christof roland / mitsqm 2004september 2004 christof roland / mit for the na49 collaboration strange...
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Christof Roland / MITSQM 2004 September 2004
Christof Roland / MITFor the NA49 Collaboration
Strange Quark Matter 2004Capetown, South Africa
Event-by-Event Fluctuations of Particle Ratios
Christof Roland / MITSQM 2004 September 2004
Ancient History…• 1st Order Phase transition <-> Large Fluctuations??
• Event-by-Event Fluctuations of the (K++K-)/(++-) ratio at 160 GeVPhys. Rev. Lett 86 1965 (2001)
• s_dyn = 2.8%• Grand canonical ensemble calculation V.Koch, S. Jeon Phys.Rev.Lett. 83 (1999) 5435 :
• s_dyn = 4%
Single Event K/Pi-Ratio
Christof Roland / MITSQM 2004 September 2004
Motivation
Energy dependence of the <K+>/< ratio
What is the energy dependence of the
fluctuation signal?
?
Christof Roland / MITSQM 2004 September 2004
The NA49 Detector
Christof Roland / MITSQM 2004 September 2004
One Event
Christof Roland / MITSQM 2004 September 2004
Event-by-Event estimationof the particle ratios
One Event:Event Ensemble:<
dE
/dx>
<d
E/d
x>
log(ptot [GeV]) log(ptot [GeV])
Probability density function:
log(ptot [GeV])
<d
E/d
x>
Fit dE/dx spectra in 4D binning
<dE/dx>
• Extract ratios with maximum likelihood fit
• Vary relative normalization of the particle species (K/,p/) in the PDF
Christof Roland / MITSQM 2004 September 2004
Extracting the Fluctuation Signal
Compare data to mixed events:
data -
mix = dynamic
Process the relative widths of the distributions: = RMS/Mean * 100 [%]
+
Dynamical Fluctuations
= 2.8%
E-by-E K/ratio
Eve
nts
+
Finite Number Statistics
Experimental Resolution
= 15.9% = 16.7%
E-by-E K/ratio
E-by-E K/ratio
Eve
nts
Eve
nts
Statistical fluctuations
=“mixed” Events
= 23.1%
E-by-E K/ratio
Eve
nts
=
“Data” Events
E-by-E K/ratio
= 23.27%
Eve
nts
Christof Roland / MITSQM 2004 September 2004
Acceptance
20 GeV: 40 GeV: 160 GeV:
Christof Roland / MITSQM 2004 September 2004
Event Selection
• Select 3% most central events at all energies• Selection based on energy of projectile spectators• Tight selection to prevent remaining centrality
dependence of K/ within the event sample
Event Statistics
Beam Energy Events Tracks/Event
Data Set 1 Data Set 2
20 GeV 140 k 58 65
30 GeV 170 k 100 115
40 GeV 160 k 141 163
80 GeV 140 k 269 321
160 GeV 120 k 450 560
Christof Roland / MITSQM 2004 September 2004
Error Estimate
• Systematic checks• dE/dx stability• Linearity of the e-by-e estimators
• Various dyn extraction methods
• All methods tested successfully on MC events
• Systematic errors from processing two data sets• Vary track selection and multiplicity per event• Data points from arithmetic mean • Systematic error from the difference in the data
points
Christof Roland / MITSQM 2004 September 2004
The E-by-E Kaon/Pion Ratio
NA49 Preliminary
NA49 Preliminary
Data Set 1160 GeV20 GeV
Christof Roland / MITSQM 2004 September 2004
The E-by-E Kaon/Pion Ratio
NA49 Preliminary
Data Set 1 Data Set 2
Christof Roland / MITSQM 2004 September 2004
The E-by-E Kaon/Pion Ratio
Increased fluctuation signal at lower beam energies
NA49 Preliminary
Christof Roland / MITSQM 2004 September 2004
The E-by-E Proton/Pion Ratio
Christof Roland / MITSQM 2004 September 2004
The E-by-E Proton/Pion Ratio
NA49 Preliminary
The e-by-e distribution of the proton/pion ratio is narrower for data than for mixed events
Effect is more pronounced at low beam energies
Christof Roland / MITSQM 2004 September 2004
The E-by-E Proton/Pion RatioGedanken Experiment:
All protons and pions from resonances
Check influence of resonances in an Event Generator
Resonance Production, Toy MC
Christof Roland / MITSQM 2004 September 2004
The UrQMD Event Generator• Process UrQMD events like data
• Generate large samples, O(30k) events
• Relative contribution of resonances changes with beam energy• K/ fluctuation signal independent of beam energy
• Weak influence of resonances • Non zero value due to energy-, strangeness conservation
• p/ fluctuation signal shows similar trend like data
Christof Roland / MITSQM 2004 September 2004
Summary
• K/ fluctuations increase towards lower beam energy• Significant enhancement over hadronic cascade model
• p/ fluctuations are negative• indicates a strong contribution from resonance decays
NA49 Preliminary NA49 Preliminary
Christof Roland / MITSQM 2004 September 2004
END
Christof Roland / MITSQM 2004 September 2004
Motivation
Energy dependence of the <K+>/< ratio
Event-by-event fluctuations of the (K++K-)/(++-) ratio
at 160 GeVPhys. Rev. Lett 86 1965 (2001)
What is the energy dependence of the fluctuation signal?
?
Christof Roland / MITSQM 2004 September 2004
Error Estimate
• Systematic checks• dE/dx stability• Linearity of the e-by-e estimators
• Various dyn extraction methods
• All methods tested successfully on MC events
• Systematic errors from processing two data sets• Vary track selection and
multiplicity per event• Data points from arithmetic mean • Systematic error from the
difference in the data points
Christof Roland / MITSQM 2004 September 2004
Results on Kaon/pion (tight)
Christof Roland / MITSQM 2004 September 2004
Results on Kaon/pion (lose)
Christof Roland / MITSQM 2004 September 2004
Results on Kaon/pion UrQMD
Christof Roland / MITSQM 2004 September 2004
Results on proton/pion(tight)
Christof Roland / MITSQM 2004 September 2004
Results on proton/pion(lose)
Christof Roland / MITSQM 2004 September 2004
Results on proton/pion URQMD
• The e-by-e proton/pion ratio for data is narrower than the mixed event distribution
Christof Roland / MITSQM 2004 September 2004
Christof Roland / MITSQM 2004 September 2004
Christof Roland / MITSQM 2004 September 2004
Christof Roland / MITSQM 2004 September 2004