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Systematics of Chemical Freeze-Out Daniel Cebra University of California, Davis for the STAR Collaboration Daniel Cebra 11/17/2014 CPOD2014 CPOD 2014 Bielefeld, Germany Slide Slide11ofof37 37 Exploring the Phase Diagram of QCD Matter What was known prior to the RHIC Beam Energy Scan Program? 1) High Energy Heavy-ion Collisions partonic matter 2) Highest energies transition is a cross over 3) At increased mB, there might be a first-order phase transition 4) And if so, there should be a critical point BES program searches for: • Turn-off of QGP signatures • First order phase transition • Critical point Cross-Over 2010: 62.4, 39, 11.5, 7.7 2011: 19.6, 27 GeV 2014: 14.5 GeV Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany LHC RHIC RHIC RHIC RHIC RHIC RHIC SPS RHIC SPS RHIC SPS RHIC SPS SPS AGS AGS AGS AGS AGS SIS Energy (GeV) 2760.0 200.0 130.0 62.4 39.0 27.0 19.6 17.3 14.5 12.4 11.5 8.8 7.7 7.7 6.4 4.7 4.3 3.8 3.3 2.7 2.3 Chemical Potential mB 2 24 36 73 112 156 206 229 262 299 316 383 422 422 476 573 602 638 686 752 799 Pred. Temp. (MeV) 166.0 165.9 165.8 165.3 164.2 162.6 160.0 158.6 156.2 153.1 151.6 144.4 139.6 139.6 131.7 114.6 108.8 100.6 88.9 70.4 55.8 Slide 2 of 37 Setting the Scene Using a statistical equilibrium model and the measured particle yields (p, K, p, L, X, f, W), one can estimate the location in the phase diagram. BES-I: mB = 20 – 400 MeV BES-II White Paper STAR Preliminary S.Mukhergee Chemical Potential mB (MeV) Some Lattice Gauge Theory predictions suggest that the low end of the BES-I scan one may find the critical point Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 3 of 37 ks2 signals may relate to critical behavior CPOD2014 Bielefeld, Germany Phys. Rev. Lett. 112 (2014) 32302 BES-II White Paper Daniel Cebra 11/17/2014 Several features are consistent with a softening of the equation of state Phys. Rev. Lett. 112 (2014) 162301 E. Sangaline QM2012 Low Mass excess fit with medium calculation including HG and QGP BES I – Highlights dv1/dy Several QGP signatures are seen to evolve Slide 4 of 37 BES Phase I – What have We Learned So Far? • The BES at RHIC spans a range of mB that could contain features of the QCD phase diagram. • Signatures consistent with a parton dominated regime either disappear, lose significance, or lose sufficient reach at the low energy region of the scan. • There are indicators pointing towards a softening of the equation of state which can be interpreted as evidence for a first order phase transition. • The higher moment fluctuation is sensitive to critical phenomena, but these analyses place stringent demands on the statistics. • Dilepton mass spectra show a broadening consistent with models including hadron gas and quark-gluon plasma components. What still needs to be done? We still need to complete the analysis of the identified charged particle spectra to determine location on the phase diagram Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 5 of 37 Charged Particle Spectra Particle Identification though dE/dx and TOF Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 6 of 37 Charged Particle Spectra – compare to SPS The identified particle spectra can be compared to previously published results from the SPS program There is general agreement, although the difference in collision energy effects the anti-proton yields which are rising rapidly in this energy regime. Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 7 of 37 Charged Particle Spectra – compare to SPS The identified particle spectra can be compared to previously published results from the SPS program The NA49 spectra are feeddown corrected which results in discrepancy for protons and anti-protons. Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 8 of 37 High pT Charged Particle Spectra STAR Preliminary Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Using time-of-flight and dE/dx in the relativistic rise has allowed STAR to extend the identified spectra analysis to high pT Slide 9 of 37 RCP at high pT The high pT suppression provides insights into jet quenching and parton energy loss. At lower pT, there is a rise associated with radial flow. QGP-like behavior goes away at the lowest BES energies Daniel Cebra 11/17/2014 BES-II White Paper STAR Preliminary CPOD2014 Bielefeld, Germany HIJING with jet quenching turned off Slide 10 of 37 RCP of identified particles We get further insight into the nature of the suppression by looking at RCP for identified particles Baryons and mesons show very different behavior Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 11 of 37 RCP of identified particles BES-II White Paper pQCD models show suppression at high pT for 20 and 40 GeV, but not for 10 Gev. UrQMD-Hybrid models describe the behavior below 2 GeV/c for the lower energies Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 12 of 37 Evidence of a phase transition This was seen in the search for the nuclear liquid gas phase transition Phys. Rev. Lett. 75, 1040 (1995) As new degrees of freedom open up at a phase transition, one might expect to an inflection in the rise in thermal energy with collision energy. Various variables show suggestive behavior STAR Preliminary BES-II White Paper Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 13 of 37 Slopes of the Kaon Spectra The step in the slope parameter is seen as evidence that energy is going into other channels. M. Gazdzicki arXiv:1109.3653 BES kaon slopes are not inconsistent with the NA49 data, however the exact location of the step remains ambiguous The ALICE point adds to the “step” concept STAR Preliminary Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 14 of 37 Evidence of a phase transition A similar analysis with pions shows a more gradual transition STAR Preliminary Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 15 of 37 Pion Yield Systematics NA49 data shown an inflection (kink) in the rate of increase of pion production, suggesting a opening of new degrees of freedom Onset of deconfinement. M. Gazdzicki arXiv:1109.3653 Daniel Cebra 11/17/2014 RHIC BES results are consistent, but leave the exact location of the kink ambigious STAR Preliminary CPOD2014 Bielefeld, Germany Slide 16 of 37 Pion Yield Systematics The yield increases roughly linearly with √s S.Das SQM2013 STAR Preliminary The relative difference between positive and negative pions is largest at lowest √s Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 17 of 37 p+/p- Ratio Pions are effected by the positive charge of the source stopping arXiv:1408.1369 p ( E - Vc ) 2 - m 2 2Vc / T E - Vc mt R e p E Vc ( E Vc ) 2 - m 2 arXiv:1408.1369 Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 18 of 37 Kaon Yield Systematics The is an excess of K+ due to associated production S.Das SQM2013 STAR Preliminary The K-/K+ ratio rises with √s Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 19 of 37 K/p Ratio The RHIC data are consistent with NA49, however they do not suggest as sharp a peak in the “horn” The peak in the K/p ratio is seen as evidence of the opening of the strangeness channel which may indicate the onset of deconfinement M. Gazdzicki arXiv:1109.3653 STAR Preliminary Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 20 of 37 Particle Production and Chemical Equilibrium J. Cleymans ISMD2010 Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 21 of 37 What About the System Size Dependence? It had been expected that the temperature would increase with smaller system size, which would indicate an earlier freeze-out maybe closer to the phase transition line predicted by lattice QCD. This had motivated NA61/SHINE. Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 22 of 37 System Size Dependence Cu+Cu produced an unexpected result, with mB lowering compared to Au+Au Daniel Cebra 11/17/2014 STAR Preliminary O. Mall SQM2011 Using the particle ratios from the p, K, and p and a thermal model, we can determine our location on the phase diagram STAR Preliminary We can vary system size with centrality CPOD2014 Bielefeld, Germany Slide 23 of 37 Centrality Dependence S.Das SQM2013 Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 24 of 37 Grand Canonical Fits to Ratios See Xianglei Zhu – Monday 15:30 S.Das SQM2013 Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 25 of 37 Grand Canonical Fits to Ratios For central data, the GCE fits to the particle ratios give freeze-out conditions that are consistent the world trends (Cleymans, Andronic). STAR Preliminary S.Das SQM2013 The GCE fits suggest that for peripheral collisions there is only a small change in freeze-out temperature, but a more significant reduction in the baryon chemical potential. Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 26 of 37 Extracted Parameters -- GCE Let’s look at all four of the extracted freezeout parameters. Note also that gS for BES energies is consistent with that found at the SPS (0.862) Daniel Cebra 11/17/2014 STAR Preliminary S.Das SQM2013 Note the strong co-variance of mB and mS. These generally counter act each other. STAR Preliminary STAR Preliminary CPOD2014 Bielefeld, Germany STAR Preliminary Slide 27 of 37 GCE Fits Compared to Strangeness CE STAR Preliminary STAR Preliminary S.Das SQM2013 These comparison motivated fitting the BES data with a canonical ensemble that explicitly conserved strangeness (SCE) the apparent discrepancies are much reduced. Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 28 of 37 Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 29 of 37 Beam Energy Scan Phase II Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 30 of 37 STAR and PHENIX BES-II White Papers Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 31 of 37 Low Energy Electron Cooling at RHIC Electron Cooling can raise the luminosity by a factor of 3-10 in the range from 5 – 20 GeV RHIC with cooling and long bunches (Vz = +/- 1m) Minimum Projection Long Bunches increase luminosity by factor of 2-5 Stage I √sNN = 5-9 GeV Stage II -- 3 MeV booster cavity √sNN = 9-20 GeV BES I Performance 100 MHz SRF Gun SRF Cavity electron u-turn, delay line 58 m from IP2 Daniel Cebra 11/17/2014 11.2 m cooling section 250 kW Beam dump 11.2 m cooling section 3 MeV booster CPOD2014 cavity needed for Bielefeld, Germany 2nd stage. energy correction cavity gun Slide 32 of 37 The STAR Upgrades and BES Phase II Major improvements for BES-II EPD Upgrade: iTPC Upgrade: • Rebuilds the inner sectors of the TPC • Continuous Coverage • Improves dE/dx • Extends h coverage from 1.0 to 1.7 • Lowers pT cut-in from 125 MeV/c to 60 MeV/c Daniel Cebra 11/17/2014 EndCap TOF Upgrade: • Rapidity coverage is critical • PID at forward rapidity CPOD2014 Bielefeld, Germany • Improves trigger • Reduces background • Allows a better and independent reaction plane measurement critical to BES physics Slide 33 of 37 BES Phase II Proposal BES Phase II is planned for two 22 cryo-week runs in 2018 and 2019 √SNN (GeV) mB (MeV) 5.0 550 7.7 420 9.1 370 11.5 315 13.0 290 14.5 19.6 250 205 BES I (MEvts) --- 4.3 --- 11.7 --- 24 36 Rate(MEvts/day) 0.25 1.7 2.4 4.5 BES I L (1×1025/cm2sec) 0.13 1.5 2.1 4.0 BES II (MEvts) 100 160 230 250 300 400 3 4 6 8 11 15 14 9.5 5.0 3.0 2.5 3.0 eCooling (Factor) Beam Time (weeks) Daniel Cebra 11/17/2014 2 CPOD2014 Bielefeld, Germany Slide 34 of 37 RHIC Fixed-Target Program Should measurements below 7 GeV prove essential, a fixed target program is being developed Au+Au event at 3.9 GeV from a test in Run 14 Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 35 of 37 Aulike+Al Fixed-Target Results STAR Preliminary STAR Preliminary STAR Preliminary Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 36 of 37 Conclusions •RHIC BES-I is complete (2010 to 2014) •Results from BES-I show evidence is a change in the nature of the system •Analysis of charged particle spectra allows extraction of the yields, which can be used to determine location in the phase diagram •mB is influenced by stopping and thermalization •RHIC BES-II will run in 2018-2019 and will open up new avenues to study the phase diagram Daniel Cebra 11/17/2014 CPOD2014 Bielefeld, Germany Slide 37 of 37