rev. Lett.77, 873 (1996) isoscalar sigma field net baryon density

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Towards a critical point phenomenology Critical QCD Effective action adapted for describing the critical state produced in ultrarelativistic ion collisions ( geometry and space time evolution ) Thermodynamics of the critical effective action-local fluctuations ( dominant instanton-like configurations, clusters with fractal geometry (D F ) ) Power-law density-density correlations ( intermittency in factorial moments (F 2 ~ M D-D F ) critical opalescence ) Critical Monte Carlo (CMC )

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Publications N.G. Antoniou, F.K. Diakonos, C.N. Ktorides and M. Lahanas : Critical events and Intermittency in nuclear collisions, Phys. Lett. B 432, 8 (1998) N.G. Antoniou, Y.F. Contoyiannis, F.K. Diakonos and C.G. Papadopoulos : Fractals at T=T c due to instantonlike configurations, Phys. Rev. Lett. 81, 4289 (1998) N.G. Antoniou, Y.F. Contoyiannis and F.K. Diakonos : The fractal geometry of critical systems, Phys. Rev. E 62, 3125 (2000) N.G. Antoniou, Y.F. Contoyiannis, F.K. Diakonos, A.I. Karanikas and C.N. Ktorides : Pion production from a critical QCD phase, Nucl. Phys. A 693, 799 (2001) N.G. Antoniou, Y.F. Contoyiannis, F.K. Diakonos and G. Mavromanolakis : Critical QCD in nuclear collisions, Nucl. Phys. A 761, 149 (2005) N.G. Antoniou, F.K. Diakonos, A.S. Kapoyannis and K.S. Kousouris: Critical opalescence in baryonic QCD matter, Phys. Rev. Lett. 97, 032002 (2006)

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The critical point in experiments with colliding nuclei Analysis scheme for the detection of the critical point in real data based on observation of local fluctuations (guide: CMC) Intermittency in transverse momentum space (F 2 (M)~ M 2φ 2 ) of: (a) dipions (π+π-) close to the production threshold (b) net baryons at midrapidity Predictions of the intermittency exponents based on CQCD: φ 2 (dipions) =2/3 ; φ 2 (net baryons)=5/6 (verified through CMC events)

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Application to NA49 A+A data (CERN-SPS) (A=p,C,Si,Pb) ( first indication of critical fluctuations in Si+Si)

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Freeze-out states of existing experimental data Indication of divergent baryon number susceptibility isothermals

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N.G. Antoniou, F.K. Diakonos and A.S. Kapoyannis: The critical endpoint of bootstrap and lattice QCD matter, Nucl. Phys. A 759, 417 (2005) N.G. Antoniou, F.K. Diakonos and E.N. Saridakis: Evolution of critical correlations at the QCD phase transition, Nucl. Phys. A 784, 536 (2007) N.G. Antoniou, F.K. Diakonos and E.N. Saridakis: Evolutionary intermittency signaling the universality class of the QCD critical point, Phys. Rev. C 78, 024908 (2008) N.G. Antoniou, F.K. Diakonos and A.S. Kapoyannis: Indication for divergent baryon- number susceptibility in QCD matter, Phys. Rev. C 81, 011901 (2010) N.G. Antoniou, F.K. Diakonos, G. Mavromanolakis and the NA49 Collaboration: Search for the QCD critical point in nuclear collisions at the CERN SPS, Phys. Rev. C 81, 064907 (2010) Publications

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Future Plans Scan both the baryonic and the isocalar sector in peripheral Pb+Pb collisions using NA49 data Study the baryonic sector in C+C Apply the same analysis in the forthcoming NA61/SHINE data

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THEORETICAL NUCLEAR PHYSICS Research program in the Department of Physics of the University of Athens since 1980 Researchers: E. Mavrommatis, F. Diakonos (permanent staff) Collaborators at intervals (2000-2010): M. Petraki, P. Papakonstantinou, P. Papachristou S. Athanassopoulos, N. Costiris, G. Pavlou, A. Dakos V. Constantoudis ( Demokritos), T. Kosmas (University of Ioannina) C.C. Moustakidis (University of Thessaloniki), I. Lagaris (University of Ioannina) J.W. Clark (Washington Univ., USA), J. Wambach, V.Yu Ponomarev (T.U., Darmstadt, Germany), O. Benhar (La Sapienza Univ., Italy), S. Fantoni (SISSA, Italy), A. Fabrocini (Pisa Univ., Italy), K.A. Gernoth (UMIST, UK), A Shebeko (Kharkov Inst., Ukraine) H. Li (Darmoth C., USA) --- THEORETICAL NUCLEAR ASTROPHYSICS --- THEORY OF MANY BODY SYSTEMS --- THEORY OF COMPLEX SYSTEMS --- ARTIFICIAL INTELLIGENCE

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Α. MICROSCOPIC THEORY OF MULTINUCLEON SYSTEMS Study of correlations (short – range, long – range, pairing, complexity – chaos) THEORETICAL NUCLEAR PHYSICS Recent work: Non linear classical model for the decay widths of isoscalar giant monopole resonances P.K. Papachristou, E. Mavrommatis, V.Constantoudis,, F.K. Diakonos, J. Wambach, Phys. Rev.C77 (2008) 044305 A CBF study of 1 0 superfluidity in dilute neutron matter G. Pavlou, E. Mavrommatis, C.C.Moustakidis, J.W. Clark, in submission B.STATISTICAL MODELING OF NUCLEAR PROPERTIES WITH METHODS FROM STATISTICAL ANALYSIS Program: Pythagoras – Artificial Intelligence Modeling Site: www.pythaim.uoa.grwww.pythaim.uoa.gr Recent work: Nuclear mass systematics by complementing the finite range droplet model with neural networks S. Athanassopoulos, E. Mavrommatis, K.A. Gernoth, J.W. Clark,in submission Decoding β-decay systematics: A global statistical model for β – half -lives N.J. Costiris, E. Mavrommatis, K.A. Gernoth, J.W. Clark, Phys. Rev.C80 (2009) 044332

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