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Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 1 Energy Scan @ Ro Robert Pak for PHENIX Collaborati

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global observables: dN/d  and dE T /d  Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 2 No significant change in centrality dependence of dN/d  and dE T /d  distributions in energy range of 7.7 GeV Au+Au to 2.76 TeV Pb+Pb, but a significant change in magnitude, n.b., scaling factors

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Page 1: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 1Robert Pak (BNL)

Energy Scan @

Ro

Robert Pak

for PHENIX Collaboration

Page 2: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 2

Contents• RHIC is an extremely versatile collider:

– Dial back the beam energy– Change the initial amount of stuff in collision

• Probe the QCD phase diagram with:– Global observables– Invariant yields– Nuclear modification factor– Higher flow moments– Fluctuations

• Search for dramatic effects, e.g., phase boundary ending at the critical point

Robert Pak (BNL)

Page 3: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 3

global observables: dN/dh and dET/dh

Robert Pak (BNL)

No significant change in centrality dependence of dN/dh and dET/dh distributions in energy range of 7.7 GeV Au+Au to 2.76 TeV Pb+Pb,

but a significant change in magnitude, n.b., scaling factors

Page 4: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting

Bjorken energy density

Robert Pak (BNL) 4

= transverse overlap area of the nuclei determined from the Glauber model

t = formation time

n.b., dET/dh is multiplied by 1.25 to obtain dET/dy at SPS energies

eBj increases by a factor of 3.8 (11.1) going from 7.7 to 200 GeV (2.76 TeV)

Page 5: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 5

p0 invariant yields

Robert Pak (BNL)

arXiv:1204.1526v1

from power-law fits to minimum bias spectra (for pT > 4 GeV/c):

n200GeV = -8.06 ± 0.01 n62GeV = -10.60 ± 0.03 n39GeV = -13.04 ± 0.08

Page 6: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 6

xT = 2pT/√s scaling

Robert Pak (BNL)

In hard scattering region:

universal scaling function

For isolated photons from p+p collisions in Bjorken’s parton model:

neff = constant = 4.0arXiv:1205.5533v1

Page 7: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 7

xT scaling (cont)

Robert Pak (BNL)

arXiv:1204.1526v1In pQCD contributions from:• running as(Q2) • PDF (and FF) evolutionOther effects:• kT smearing• higher-twist phenomena

So neff not constant, rather:

Largest deviation for 39 and 200 GeV Au+Au comparison hard scattering not dominant source of high pT p0 in 39 GeV Au+Au collisions

to compare different beam energies.

Page 8: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 8

fractional momentum shift

Robert Pak (BNL)

TAB*(p+p)

dpT/pT

Horizontal shift of TAB-scaled p+p towards Au+Au spectrum:

Partons in 200 GeV collisions suffer largest average momentum loss

arXiv:1204.1526v1

Page 9: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 9

nuclear modification factor - RAA

Robert Pak (BNL)

PRL 101, 162301 (2008)

n.b., RAA requires p+p reference data at corresponding √s.

Page 10: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 10

√sNN dependence of RAA for p0 in Au+Au collisions

Robert Pak (BNL)

• 39 GeV data shows suppression for higher centrality only (Npart > 100)

• For pT > 6 GeV/c the 62.4 and 200 GeV data points are comparable

• Increased initial-state parton mean free paths for better agreement with data

arXiv:1204.1526v1

Page 11: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 11

particle species dependence

of RAA

Robert Pak (BNL)

protons are enhanced f (similar mass) is notin Cu+Cu or Au+Auat √sNN = 62.4 GeV

flavor dependent suppression

persists at lower beam energy

Page 12: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 12

√sNN dependence of RCP for J/y

Robert Pak (BNL)

n.b., CP denotes ratio of central to peripheral (not p+p) data

√sNN = 62.4 GeV √sNN = 39 GeV

Page 13: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 13

flowparticipants

spectators

Fig. from PRC 83, 044908 (2011)

More recently:• Generalized eccentricities for

higher flow moments:

• For smooth profile:Odd harmonics cancel out

• For “lumpy” profile:Odd harmonics persist

Page 14: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 14Robert Pak (BNL)

vn{Yn} for charged hadrons

preliminary

Page 15: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 15Robert Pak (BNL)

vn{Yn} for charged hadrons

preliminary

Page 16: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 16Robert Pak (BNL)

√sNN dependence of vn{Yn} for charged hadrons

perfect fluidity

preliminary

Page 17: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users’ Meeting 17

mesons

baryons

Robert Pak (BNL)

PRL 98, 162301 (2007)

same mass scaling pattern as seen in 200 GeV Au+Au collisions

√sNN dependence of PID v2

preliminary preliminary

Page 18: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users’ Meeting 18Robert Pak (BNL)

quark number (nq) scaling indicates partonic collective flow down to 39 GeV

Phys. Rev. Lett. 98, 162301 (2007)

mesons

baryons

PID v2/nq

preliminary preliminary

Page 19: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 19

net charge distributions

Robert Pak (BNL)

correlation length related to moments of conserved quantities including net chargecorrelation length should diverge at the critical point in the phase diagram

Page 20: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 20

net charge moments

Robert Pak (BNL)

scale as correlation length

Page 21: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 21

√sNN dependence of net charge fluctuations

Robert Pak (BNL)

Prediction that products of moments will exhibit non-monotonic behavior near the critical point is not (yet) observed

Page 22: Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration

2012 RHIC & AGS Annual Users' Meeting 22

Summary

• Smooth increase in global observables vs √sNN • Onset of hard processes at high pT from invariant

yields at each beam energy• Onset of suppression from nuclear modification

factor vs √sNN • From collective flow in Au+Au collisions:

– Higher moments indicate initial state fluctuations– Partonic flow with perfect fluidity down to 39 GeV

• No excess fluctuations observed in the net charge

Robert Pak (BNL)