Azimuthal Anisotropy
and the QGP
Yasuo MIAKE, Univ. of Tsukuba

Reasons why I love
azimuthal anisotropy
Info. on mean free path l vs. R
 Anisotropy of the coordinate space converted to that of the momentum space.
Clear origin of the signal !
Geometry is clear
From eccentricity to v2
Centrailty dependence gives good tests
Sensitivity to the early stage of collisions !

Sensitivity to the early stage
Anisotropy in coordinate space disappears quickly
Ratio of eccentricity after a time delay
Disappears quickly
è v2 senses early stage of collision

Key1; reliable R.P. determination
Wide rapidity gap from central detector
Free from other source of corr such as HBT, decays, jets & auto-corr.
Corr. between SMD(spect) and BBC(part) also confirmed
→R.P. determination from whole event wide

Key2; PID  with TOF & Aerogel
High resolution TOF and low index of 1.01 Aerogel Cherenkov
Both Tsukuba contribution

What we expected before RHIC
There is a tendency of saturation!?
Hadron cascade predicts a few %.

Surprise !
Early compilation

Large azimuthal anisotropy
Larger in higher energies.
Increase with pt and saturate

Failure of hadronic scenarios
Hadronic scenario underestimates v2 at RHIC.
 v2 ~ 1 - 2 %
System thermalized early with the mechanism other than hadronic rescatterings.

 v2 vs. Eccentricity
At low pt region,  the ratio stays ~constant
Eccentricity scaling observed in comparison of Au+Au, Cu+Cu
èScaling with eccentricity shows v2 builds up at early stage

 v2 with particle identification
Low pt region;
 v2(p) > v2(K) > v2(p)
Mass Ordering
Good agreement with hydrodynamics
Very early thermalization (0.6 fm/c) & high energy density (~20 GeV/fm3) required !
èMore from Hirano’s talk
Perfect fluid (low viscous)
What brings the system thermalization in such a short time!
èPartonic degree of freedom
Deviations at high pt region
 (> 1.5 GeV/c);
 v2(p,K) < v2(p)
Meson vs Baryon?
Other mechanism?

Mass Ordering in single spectra
Exponential in mt for low pt region
Known from AGS & SPS era
Mass ordering of slope parameters
Proof of hydrodynamical collective flow

Other surprise; baryon dominance
We had many reasons to consider > 2GeV/c is the jet region.
In peripheral, p/p ratio similar to those in ee/pp suggesting fragmentaton process.
Fragmentation process should show np < np as seen in ee/pp.
In central Au+Au, p/p ratio increases with centrality, suggesting other mechanism.

Quark recombination model (RECO)
Quarks, anti-quarks combine to form mesons and baryons from universal quark distribution, w(pt).

Proton dominance by RECO
Recombination model explains the proton dominance.

V2 from RECO
Characteristic scaling behavior

Quark number scaling observed!
Quark number scaling clearly observed in v2.
Distinct difference between Baryon Meson also seen
in RCP, yield ratio of central and peripheral coll.

Mass ordering of quarks?
Accidental OR ordering in mass of quarks?
Existence of hypersurface where QGP converted to hadrons?

Study of electron for charm
Origins of electrons
“photonic”
Dalitz decays of p0,h,r,w,
Photon conversions
“non-photonic”
Semi-leptonic decays of heavy flavored mesons
èElectron yields are consistent with those photonic + charm decays.

Charm v2 from electrons
Measure v2 of inclusive electrons
Evaluate contribution of photonic electron
Cocktail Method
Converter Method
Then, subtract !

Charm seems to flow!
Data seem to favor the flow of the charm.
If so, thermalized & flowing charm supports quark-coalescence &  formation of QGP.

Study of direct photon
Pi-zero results consistent with other mesons
No significant diff. btwn inclusive v2 and expected photon v2 from hadronic decay (pion, eta, etc)
Direct photons are from compton-like “prompt” process?

Summary of my talk
 v2 is fun!
Establishment of R.P. is great !
 v2 is even useful !
Sensitive to the early stage of collisions
Thermalization as early as 0.6 fm/c
Large azimuthal anisotropy cannot be generated with hadronic process.
Support the quark recombination model
Collectivity at parton level
Phenomenological, but universal quark distribution function!
èstatistical description of quarks èQGP
Much fun to come
Charm & photon !