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Hot matter at RHIC: hot physics
at Kent, STAR, PHENIX
Given at the Physics Department, Kent State University,
Ohio.
Mikhail Kopytine
Kent State University
http://www.star.bnl.gov/~kopytin/
April 10, 2007
1
1 Outline
What:
• Motivation
• Data and future directions
• Conclusions
2
1 Outline
What:
• Motivation
• Data and future directions
• Conclusions
How:
• Focus on recent developments (2005 →)
• Place them in historical and conceptual
context
2
2 The RHIC
3
2 The RHIC
3
2 The RHIC
3
2 The RHIC
3
2 The RHIC
3
3 Au+Au collisions at RHIC...
4
3 Au+Au collisions at RHIC...
...look beautiful but messy – why make this mess?
4
3 Au+Au collisions at RHIC...
...look beautiful but messy – why make this mess? are they complex or
simple?
4
3 Au+Au collisions at RHIC...
...look beautiful but messy – why make this mess? are they complex or
simple? can we apply a perfect theory?
4
3 Au+Au collisions at RHIC...
...look beautiful but messy – why make this mess? are they complex or
simple? can we apply a perfect theory? what do we learn from them?
4
4 A perfect theory approach may work in
QED/electro-weak realm...
Expansion in powers of α ≈ 1/137, higher orders matter less...
5
4 A perfect theory approach may work in
QED/electro-weak realm...
Expansion in powers of α ≈ 1/137, higher orders matter less...
5
4 A perfect theory approach may work in
QED/electro-weak realm...
Expansion in powers of α ≈ 1/137, higher orders matter less...
5
4 A perfect theory approach may work in
QED/electro-weak realm...
Expansion in powers of α ≈ 1/137, higher orders matter less...
5
4 A perfect theory approach may work in
QED/electro-weak realm...
Expansion in powers of α ≈ 1/137, higher orders matter less...
5
4 A perfect theory approach may work in
QED/electro-weak realm...
Expansion in powers of α ≈ 1/137, higher orders matter less...
5
4 A perfect theory approach may work in
QED/electro-weak realm...
Expansion in powers of α ≈ 1/137, higher orders matter less...
5
5 Coming to QCD...
6
5 Coming to QCD...
6
5 Coming to QCD...
6
5 Coming to QCD...
6
5 Coming to QCD...
Hard to get matrix elements:
• with αS ∼ 1, comparable contributions in all orders, series converge slowly
(if at all)
6
6 E.Fermi – an extreme view: forget about matrix
elements!
E.Fermi, ”High
Energy Nuclear
Events”, Progr.
Theor. Phys. 5,
No.4, 1950
(Yukawa theory,
no QCD!)
”When two nucleons collide with
very great energy in their center of
mass system this energy will be
suddenly released in a small volume
surrounding the two nucleons. ...
Since the interactions of the pion
field are strong we may expect that
rapidly this energy will be distributed
among the various degrees of
freedom ... according to statistical
laws. ... It is realized that this
description of the phenomenon is
probably as extreme, although in the
opposite direction, as is the
perturbation theory approach.”
7
7 I.Ya.Pomeranchuk (1951), L.D.Landau (1953) – forget
about ”individual” particles!
Time evolution of non-viscous hydro with
freeze-out.
• ”Hot and dense” phase – no ”particles”,
mean free path λ ≪ L ⇒ relativistic
hydrodynamics of an ideal (non-viscous
and non-heat-conducting) liquid is
applicable.
• Free separation at temperature T ∼ mπ
and λ ∼ L, particles reappear.
8
8 QCD running coupling: ifrared slavery and asymptotic
freedom
Gross, Politzer, Wilczek
Remember ∆px∆x ≈ ¯h! Asymptotic freedom as seen in particle physics
experiments (F.Wilczek’s Nobel Lecture 2004)
9
9 Deconfinement
0
0.1
0.2
0.3
0.4
0.5
0.6
0.01 0.1 0.5
r [fm]
αqq (r,T)
912
3
lattice, T/Tc=
lattice (T=0)
Kaczmarek, Karsch, Zantow, Petreczky PRD70(074505) 2004
pQCD
1.05
1.5
6
QCD running coupling at T > Tc, showing screening of strong force, albeit at
relatively large distances.
10
10 A more intuitive picture...
11
10 A more intuitive picture...
11
10 A more intuitive picture...
Screening leads to deconfinement at high density or temperature. Analogous to
Debye screening in ordinary plasma, there is rD.
11
11 Phase transition ⇒ increase in the number of degrees of
freedom, EOS change
0.0
2.0
4.0
6.0
8.0
10.0
12.0
14.0
16.0
1.0 1.5 2.0 2.5 3.0 3.5 4.0
T/Tc
ε/T4 εSB/T4
3 flavour
2+1 flavour
2 flavour
F. Karsch Lect. Notes Phys. 583 (2002) 209 Pressure becomes excessive after
phase transition back to ordinary matter ⇒ fireball may ”explode”.
12
12 Approaches in theory
13
12 Approaches in theory
• ”Freedom”: test the nature of the medium by falsifying
perturbative predictions. High pt, ”jet tomography”,
photons, leptons. Work with a subset of specific particles or
even expect QGP itself to be ”asymptotically free” ⇒
perturbative.
13
12 Approaches in theory
• ”Freedom”: test the nature of the medium by falsifying
perturbative predictions. High pt, ”jet tomography”,
photons, leptons. Work with a subset of specific particles or
even expect QGP itself to be ”asymptotically free” ⇒
perturbative.
• ”Collectivism”: test the nature of the medium by falsifying
quasi-classical predictions. Bulk pt, collective excitation
modes (flows), correlations, hydrodynamics. Expect QGP to
be a highly-excited quasi-macroscopic system.
13
12 Approaches in theory
• ”Freedom”: test the nature of the medium by falsifying
perturbative predictions. High pt, ”jet tomography”,
photons, leptons. Work with a subset of specific particles or
even expect QGP itself to be ”asymptotically free” ⇒
perturbative.
• ”Collectivism”: test the nature of the medium by falsifying
quasi-classical predictions. Bulk pt, collective excitation
modes (flows), correlations, hydrodynamics. Expect QGP to
be a highly-excited quasi-macroscopic system.
• Lattice QCD is not considered a ”paradigm”, it’s heavy
artillery, ultima ratio regum
13
13 Coming next...
• Experimental strategies
14
13 Coming next...
• Experimental strategies
• Perturbative diagnostics
– high pt spectra (hadrons, γ)
– charm
14
13 Coming next...
• Experimental strategies
• Perturbative diagnostics
– high pt spectra (hadrons, γ)
– charm
• Quasi-classical diagnostics
– flow (hydro)
– mini-jets in the medium (dissipation ?!)
– hadro-chemistry
14
14 Strategy dilemmas in experiment
sacrifice
including leptons and gamma
rare = irrelevantphysics is in hadrons,
want
large
acceptance
to study
collective
effects
and
correlations
can
acceptance
to improve
quality of
particle ID
and
tracking
identify many particle IDs
15
14 Strategy dilemmas in experiment
PHOBOS
including leptons and gamma
rare = irrelevantphysics is in hadrons,
want
large
acceptance
to study
collective
effects
and
correlations
can
acceptance
to improve
quality of
particle ID
and
tracking
sacrifice
identify many particle IDs
15
14 Strategy dilemmas in experiment
PHOBOS
including leptons and gamma
rare = irrelevantphysics is in hadrons,
want
large
acceptance
to study
collective
effects
and
correlations
can
acceptance
to improve
quality of
particle ID
and
tracking
sacrifice
BRAHMS
identify many particle IDs
15
15 STAR — subsystems
recent Kent contributions: EEMC, ZDC SMD, computing infrastructure
16
16 STAR — strategy
17
16 STAR — strategy
PHOBOS
including leptons and gamma
rare = irrelevantphysics is in hadrons,
want
large
acceptance
to study
collective
effects
and
correlations
can
acceptance
to improve
quality of
particle ID
and
tracking
sacrifice
BRAHMS
identify many particle IDs
17
16 STAR — strategy
STAR
including leptons and gamma
rare = irrelevantphysics is in hadrons,
want
large
acceptance
to study
collective
effects
and
correlations
can
acceptance
to improve
quality of
particle ID
and
tracking
sacrifice
BRAHMSPHOBOS
identify many particle IDs
TPC is the key; relatively infrequent large events
17
17 STAR — growth
18
17 STAR — growth
18
17 STAR — growth
18
18 STAR — computing challenges
• high volume of data → 109
events next year
• distributed resources and users
Solution: distributed computing (grid).
Projects with Kent contribution:
• grid collector (event catalog) – Wei-Ming Zhang
• database API, load-balancer – Mikhail Kopytine
19
19 STAR — Particle identification — by dE/ dx
20
20 STAR — Particle identification — by topology
About 10% of a central event.
V 0
:
K0
→ π+
π−
(1)
Λ → pπ−
(2)
¯Λ → ¯pπ+
(3)
and by extension:
Σ−
→ Λπ−
(4)
Ω−
→ ΛK−
(5)
Kinks:
K±
→ µ±
ν (6)
K±
→ π±
π0
(7)
21
21 PHENIX — subsystems
22
22 PHENIX — photograph
Accepts θ = (90 ± 20)◦
, highly inhomogeneous B-field up to 0.8T.
23
23 PHENIX — strategy
24
23 PHENIX — strategy
STAR
including leptons and gamma
rare = irrelevantphysics is in hadrons,
want
large
acceptance
to study
collective
effects
and
correlations
can
acceptance
to improve
quality of
particle ID
and
tracking
sacrifice
BRAHMSPHOBOS
identify many particle IDs
24
23 PHENIX — strategy
STAR
including leptons and gamma
rare = irrelevantphysics is in hadrons,
want
large
acceptance
to study
collective
effects
and
correlations
can
acceptance
to improve
quality of
particle ID
and
tracking
sacrifice
PHENIX
BRAHMSPHOBOS
identify many particle IDs
Technologically heterogeneous, high rate, limited acceptance, +
leptons and γ
24
24 Stopping — Longitudinal expansion — Energy density
25
24 Stopping — Longitudinal expansion — Energy density
dN/dy
y
y =
1
2
ln
„
1 + v
1 − v
«
= v + O(v3
) (8)
25
24 Stopping — Longitudinal expansion — Energy density
dN/dy
y ∆
000
000
000000
000
000
000000
000
000
000
000000
111
111
111111
111
111
111111
111
111
111
111111
z
t
v+ ∆ v
z
y =
1
2
ln
„
1 + v
1 − v
«
= v + O(v3
) (8)
Bjorken:
∆y ≈ ∆v =
∆z
t
(9)
25
24 Stopping — Longitudinal expansion — Energy density
dN/dy
y ∆
000
000
000000
000
000
000000
000
000
000
000000
111
111
111111
111
111
111111
111
111
111
111111
z
t
v+ ∆ v
z
y =
1
2
ln
„
1 + v
1 − v
«
= v + O(v3
) (8)
Bjorken:
∆y ≈ ∆v =
∆z
t
(9)
E = N
d E
dy
∆y = N
d E
dy
∆z
t
(10)
ǫ(t = tform) =
E
S∆z
=
N
Stform
d E
dy
≈
dN
dy
mt
Stform
(11)
25
25 Energy density
26
25 Energy density
Np is number of participants. Energy density
> 1GeV/fm3
is believed to be adequate for the
phase transition.
26
25 Energy density
0 100 200 300
2
4
)yσxσ~PHENIX (A
)2/3
p~ NPHENIX (A
)2/3
p~ NSTAR (A
pN
130 GeV
/c]
2
[GeV/fmτBj
∈
PHENIX PRC71(2005)034908, STARnucl−ex/0311017
Np is number of participants. Energy density
> 1GeV/fm3
is believed to be adequate for the
phase transition.
26
25 Energy density
0 100 200 300
2
4
)yσxσ~PHENIX (A
)2/3
p~ NPHENIX (A
)2/3
p~ NSTAR (A
pN
130 GeV
/c]
2
[GeV/fmτBj
∈
PHENIX PRC71(2005)034908, STARnucl−ex/0311017
1 10 10
2
10
3
0
5
LHC
PHENIX [5%]
STAR [5%]
NA49 recalc. [<7%]
WA98 recalc. [5%]
E802/E917 recalc. [5%]
FOPI estimate [1%]
[GeV]NNs
)[GeV]p/(0.5Nη/dTdE
PHENIX PRC71 (2005) 034908
Np is number of participants. Energy density
> 1GeV/fm3
is believed to be adequate for the
phase transition.
26
26 High pt suppression — hadrons
27
27 High pt suppression — alternatives
RAA(pt) =
1
nevt
d2
NAA
dpt dy
Ncoll
σinel
pp
d2σpp
dpt dy
(12)
28
28 High pt suppression — hadrons — STAR and PHENIX
29
28 High pt suppression — hadrons — STAR and PHENIXR
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
Au-Au 0-10% centralAAR
d-Au min. biasdAR
= 200 GeVNNs
charged hadrons
(GeV/c)Tp
0 1 2 3 4 5 6 7 8 9 10
dAR
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
neutral pions
charged hadrons
PHENIX
29
28 High pt suppression — hadrons — STAR and PHENIXR
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
Au-Au 0-10% centralAAR
d-Au min. biasdAR
= 200 GeVNNs
charged hadrons
(GeV/c)Tp
0 1 2 3 4 5 6 7 8 9 10
dAR
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
neutral pions
charged hadrons
PHENIX
0 2
(GeV/c)Tp
4 6 8 10
0
0.5
1
1.5
2
d+Au FTPC-Au 0-20%
d+Au Minimum Bias
pT
(GeV/c)
Au+Au Central
RAB
(pT
)
STAR
29
29 High pt suppression — photons — spectra
(GeV/c)Tp
0 2 4 6 8 10 12 14 16 18
−25
10
−22
10
−19
10
−16
10
−13
10
−10
10
−7
10
−4
10
−1
10
2
10
PHENIXPRL94,232301(2005)
3
MinBias x 10
0
0 −10% x 10
−2
10−20% x 10
−4
20−30% x 10
−6
30−40% x 10
−8
40−50% x 10
−10
50−60% x 10
−12
60−70% x 10
−14
70−80% x 10
−16
80−92% x 10
200 GeV Au+Au Direct Photon
> scaled NLO pQCDcoll<N
dyTdpevtNTpπ2
γN2
1d2
(c/GeV)
Binary-collision scaled pQCD gets it
right
part
N
0 50 100 150 200 250 300 350
>6.0GeV/c)T(pAAR
0
0.5
1
1.5
2 200 GeV Au+Au Direct Photon
0π200 GeV Au+Au
PRL 94, 232301 (2005)
PHENIX
Photons are produced in participant
NN collisions with no initial state
modification. The high pt
suppression in hadronic sector is not
an initial state effect.
30
30 Charm
31
30 Charm
Matsui, Satz
mechanism of J/Ψ
suppression. PLB
178:416, 1986.
31
30 Charm
Matsui, Satz
mechanism of J/Ψ
suppression. PLB
178:416, 1986.
0
0.2
0.4
0.6
0.8
1 1.5 2
T/Tc
r [fm]
J/Ψ
Ψ’
χc
Y
Y’
χb
rD
rmed
Karsch Ericeira 2005
Open/closed SU(3)/SU(2); for r > rmed the q¯q force
is strongly modified by the colored medium; rD is
the Debye screening radius. Horizontal lines areq
r2
q¯q for charmonium states.
31
31 PHENIX — sources of electrons
32
31 PHENIX — sources of electrons
photonic (calibrated out using γ converter of known thickness):
π0
→ γe+
e−
→ γ − conversion (13)
η, η′
, ρ, ω, φ → π0
→ γe+
e−
→ γ − conversion (14)
32
31 PHENIX — sources of electrons
photonic (calibrated out using γ converter of known thickness):
π0
→ γe+
e−
→ γ − conversion (13)
η, η′
, ρ, ω, φ → π0
→ γe+
e−
→ γ − conversion (14)
non-photonic (wanted):
D+
→ e+
X (15)
D0
→ e+
X (16)
B → (17)
non-photonic (unwanted):
K → πeν (18)
(GEANT)
ρ, ω, φ → e+
e−
(19)
mt scaling of measured π0
spectra
32
32 PHENIX — non-photonic single electrons
33
32 PHENIX — non-photonic single electrons
(GeV/c)Tp
0 0.5 1 1.5 2 2.5 3 3.5 4
]
2
dy[(c/GeV)T)dN/dpTpπ(1/2
10
−8
10
−7
10
−6
10
−5
10
−4
10
−3
10
−2
10
−1
1
10
10
2
10
3
=200GeVNNs)/2 + X @−
+e
+
(e→Au+Au
min. bias
3
10×0 − 10 %
2
10×10 − 20 %
1
10×20 − 40 %
−1
10×40 − 60 %
−2
10×60 − 92 %
Best fit curve of pp
PHENIX PRL94, 082301 (2005)
33
32 PHENIX — non-photonic single electrons
(GeV/c)Tp
0 0.5 1 1.5 2 2.5 3 3.5 4
]
2
dy[(c/GeV)T)dN/dpTpπ(1/2
10
−8
10
−7
10
−6
10
−5
10
−4
10
−3
10
−2
10
−1
1
10
10
2
10
3
=200GeVNNs)/2 + X @−
+e
+
(e→Au+Au
min. bias
3
10×0 − 10 %
2
10×10 − 20 %
1
10×20 − 40 %
−1
10×40 − 60 %
−2
10×60 − 92 %
Best fit curve of pp
PHENIX PRL94, 082301 (2005)
coll
N
0 200 400 600 800 1000 1200
Coll
/dy/NedN
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
−4
x10
(mb)AA
/dy/TedN
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
−2
x10
centrality binned
min−bias
= 200 GeVsp + p at
<4.0)T(0.8<p
<4.0)T(0.8<p
PHENIX PRL94, 082301 (2005)
Believed to come from open heavy
flavor decays, non-photonic electrons
do not show high pt suppression: the
spectra scale with binary collisions.
33
33 Future of charm: STAR Heavy Flavor Tracker
• charm production for J/Ψ signature
• clarify charm RAA story
• elliptic flow of D mesons – is flow partonic ? is c part of it ?
cτ ∝ 100 − 300µm. Reduce combinatorics by vertex-finding. 10 µm resolution.
34
34 Azimuthal asymmetry — flow
(x, y) anisotropy → rescattering →
(px, py) anisotropy
35
34 Azimuthal asymmetry — flow
(x, y) anisotropy → rescattering →
(px, py) anisotropy
E
d3
N
d3p
=
1
2π
d2
N
pt dpt dy
{1 +
∞X
m=1
2vm cos[m(φ − Ψr)]} (20)
• flow starts early – perhaps before hydro is applicable (stopping stage)
• testifies to equilibration
• sensitive to pressure and density gradients
• flow is a multiparticle effect; there is “non-flow”
35
35 Directed flow — Importance of impact vector
36
35 Directed flow — Importance of impact vector
E
d3
N
d3p
=
1
2π
d2
N
pt dpt dy
{1 +
∞X
m=1
2vm cos[m(φ − Ψr)]} (21)
for v1, need to know 0 ≤ Ψr < 2π:
36
35 Directed flow — Importance of impact vector
E
d3
N
d3p
=
1
2π
d2
N
pt dpt dy
{1 +
∞X
m=1
2vm cos[m(φ − Ψr)]} (21)
for v1, need to know 0 ≤ Ψr < 2π:
36
35 Directed flow — Importance of impact vector
E
d3
N
d3p
=
1
2π
d2
N
pt dpt dy
{1 +
∞X
m=1
2vm cos[m(φ − Ψr)]} (21)
for v1, need to know 0 ≤ Ψr < 2π:
need to be able to distinguish the two !
36
36 Directed flow — STAR ZDC SMD
37
36 Directed flow — STAR ZDC SMD
n
+−
DX
ZDC
SMD
p,n
h
37
36 Directed flow — STAR ZDC SMD
7 vertical and 8 horizontal SMD slats at 1/3 of ZDC depth measure transverse
asymmetry of spectator neutrons
37
36 Directed flow — STAR ZDC SMD
• effort spearheaded by Kent people
• besides flow, contributes to strangelet search, UPC and spin physics
37
37 Directed flow
38
37 Directed flow
n
+−
DX
ZDC
SMD
p,n
h
38
37 Directed flow
beam(or y) − yη
−5 −4 −3 −2 −1 0
(%)1v
−6
−5
−4
−3
−2
−1
0
1
2
= 62 GeVNNsSTAR:
= 200 GeVNNsSTAR:
= 17.2 GeVNNsNA49:
beam fragments
(ZDC SMD)
STAR PRC 73 (2006) 034903
n
+−
DX
ZDC
SMD
p,n
h
38
37 Directed flow
beam(or y) − yη
−5 −4 −3 −2 −1 0
(%)1v
−6
−5
−4
−3
−2
−1
0
1
2
= 62 GeVNNsSTAR:
= 200 GeVNNsSTAR:
= 17.2 GeVNNsNA49:
beam fragments
(ZDC SMD)
STAR PRC 73 (2006) 034903
n
+−
DX
ZDC
SMD
p,n
h
Charged-particles v1 from 3-particle cumulants in the projectile frame.
• monotonic around midrapidity
• Supports limiting fragmentation
• Antiflow !
38
38 Elliptic flow and hydro fluidity
39
38 Elliptic flow and hydro fluidity
)
-2
dN/dy 1/S ( fm
0 5 10 15 20 25 30
ε/2v
-0.05
0
0.05
0.1
0.15
0.2
0.25
HYDRO limits
= 130 GeVNN
S√
= 17 GeVNN
S√
E877
NA49
STAR
STAR PRC66 (2002) 034904
(cumulant v2). Hydro limits by
Kolb, Sollfrank, Heinz, PRC62
(2000) 054909.
39
38 Elliptic flow and hydro fluidity
)
-2
dN/dy 1/S ( fm
0 5 10 15 20 25 30
ε/2v
-0.05
0
0.05
0.1
0.15
0.2
0.25
HYDRO limits
= 130 GeVNN
S√
= 17 GeVNN
S√
E877
NA49
STAR
STAR PRC66 (2002) 034904
(cumulant v2). Hydro limits by
Kolb, Sollfrank, Heinz, PRC62
(2000) 054909.
• v2 is a response to excentricity
ε = (y2 − x2)/(y2 + x2)
• low viscosity ⇐⇒ high
cross-sections ! ”sQGP”.
39
39 Elliptic flow and quark coalescence/n2vData/Fit
/n (GeV/c)tp
0
0.05
Polynomial Fit
−π++π
0
SK
−
+K+
K
pp+
Λ+Λ
0 1 2
0.5
1
1.5
STAR
STAR PRC 72 (2005) 014904
dN
dφ
∝ 1 + 2v2 cos(2φ) (22)
dNclscnc,n
dφ
(pt) ∝
„
dN(pt
n
)
dφ
«n
(23)
(1 + 2v2 cos(2φ))n
= (24)
1 + 2v2n cos(2φ) + O(v2
2)
STAR AuAu 200 GeV minbas; n is number of constituent quarks. Expect
universality if quark coalescence dominates hadronization after the universal
flow sets in. Valid at pt/n > 0.6 GeV/c for K0
S,K±
,p,¯p,Λ,¯Λ.
40
40 Local hadron density fluctuations and Discrete Wavelet
Transform (DWT)
41
40 Local hadron density fluctuations and Discrete Wavelet
Transform (DWT)
41
40 Local hadron density fluctuations and Discrete Wavelet
Transform (DWT)
41
40 Local hadron density fluctuations and Discrete Wavelet
Transform (DWT)
41
40 Local hadron density fluctuations and Discrete Wavelet
Transform (DWT)
Fλ
m,l,k(φ, η)–Haar wavelet orthonormal basis in (φ, η). scale fineness (m),
directional modes of sensitivity (λ), track density ρ(η, φ, pt), locations in
2D (l, k). DWT is an expansion in this basis.
41
40 Local hadron density fluctuations and Discrete Wavelet
Transform (DWT)
Fλ
m,l,k(φ, η)–Haar wavelet orthonormal basis in (φ, η). scale fineness (m),
directional modes of sensitivity (λ), track density ρ(η, φ, pt), locations in
2D (l, k). DWT is an expansion in this basis.
Power of local fluctuations, mode λ:
Pλ
(m) = 2−2m
X
l,k
ρ, Fλ
m,l,k
2
(25)
41
40 Local hadron density fluctuations and Discrete Wavelet
Transform (DWT)
Fλ
m,l,k(φ, η)–Haar wavelet orthonormal basis in (φ, η). scale fineness (m),
directional modes of sensitivity (λ), track density ρ(η, φ, pt), locations in
2D (l, k). DWT is an expansion in this basis.
Power of local fluctuations, mode λ:
Pλ
(m) = 2−2m
X
l,k
ρ, Fλ
m,l,k
2
(25)
“dynamic texture”:
Pλ
dyn(m) ≡ Pλ
true(m) − Pλ
mix(m) (26)
41
40 Local hadron density fluctuations and Discrete Wavelet
Transform (DWT)
Fλ
m,l,k(φ, η)–Haar wavelet orthonormal basis in (φ, η). scale fineness (m),
directional modes of sensitivity (λ), track density ρ(η, φ, pt), locations in
2D (l, k). DWT is an expansion in this basis.
Power of local fluctuations, mode λ:
Pλ
(m) = 2−2m
X
l,k
ρ, Fλ
m,l,k
2
(25)
“dynamic texture”:
Pλ
dyn(m) ≡ Pλ
true(m) − Pλ
mix(m) (26)
Normalized:
Pλ
dyn(m)/Pλ
mix(m)/n(pt) (27)
41
41 Longitudinal minijet broadening – wavelet-based
technique
0
0.05
0.1
x 10
−2
10
−1
1
P
λdyn/P
λmix/N
ηφ mode
δη=1
δφ=π
10
−1
1
pt (GeV/c)
φ mode
δη=1/2
δφ=π/2
10
−1
1
η mode
δη=1
δφ=π
STAR PRC71 (2005) 031901 (R)
Central events: normalized dynamic texture for fineness scales m = 0, 1, 0 from
left to right panels, respectively, as a function of pt. 000
000
000
000
111
111
111
111
STAR data; solid line –
Hijing without jet quenching; dashed line – Hijing with quenching; peripheral
STAR data renormalized to compare.
42
42 Longitudinal minijet broadening – traditional technique
r(p1, p2) ≡ ρsib(p1, p2)/ρmix(p1, p2). (28)
43
42 Longitudinal minijet broadening – traditional technique
r(p1, p2) ≡ ρsib(p1, p2)/ρmix(p1, p2). (28)
(a)
φ∆
N(r−1)
η
∆
(b)
φ∆
N(r−1)
η
∆
(c)
φ∆
N(r−1)
η
∆
(d)
φ∆
N(r−1)
η
∆
φ∆
N(r−1)
η
∆
000
000
000000
000
111
111
111111
111
000
000
000000
000
111
111
111111
111
000
000
000000
000
111
111
111111
111
000
000
000000
000
111
111
111111
111
000
000
000000
000
111
111
111111
111
000
000
000000
000
111
111
111111
111
0000
0000
00000000
0000
1111
1111
11111111
1111
000
000
000000
000
111
111
111111
111
STAR PRC73 (2006) 064907
−2
−1
0
1
2
0
2
4
−4
−3
−2
−1
0
1
2
3
4
5
6
−2
−1
0
1
2
0
2
4
−4
−3
−2
−1
0
1
2
3
4
5
6
−2
−1
0
1
2
0
2
4
−4
−3
−2
−1
0
1
2
3
4
5
6
−2
−1
0
1
2
0
2
4
−4
−3
−2
−1
0
1
2
3
4
5
6
Two-particle charge-idependent joint
correlations ¯N(ˆr − 1) on (η∆ ≡ η1 − η2,
φ∆ ≡ φ1 − φ2) for central (a) to
peripheral (d) collisions.
43
43 Connecting DWT and two-point correlation measures
44
43 Connecting DWT and two-point correlation measures
44
43 Connecting DWT and two-point correlation measures
X(t)
t
t t
t
t
t
autocorrelation
)A( ) = X(t)X( ∆∆ +
+ ∆
44
43 Connecting DWT and two-point correlation measures
X(t)
t
t t
t
t
t
autocorrelation
)A( ) = X(t)X( ∆∆ +
+ ∆
−0.4
−0.2
0.2
0.4
0.6
0.8
−2 −1 1 2
W(
t
)∆t
∆
44
43 Connecting DWT and two-point correlation measures
X(t)
t
t t
t
t
t
autocorrelation
)A( ) = X(t)X( ∆∆ +
+ ∆
−0.4
−0.2
0.2
0.4
0.6
0.8
−2 −1 1 2
W(
t
)∆t
∆
P(m) =
Z ∞
−∞
X(t∆/2)X(−t∆/2)W(t∆, m) dt∆, (29)
44
43 Connecting DWT and two-point correlation measures
X(t)
t
t t
t
t
t
autocorrelation
)A( ) = X(t)X( ∆∆ +
+ ∆
−0.4
−0.2
0.2
0.4
0.6
0.8
−2 −1 1 2
W(
t
)∆t
∆
P(m) differentiates correlation on
scale m. Minijet elongation ⇒
correlation broadening ⇔ reduced
correlation gradient ⇔ reduced
“texture”
P(m) =
Z ∞
−∞
X(t∆/2)X(−t∆/2)W(t∆, m) dt∆, (29)
44
44 Future of wavelet correlations: Kent — P.N.Lebedev —
MEPhI project
Dremin et al.,
Phys.Lett.B499:97-103,2001.
Emulsion plates exposed at
SPS.
Top image → DWT →
suppress certain scales →
inverse DWT → bottom
image.
Rings of Cherenkov gluons ?
Could determine ”dielectric
permeability” of QCD matter
at RHIC.
45
45 Resonances in hadronic matter
Markert, Torrieri, Rafelski, Campos do Jordao 2002
46
45 Resonances in hadronic matter
¯K∗0
(892) → π+
+ K−
(30)
K∗0
(892) → π−
+ K+
(31)
Λ(1520) → p + K−
(32)
Markert, Torrieri, Rafelski, Campos do Jordao 2002
46
45 Resonances in hadronic matter
¯K∗0
(892) → π+
+ K−
(30)
K∗0
(892) → π−
+ K+
(31)
Λ(1520) → p + K−
(32)
0
m=ΣE
2
−(Σp)
2
0
N
Markert, Torrieri, Rafelski, Campos do Jordao 2002
46
45 Resonances in hadronic matter
¯K∗0
(892) → π+
+ K−
(30)
K∗0
(892) → π−
+ K+
(31)
Λ(1520) → p + K−
(32)
0
m=ΣE
2
−(Σp)
2
0
N
Markert, Torrieri, Rafelski, Campos do Jordao 2002
46
45 Resonances in hadronic matter
¯K∗0
(892) → π+
+ K−
(30)
K∗0
(892) → π−
+ K+
(31)
Λ(1520) → p + K−
(32)
0
m=ΣE
2
−(Σp)
2
0
N
0
m=ΣE
2
−(Σp)
2
15.00
N
?
Markert, Torrieri, Rafelski, Campos do Jordao 2002
46
46 Resonances in hadronic matter
/dychdN
-100 0 100 200 300 400 500 600 700
resonance/non-resonance
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
2.2
2.4
p+p
Au+Au
= 200 GeVNN
s x 2.9
-
K*/K
x 3.5Λ*/Σ
x 10.8Λ*/Λ
x 8.1
-
/Kφ
UrQMD
Thermalmodel
STAR PRL 97, 132301 (2006): a thermal model with rescattering. Can use
models to put limits on the system evolution time.
47
47 QGP: physical reality or a justifiable ansatz?
48
47 QGP: physical reality or a justifiable ansatz?
azimuthal
including leptons and gamma
rare = irrelevantphysics is in hadrons,
QGP
sQGP
want
large
acceptance
to study
collective
effects
and
correlations
can
acceptance
to improve
quality of
particle ID
and
tracking
sacrifice
high pt
suppression
asymmetry
identify many particle IDs
48
47 QGP: physical reality or a justifiable ansatz?
photonic HBT
including leptons and gamma
rare = irrelevantphysics is in hadrons,
QGP
sQGP
want
large
acceptance
to study
collective
effects
and
correlations
can
acceptance
to improve
quality of
particle ID
and
tracking
sacrifice
high pt
suppression
direct photons
HBT puzzle
asymmetry
azimuthal
mini−
jets
dileptons
identify many particle IDs
48
48 So what happened at RHIC ? Conclusions so far:
photonic HBT
including leptons and gamma
rare = irrelevantphysics is in hadrons,
QGP
sQGP
want
large
acceptance
to study
collective
effects
and
correlations
can
acceptance
to improve
quality of
particle ID
and
tracking
sacrifice
high pt
suppression
direct photons
HBT puzzle
asymmetry
azimuthal
mini−
jets
dileptons
identify many particle IDs
49
48 So what happened at RHIC ? Conclusions so far:
photonic HBT
including leptons and gamma
rare = irrelevantphysics is in hadrons,
QGP
sQGP
want
large
acceptance
to study
collective
effects
and
correlations
can
acceptance
to improve
quality of
particle ID
and
tracking
sacrifice
high pt
suppression
direct photons
HBT puzzle
asymmetry
azimuthal
mini−
jets
dileptons
identify many particle IDs
• first phase of the campaign: unexpectedly, a lot of action is taking place
on the South-Western front!
49
48 So what happened at RHIC ? Conclusions so far:
photonic HBT
including leptons and gamma
rare = irrelevantphysics is in hadrons,
QGP
sQGP
want
large
acceptance
to study
collective
effects
and
correlations
can
acceptance
to improve
quality of
particle ID
and
tracking
sacrifice
high pt
suppression
direct photons
HBT puzzle
asymmetry
azimuthal
mini−
jets
dileptons
identify many particle IDs
• first phase of the campaign: unexpectedly, a lot of action is taking place
on the South-Western front! (of minimum-bias hadronic correlations)
49
48 So what happened at RHIC ? Conclusions so far:
photonic HBT
including leptons and gamma
rare = irrelevantphysics is in hadrons,
QGP
sQGP
want
large
acceptance
to study
collective
effects
and
correlations
can
acceptance
to improve
quality of
particle ID
and
tracking
sacrifice
high pt
suppression
direct photons
HBT puzzle
asymmetry
azimuthal
mini−
jets
dileptons
identify many particle IDs
• first phase of the campaign: unexpectedly, a lot of action is taking place
on the South-Western front! (of minimum-bias hadronic correlations)
• QGP as a theory ansatz may have been justified by the data
49
48 So what happened at RHIC ? Conclusions so far:
photonic HBT
including leptons and gamma
rare = irrelevantphysics is in hadrons,
QGP
sQGP
want
large
acceptance
to study
collective
effects
and
correlations
can
acceptance
to improve
quality of
particle ID
and
tracking
sacrifice
high pt
suppression
direct photons
HBT puzzle
asymmetry
azimuthal
mini−
jets
dileptons
identify many particle IDs
• first phase of the campaign: unexpectedly, a lot of action is taking place
on the South-Western front! (of minimum-bias hadronic correlations)
• QGP as a theory ansatz may have been justified by the data
• to elevate QGP to the status of a discovered physical reality, need to
demonstrate uniqueness of the interpretations, embrace full gamut of the
phenomena, avoid ”confirmation bias”.
49

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Kent_2007

  • 1. Hot matter at RHIC: hot physics at Kent, STAR, PHENIX Given at the Physics Department, Kent State University, Ohio. Mikhail Kopytine Kent State University http://www.star.bnl.gov/~kopytin/ April 10, 2007 1
  • 2. 1 Outline What: • Motivation • Data and future directions • Conclusions 2
  • 3. 1 Outline What: • Motivation • Data and future directions • Conclusions How: • Focus on recent developments (2005 →) • Place them in historical and conceptual context 2
  • 9. 3 Au+Au collisions at RHIC... 4
  • 10. 3 Au+Au collisions at RHIC... ...look beautiful but messy – why make this mess? 4
  • 11. 3 Au+Au collisions at RHIC... ...look beautiful but messy – why make this mess? are they complex or simple? 4
  • 12. 3 Au+Au collisions at RHIC... ...look beautiful but messy – why make this mess? are they complex or simple? can we apply a perfect theory? 4
  • 13. 3 Au+Au collisions at RHIC... ...look beautiful but messy – why make this mess? are they complex or simple? can we apply a perfect theory? what do we learn from them? 4
  • 14. 4 A perfect theory approach may work in QED/electro-weak realm... Expansion in powers of α ≈ 1/137, higher orders matter less... 5
  • 15. 4 A perfect theory approach may work in QED/electro-weak realm... Expansion in powers of α ≈ 1/137, higher orders matter less... 5
  • 16. 4 A perfect theory approach may work in QED/electro-weak realm... Expansion in powers of α ≈ 1/137, higher orders matter less... 5
  • 17. 4 A perfect theory approach may work in QED/electro-weak realm... Expansion in powers of α ≈ 1/137, higher orders matter less... 5
  • 18. 4 A perfect theory approach may work in QED/electro-weak realm... Expansion in powers of α ≈ 1/137, higher orders matter less... 5
  • 19. 4 A perfect theory approach may work in QED/electro-weak realm... Expansion in powers of α ≈ 1/137, higher orders matter less... 5
  • 20. 4 A perfect theory approach may work in QED/electro-weak realm... Expansion in powers of α ≈ 1/137, higher orders matter less... 5
  • 21. 5 Coming to QCD... 6
  • 22. 5 Coming to QCD... 6
  • 23. 5 Coming to QCD... 6
  • 24. 5 Coming to QCD... 6
  • 25. 5 Coming to QCD... Hard to get matrix elements: • with αS ∼ 1, comparable contributions in all orders, series converge slowly (if at all) 6
  • 26. 6 E.Fermi – an extreme view: forget about matrix elements! E.Fermi, ”High Energy Nuclear Events”, Progr. Theor. Phys. 5, No.4, 1950 (Yukawa theory, no QCD!) ”When two nucleons collide with very great energy in their center of mass system this energy will be suddenly released in a small volume surrounding the two nucleons. ... Since the interactions of the pion field are strong we may expect that rapidly this energy will be distributed among the various degrees of freedom ... according to statistical laws. ... It is realized that this description of the phenomenon is probably as extreme, although in the opposite direction, as is the perturbation theory approach.” 7
  • 27. 7 I.Ya.Pomeranchuk (1951), L.D.Landau (1953) – forget about ”individual” particles! Time evolution of non-viscous hydro with freeze-out. • ”Hot and dense” phase – no ”particles”, mean free path λ ≪ L ⇒ relativistic hydrodynamics of an ideal (non-viscous and non-heat-conducting) liquid is applicable. • Free separation at temperature T ∼ mπ and λ ∼ L, particles reappear. 8
  • 28. 8 QCD running coupling: ifrared slavery and asymptotic freedom Gross, Politzer, Wilczek Remember ∆px∆x ≈ ¯h! Asymptotic freedom as seen in particle physics experiments (F.Wilczek’s Nobel Lecture 2004) 9
  • 29. 9 Deconfinement 0 0.1 0.2 0.3 0.4 0.5 0.6 0.01 0.1 0.5 r [fm] αqq (r,T) 912 3 lattice, T/Tc= lattice (T=0) Kaczmarek, Karsch, Zantow, Petreczky PRD70(074505) 2004 pQCD 1.05 1.5 6 QCD running coupling at T > Tc, showing screening of strong force, albeit at relatively large distances. 10
  • 30. 10 A more intuitive picture... 11
  • 31. 10 A more intuitive picture... 11
  • 32. 10 A more intuitive picture... Screening leads to deconfinement at high density or temperature. Analogous to Debye screening in ordinary plasma, there is rD. 11
  • 33. 11 Phase transition ⇒ increase in the number of degrees of freedom, EOS change 0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 1.0 1.5 2.0 2.5 3.0 3.5 4.0 T/Tc ε/T4 εSB/T4 3 flavour 2+1 flavour 2 flavour F. Karsch Lect. Notes Phys. 583 (2002) 209 Pressure becomes excessive after phase transition back to ordinary matter ⇒ fireball may ”explode”. 12
  • 34. 12 Approaches in theory 13
  • 35. 12 Approaches in theory • ”Freedom”: test the nature of the medium by falsifying perturbative predictions. High pt, ”jet tomography”, photons, leptons. Work with a subset of specific particles or even expect QGP itself to be ”asymptotically free” ⇒ perturbative. 13
  • 36. 12 Approaches in theory • ”Freedom”: test the nature of the medium by falsifying perturbative predictions. High pt, ”jet tomography”, photons, leptons. Work with a subset of specific particles or even expect QGP itself to be ”asymptotically free” ⇒ perturbative. • ”Collectivism”: test the nature of the medium by falsifying quasi-classical predictions. Bulk pt, collective excitation modes (flows), correlations, hydrodynamics. Expect QGP to be a highly-excited quasi-macroscopic system. 13
  • 37. 12 Approaches in theory • ”Freedom”: test the nature of the medium by falsifying perturbative predictions. High pt, ”jet tomography”, photons, leptons. Work with a subset of specific particles or even expect QGP itself to be ”asymptotically free” ⇒ perturbative. • ”Collectivism”: test the nature of the medium by falsifying quasi-classical predictions. Bulk pt, collective excitation modes (flows), correlations, hydrodynamics. Expect QGP to be a highly-excited quasi-macroscopic system. • Lattice QCD is not considered a ”paradigm”, it’s heavy artillery, ultima ratio regum 13
  • 38. 13 Coming next... • Experimental strategies 14
  • 39. 13 Coming next... • Experimental strategies • Perturbative diagnostics – high pt spectra (hadrons, γ) – charm 14
  • 40. 13 Coming next... • Experimental strategies • Perturbative diagnostics – high pt spectra (hadrons, γ) – charm • Quasi-classical diagnostics – flow (hydro) – mini-jets in the medium (dissipation ?!) – hadro-chemistry 14
  • 41. 14 Strategy dilemmas in experiment sacrifice including leptons and gamma rare = irrelevantphysics is in hadrons, want large acceptance to study collective effects and correlations can acceptance to improve quality of particle ID and tracking identify many particle IDs 15
  • 42. 14 Strategy dilemmas in experiment PHOBOS including leptons and gamma rare = irrelevantphysics is in hadrons, want large acceptance to study collective effects and correlations can acceptance to improve quality of particle ID and tracking sacrifice identify many particle IDs 15
  • 43. 14 Strategy dilemmas in experiment PHOBOS including leptons and gamma rare = irrelevantphysics is in hadrons, want large acceptance to study collective effects and correlations can acceptance to improve quality of particle ID and tracking sacrifice BRAHMS identify many particle IDs 15
  • 44. 15 STAR — subsystems recent Kent contributions: EEMC, ZDC SMD, computing infrastructure 16
  • 45. 16 STAR — strategy 17
  • 46. 16 STAR — strategy PHOBOS including leptons and gamma rare = irrelevantphysics is in hadrons, want large acceptance to study collective effects and correlations can acceptance to improve quality of particle ID and tracking sacrifice BRAHMS identify many particle IDs 17
  • 47. 16 STAR — strategy STAR including leptons and gamma rare = irrelevantphysics is in hadrons, want large acceptance to study collective effects and correlations can acceptance to improve quality of particle ID and tracking sacrifice BRAHMSPHOBOS identify many particle IDs TPC is the key; relatively infrequent large events 17
  • 48. 17 STAR — growth 18
  • 49. 17 STAR — growth 18
  • 50. 17 STAR — growth 18
  • 51. 18 STAR — computing challenges • high volume of data → 109 events next year • distributed resources and users Solution: distributed computing (grid). Projects with Kent contribution: • grid collector (event catalog) – Wei-Ming Zhang • database API, load-balancer – Mikhail Kopytine 19
  • 52. 19 STAR — Particle identification — by dE/ dx 20
  • 53. 20 STAR — Particle identification — by topology About 10% of a central event. V 0 : K0 → π+ π− (1) Λ → pπ− (2) ¯Λ → ¯pπ+ (3) and by extension: Σ− → Λπ− (4) Ω− → ΛK− (5) Kinks: K± → µ± ν (6) K± → π± π0 (7) 21
  • 54. 21 PHENIX — subsystems 22
  • 55. 22 PHENIX — photograph Accepts θ = (90 ± 20)◦ , highly inhomogeneous B-field up to 0.8T. 23
  • 56. 23 PHENIX — strategy 24
  • 57. 23 PHENIX — strategy STAR including leptons and gamma rare = irrelevantphysics is in hadrons, want large acceptance to study collective effects and correlations can acceptance to improve quality of particle ID and tracking sacrifice BRAHMSPHOBOS identify many particle IDs 24
  • 58. 23 PHENIX — strategy STAR including leptons and gamma rare = irrelevantphysics is in hadrons, want large acceptance to study collective effects and correlations can acceptance to improve quality of particle ID and tracking sacrifice PHENIX BRAHMSPHOBOS identify many particle IDs Technologically heterogeneous, high rate, limited acceptance, + leptons and γ 24
  • 59. 24 Stopping — Longitudinal expansion — Energy density 25
  • 60. 24 Stopping — Longitudinal expansion — Energy density dN/dy y y = 1 2 ln „ 1 + v 1 − v « = v + O(v3 ) (8) 25
  • 61. 24 Stopping — Longitudinal expansion — Energy density dN/dy y ∆ 000 000 000000 000 000 000000 000 000 000 000000 111 111 111111 111 111 111111 111 111 111 111111 z t v+ ∆ v z y = 1 2 ln „ 1 + v 1 − v « = v + O(v3 ) (8) Bjorken: ∆y ≈ ∆v = ∆z t (9) 25
  • 62. 24 Stopping — Longitudinal expansion — Energy density dN/dy y ∆ 000 000 000000 000 000 000000 000 000 000 000000 111 111 111111 111 111 111111 111 111 111 111111 z t v+ ∆ v z y = 1 2 ln „ 1 + v 1 − v « = v + O(v3 ) (8) Bjorken: ∆y ≈ ∆v = ∆z t (9) E = N d E dy ∆y = N d E dy ∆z t (10) ǫ(t = tform) = E S∆z = N Stform d E dy ≈ dN dy mt Stform (11) 25
  • 64. 25 Energy density Np is number of participants. Energy density > 1GeV/fm3 is believed to be adequate for the phase transition. 26
  • 65. 25 Energy density 0 100 200 300 2 4 )yσxσ~PHENIX (A )2/3 p~ NPHENIX (A )2/3 p~ NSTAR (A pN 130 GeV /c] 2 [GeV/fmτBj ∈ PHENIX PRC71(2005)034908, STARnucl−ex/0311017 Np is number of participants. Energy density > 1GeV/fm3 is believed to be adequate for the phase transition. 26
  • 66. 25 Energy density 0 100 200 300 2 4 )yσxσ~PHENIX (A )2/3 p~ NPHENIX (A )2/3 p~ NSTAR (A pN 130 GeV /c] 2 [GeV/fmτBj ∈ PHENIX PRC71(2005)034908, STARnucl−ex/0311017 1 10 10 2 10 3 0 5 LHC PHENIX [5%] STAR [5%] NA49 recalc. [<7%] WA98 recalc. [5%] E802/E917 recalc. [5%] FOPI estimate [1%] [GeV]NNs )[GeV]p/(0.5Nη/dTdE PHENIX PRC71 (2005) 034908 Np is number of participants. Energy density > 1GeV/fm3 is believed to be adequate for the phase transition. 26
  • 67. 26 High pt suppression — hadrons 27
  • 68. 27 High pt suppression — alternatives RAA(pt) = 1 nevt d2 NAA dpt dy Ncoll σinel pp d2σpp dpt dy (12) 28
  • 69. 28 High pt suppression — hadrons — STAR and PHENIX 29
  • 70. 28 High pt suppression — hadrons — STAR and PHENIXR 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Au-Au 0-10% centralAAR d-Au min. biasdAR = 200 GeVNNs charged hadrons (GeV/c)Tp 0 1 2 3 4 5 6 7 8 9 10 dAR 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 neutral pions charged hadrons PHENIX 29
  • 71. 28 High pt suppression — hadrons — STAR and PHENIXR 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Au-Au 0-10% centralAAR d-Au min. biasdAR = 200 GeVNNs charged hadrons (GeV/c)Tp 0 1 2 3 4 5 6 7 8 9 10 dAR 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 neutral pions charged hadrons PHENIX 0 2 (GeV/c)Tp 4 6 8 10 0 0.5 1 1.5 2 d+Au FTPC-Au 0-20% d+Au Minimum Bias pT (GeV/c) Au+Au Central RAB (pT ) STAR 29
  • 72. 29 High pt suppression — photons — spectra (GeV/c)Tp 0 2 4 6 8 10 12 14 16 18 −25 10 −22 10 −19 10 −16 10 −13 10 −10 10 −7 10 −4 10 −1 10 2 10 PHENIXPRL94,232301(2005) 3 MinBias x 10 0 0 −10% x 10 −2 10−20% x 10 −4 20−30% x 10 −6 30−40% x 10 −8 40−50% x 10 −10 50−60% x 10 −12 60−70% x 10 −14 70−80% x 10 −16 80−92% x 10 200 GeV Au+Au Direct Photon > scaled NLO pQCDcoll<N dyTdpevtNTpπ2 γN2 1d2 (c/GeV) Binary-collision scaled pQCD gets it right part N 0 50 100 150 200 250 300 350 >6.0GeV/c)T(pAAR 0 0.5 1 1.5 2 200 GeV Au+Au Direct Photon 0π200 GeV Au+Au PRL 94, 232301 (2005) PHENIX Photons are produced in participant NN collisions with no initial state modification. The high pt suppression in hadronic sector is not an initial state effect. 30
  • 74. 30 Charm Matsui, Satz mechanism of J/Ψ suppression. PLB 178:416, 1986. 31
  • 75. 30 Charm Matsui, Satz mechanism of J/Ψ suppression. PLB 178:416, 1986. 0 0.2 0.4 0.6 0.8 1 1.5 2 T/Tc r [fm] J/Ψ Ψ’ χc Y Y’ χb rD rmed Karsch Ericeira 2005 Open/closed SU(3)/SU(2); for r > rmed the q¯q force is strongly modified by the colored medium; rD is the Debye screening radius. Horizontal lines areq r2 q¯q for charmonium states. 31
  • 76. 31 PHENIX — sources of electrons 32
  • 77. 31 PHENIX — sources of electrons photonic (calibrated out using γ converter of known thickness): π0 → γe+ e− → γ − conversion (13) η, η′ , ρ, ω, φ → π0 → γe+ e− → γ − conversion (14) 32
  • 78. 31 PHENIX — sources of electrons photonic (calibrated out using γ converter of known thickness): π0 → γe+ e− → γ − conversion (13) η, η′ , ρ, ω, φ → π0 → γe+ e− → γ − conversion (14) non-photonic (wanted): D+ → e+ X (15) D0 → e+ X (16) B → (17) non-photonic (unwanted): K → πeν (18) (GEANT) ρ, ω, φ → e+ e− (19) mt scaling of measured π0 spectra 32
  • 79. 32 PHENIX — non-photonic single electrons 33
  • 80. 32 PHENIX — non-photonic single electrons (GeV/c)Tp 0 0.5 1 1.5 2 2.5 3 3.5 4 ] 2 dy[(c/GeV)T)dN/dpTpπ(1/2 10 −8 10 −7 10 −6 10 −5 10 −4 10 −3 10 −2 10 −1 1 10 10 2 10 3 =200GeVNNs)/2 + X @− +e + (e→Au+Au min. bias 3 10×0 − 10 % 2 10×10 − 20 % 1 10×20 − 40 % −1 10×40 − 60 % −2 10×60 − 92 % Best fit curve of pp PHENIX PRL94, 082301 (2005) 33
  • 81. 32 PHENIX — non-photonic single electrons (GeV/c)Tp 0 0.5 1 1.5 2 2.5 3 3.5 4 ] 2 dy[(c/GeV)T)dN/dpTpπ(1/2 10 −8 10 −7 10 −6 10 −5 10 −4 10 −3 10 −2 10 −1 1 10 10 2 10 3 =200GeVNNs)/2 + X @− +e + (e→Au+Au min. bias 3 10×0 − 10 % 2 10×10 − 20 % 1 10×20 − 40 % −1 10×40 − 60 % −2 10×60 − 92 % Best fit curve of pp PHENIX PRL94, 082301 (2005) coll N 0 200 400 600 800 1000 1200 Coll /dy/NedN 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 −4 x10 (mb)AA /dy/TedN 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 −2 x10 centrality binned min−bias = 200 GeVsp + p at <4.0)T(0.8<p <4.0)T(0.8<p PHENIX PRL94, 082301 (2005) Believed to come from open heavy flavor decays, non-photonic electrons do not show high pt suppression: the spectra scale with binary collisions. 33
  • 82. 33 Future of charm: STAR Heavy Flavor Tracker • charm production for J/Ψ signature • clarify charm RAA story • elliptic flow of D mesons – is flow partonic ? is c part of it ? cτ ∝ 100 − 300µm. Reduce combinatorics by vertex-finding. 10 µm resolution. 34
  • 83. 34 Azimuthal asymmetry — flow (x, y) anisotropy → rescattering → (px, py) anisotropy 35
  • 84. 34 Azimuthal asymmetry — flow (x, y) anisotropy → rescattering → (px, py) anisotropy E d3 N d3p = 1 2π d2 N pt dpt dy {1 + ∞X m=1 2vm cos[m(φ − Ψr)]} (20) • flow starts early – perhaps before hydro is applicable (stopping stage) • testifies to equilibration • sensitive to pressure and density gradients • flow is a multiparticle effect; there is “non-flow” 35
  • 85. 35 Directed flow — Importance of impact vector 36
  • 86. 35 Directed flow — Importance of impact vector E d3 N d3p = 1 2π d2 N pt dpt dy {1 + ∞X m=1 2vm cos[m(φ − Ψr)]} (21) for v1, need to know 0 ≤ Ψr < 2π: 36
  • 87. 35 Directed flow — Importance of impact vector E d3 N d3p = 1 2π d2 N pt dpt dy {1 + ∞X m=1 2vm cos[m(φ − Ψr)]} (21) for v1, need to know 0 ≤ Ψr < 2π: 36
  • 88. 35 Directed flow — Importance of impact vector E d3 N d3p = 1 2π d2 N pt dpt dy {1 + ∞X m=1 2vm cos[m(φ − Ψr)]} (21) for v1, need to know 0 ≤ Ψr < 2π: need to be able to distinguish the two ! 36
  • 89. 36 Directed flow — STAR ZDC SMD 37
  • 90. 36 Directed flow — STAR ZDC SMD n +− DX ZDC SMD p,n h 37
  • 91. 36 Directed flow — STAR ZDC SMD 7 vertical and 8 horizontal SMD slats at 1/3 of ZDC depth measure transverse asymmetry of spectator neutrons 37
  • 92. 36 Directed flow — STAR ZDC SMD • effort spearheaded by Kent people • besides flow, contributes to strangelet search, UPC and spin physics 37
  • 95. 37 Directed flow beam(or y) − yη −5 −4 −3 −2 −1 0 (%)1v −6 −5 −4 −3 −2 −1 0 1 2 = 62 GeVNNsSTAR: = 200 GeVNNsSTAR: = 17.2 GeVNNsNA49: beam fragments (ZDC SMD) STAR PRC 73 (2006) 034903 n +− DX ZDC SMD p,n h 38
  • 96. 37 Directed flow beam(or y) − yη −5 −4 −3 −2 −1 0 (%)1v −6 −5 −4 −3 −2 −1 0 1 2 = 62 GeVNNsSTAR: = 200 GeVNNsSTAR: = 17.2 GeVNNsNA49: beam fragments (ZDC SMD) STAR PRC 73 (2006) 034903 n +− DX ZDC SMD p,n h Charged-particles v1 from 3-particle cumulants in the projectile frame. • monotonic around midrapidity • Supports limiting fragmentation • Antiflow ! 38
  • 97. 38 Elliptic flow and hydro fluidity 39
  • 98. 38 Elliptic flow and hydro fluidity ) -2 dN/dy 1/S ( fm 0 5 10 15 20 25 30 ε/2v -0.05 0 0.05 0.1 0.15 0.2 0.25 HYDRO limits = 130 GeVNN S√ = 17 GeVNN S√ E877 NA49 STAR STAR PRC66 (2002) 034904 (cumulant v2). Hydro limits by Kolb, Sollfrank, Heinz, PRC62 (2000) 054909. 39
  • 99. 38 Elliptic flow and hydro fluidity ) -2 dN/dy 1/S ( fm 0 5 10 15 20 25 30 ε/2v -0.05 0 0.05 0.1 0.15 0.2 0.25 HYDRO limits = 130 GeVNN S√ = 17 GeVNN S√ E877 NA49 STAR STAR PRC66 (2002) 034904 (cumulant v2). Hydro limits by Kolb, Sollfrank, Heinz, PRC62 (2000) 054909. • v2 is a response to excentricity ε = (y2 − x2)/(y2 + x2) • low viscosity ⇐⇒ high cross-sections ! ”sQGP”. 39
  • 100. 39 Elliptic flow and quark coalescence/n2vData/Fit /n (GeV/c)tp 0 0.05 Polynomial Fit −π++π 0 SK − +K+ K pp+ Λ+Λ 0 1 2 0.5 1 1.5 STAR STAR PRC 72 (2005) 014904 dN dφ ∝ 1 + 2v2 cos(2φ) (22) dNclscnc,n dφ (pt) ∝ „ dN(pt n ) dφ «n (23) (1 + 2v2 cos(2φ))n = (24) 1 + 2v2n cos(2φ) + O(v2 2) STAR AuAu 200 GeV minbas; n is number of constituent quarks. Expect universality if quark coalescence dominates hadronization after the universal flow sets in. Valid at pt/n > 0.6 GeV/c for K0 S,K± ,p,¯p,Λ,¯Λ. 40
  • 101. 40 Local hadron density fluctuations and Discrete Wavelet Transform (DWT) 41
  • 102. 40 Local hadron density fluctuations and Discrete Wavelet Transform (DWT) 41
  • 103. 40 Local hadron density fluctuations and Discrete Wavelet Transform (DWT) 41
  • 104. 40 Local hadron density fluctuations and Discrete Wavelet Transform (DWT) 41
  • 105. 40 Local hadron density fluctuations and Discrete Wavelet Transform (DWT) Fλ m,l,k(φ, η)–Haar wavelet orthonormal basis in (φ, η). scale fineness (m), directional modes of sensitivity (λ), track density ρ(η, φ, pt), locations in 2D (l, k). DWT is an expansion in this basis. 41
  • 106. 40 Local hadron density fluctuations and Discrete Wavelet Transform (DWT) Fλ m,l,k(φ, η)–Haar wavelet orthonormal basis in (φ, η). scale fineness (m), directional modes of sensitivity (λ), track density ρ(η, φ, pt), locations in 2D (l, k). DWT is an expansion in this basis. Power of local fluctuations, mode λ: Pλ (m) = 2−2m X l,k ρ, Fλ m,l,k 2 (25) 41
  • 107. 40 Local hadron density fluctuations and Discrete Wavelet Transform (DWT) Fλ m,l,k(φ, η)–Haar wavelet orthonormal basis in (φ, η). scale fineness (m), directional modes of sensitivity (λ), track density ρ(η, φ, pt), locations in 2D (l, k). DWT is an expansion in this basis. Power of local fluctuations, mode λ: Pλ (m) = 2−2m X l,k ρ, Fλ m,l,k 2 (25) “dynamic texture”: Pλ dyn(m) ≡ Pλ true(m) − Pλ mix(m) (26) 41
  • 108. 40 Local hadron density fluctuations and Discrete Wavelet Transform (DWT) Fλ m,l,k(φ, η)–Haar wavelet orthonormal basis in (φ, η). scale fineness (m), directional modes of sensitivity (λ), track density ρ(η, φ, pt), locations in 2D (l, k). DWT is an expansion in this basis. Power of local fluctuations, mode λ: Pλ (m) = 2−2m X l,k ρ, Fλ m,l,k 2 (25) “dynamic texture”: Pλ dyn(m) ≡ Pλ true(m) − Pλ mix(m) (26) Normalized: Pλ dyn(m)/Pλ mix(m)/n(pt) (27) 41
  • 109. 41 Longitudinal minijet broadening – wavelet-based technique 0 0.05 0.1 x 10 −2 10 −1 1 P λdyn/P λmix/N ηφ mode δη=1 δφ=π 10 −1 1 pt (GeV/c) φ mode δη=1/2 δφ=π/2 10 −1 1 η mode δη=1 δφ=π STAR PRC71 (2005) 031901 (R) Central events: normalized dynamic texture for fineness scales m = 0, 1, 0 from left to right panels, respectively, as a function of pt. 000 000 000 000 111 111 111 111 STAR data; solid line – Hijing without jet quenching; dashed line – Hijing with quenching; peripheral STAR data renormalized to compare. 42
  • 110. 42 Longitudinal minijet broadening – traditional technique r(p1, p2) ≡ ρsib(p1, p2)/ρmix(p1, p2). (28) 43
  • 111. 42 Longitudinal minijet broadening – traditional technique r(p1, p2) ≡ ρsib(p1, p2)/ρmix(p1, p2). (28) (a) φ∆ N(r−1) η ∆ (b) φ∆ N(r−1) η ∆ (c) φ∆ N(r−1) η ∆ (d) φ∆ N(r−1) η ∆ φ∆ N(r−1) η ∆ 000 000 000000 000 111 111 111111 111 000 000 000000 000 111 111 111111 111 000 000 000000 000 111 111 111111 111 000 000 000000 000 111 111 111111 111 000 000 000000 000 111 111 111111 111 000 000 000000 000 111 111 111111 111 0000 0000 00000000 0000 1111 1111 11111111 1111 000 000 000000 000 111 111 111111 111 STAR PRC73 (2006) 064907 −2 −1 0 1 2 0 2 4 −4 −3 −2 −1 0 1 2 3 4 5 6 −2 −1 0 1 2 0 2 4 −4 −3 −2 −1 0 1 2 3 4 5 6 −2 −1 0 1 2 0 2 4 −4 −3 −2 −1 0 1 2 3 4 5 6 −2 −1 0 1 2 0 2 4 −4 −3 −2 −1 0 1 2 3 4 5 6 Two-particle charge-idependent joint correlations ¯N(ˆr − 1) on (η∆ ≡ η1 − η2, φ∆ ≡ φ1 − φ2) for central (a) to peripheral (d) collisions. 43
  • 112. 43 Connecting DWT and two-point correlation measures 44
  • 113. 43 Connecting DWT and two-point correlation measures 44
  • 114. 43 Connecting DWT and two-point correlation measures X(t) t t t t t t autocorrelation )A( ) = X(t)X( ∆∆ + + ∆ 44
  • 115. 43 Connecting DWT and two-point correlation measures X(t) t t t t t t autocorrelation )A( ) = X(t)X( ∆∆ + + ∆ −0.4 −0.2 0.2 0.4 0.6 0.8 −2 −1 1 2 W( t )∆t ∆ 44
  • 116. 43 Connecting DWT and two-point correlation measures X(t) t t t t t t autocorrelation )A( ) = X(t)X( ∆∆ + + ∆ −0.4 −0.2 0.2 0.4 0.6 0.8 −2 −1 1 2 W( t )∆t ∆ P(m) = Z ∞ −∞ X(t∆/2)X(−t∆/2)W(t∆, m) dt∆, (29) 44
  • 117. 43 Connecting DWT and two-point correlation measures X(t) t t t t t t autocorrelation )A( ) = X(t)X( ∆∆ + + ∆ −0.4 −0.2 0.2 0.4 0.6 0.8 −2 −1 1 2 W( t )∆t ∆ P(m) differentiates correlation on scale m. Minijet elongation ⇒ correlation broadening ⇔ reduced correlation gradient ⇔ reduced “texture” P(m) = Z ∞ −∞ X(t∆/2)X(−t∆/2)W(t∆, m) dt∆, (29) 44
  • 118. 44 Future of wavelet correlations: Kent — P.N.Lebedev — MEPhI project Dremin et al., Phys.Lett.B499:97-103,2001. Emulsion plates exposed at SPS. Top image → DWT → suppress certain scales → inverse DWT → bottom image. Rings of Cherenkov gluons ? Could determine ”dielectric permeability” of QCD matter at RHIC. 45
  • 119. 45 Resonances in hadronic matter Markert, Torrieri, Rafelski, Campos do Jordao 2002 46
  • 120. 45 Resonances in hadronic matter ¯K∗0 (892) → π+ + K− (30) K∗0 (892) → π− + K+ (31) Λ(1520) → p + K− (32) Markert, Torrieri, Rafelski, Campos do Jordao 2002 46
  • 121. 45 Resonances in hadronic matter ¯K∗0 (892) → π+ + K− (30) K∗0 (892) → π− + K+ (31) Λ(1520) → p + K− (32) 0 m=ΣE 2 −(Σp) 2 0 N Markert, Torrieri, Rafelski, Campos do Jordao 2002 46
  • 122. 45 Resonances in hadronic matter ¯K∗0 (892) → π+ + K− (30) K∗0 (892) → π− + K+ (31) Λ(1520) → p + K− (32) 0 m=ΣE 2 −(Σp) 2 0 N Markert, Torrieri, Rafelski, Campos do Jordao 2002 46
  • 123. 45 Resonances in hadronic matter ¯K∗0 (892) → π+ + K− (30) K∗0 (892) → π− + K+ (31) Λ(1520) → p + K− (32) 0 m=ΣE 2 −(Σp) 2 0 N 0 m=ΣE 2 −(Σp) 2 15.00 N ? Markert, Torrieri, Rafelski, Campos do Jordao 2002 46
  • 124. 46 Resonances in hadronic matter /dychdN -100 0 100 200 300 400 500 600 700 resonance/non-resonance 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 p+p Au+Au = 200 GeVNN s x 2.9 - K*/K x 3.5Λ*/Σ x 10.8Λ*/Λ x 8.1 - /Kφ UrQMD Thermalmodel STAR PRL 97, 132301 (2006): a thermal model with rescattering. Can use models to put limits on the system evolution time. 47
  • 125. 47 QGP: physical reality or a justifiable ansatz? 48
  • 126. 47 QGP: physical reality or a justifiable ansatz? azimuthal including leptons and gamma rare = irrelevantphysics is in hadrons, QGP sQGP want large acceptance to study collective effects and correlations can acceptance to improve quality of particle ID and tracking sacrifice high pt suppression asymmetry identify many particle IDs 48
  • 127. 47 QGP: physical reality or a justifiable ansatz? photonic HBT including leptons and gamma rare = irrelevantphysics is in hadrons, QGP sQGP want large acceptance to study collective effects and correlations can acceptance to improve quality of particle ID and tracking sacrifice high pt suppression direct photons HBT puzzle asymmetry azimuthal mini− jets dileptons identify many particle IDs 48
  • 128. 48 So what happened at RHIC ? Conclusions so far: photonic HBT including leptons and gamma rare = irrelevantphysics is in hadrons, QGP sQGP want large acceptance to study collective effects and correlations can acceptance to improve quality of particle ID and tracking sacrifice high pt suppression direct photons HBT puzzle asymmetry azimuthal mini− jets dileptons identify many particle IDs 49
  • 129. 48 So what happened at RHIC ? Conclusions so far: photonic HBT including leptons and gamma rare = irrelevantphysics is in hadrons, QGP sQGP want large acceptance to study collective effects and correlations can acceptance to improve quality of particle ID and tracking sacrifice high pt suppression direct photons HBT puzzle asymmetry azimuthal mini− jets dileptons identify many particle IDs • first phase of the campaign: unexpectedly, a lot of action is taking place on the South-Western front! 49
  • 130. 48 So what happened at RHIC ? Conclusions so far: photonic HBT including leptons and gamma rare = irrelevantphysics is in hadrons, QGP sQGP want large acceptance to study collective effects and correlations can acceptance to improve quality of particle ID and tracking sacrifice high pt suppression direct photons HBT puzzle asymmetry azimuthal mini− jets dileptons identify many particle IDs • first phase of the campaign: unexpectedly, a lot of action is taking place on the South-Western front! (of minimum-bias hadronic correlations) 49
  • 131. 48 So what happened at RHIC ? Conclusions so far: photonic HBT including leptons and gamma rare = irrelevantphysics is in hadrons, QGP sQGP want large acceptance to study collective effects and correlations can acceptance to improve quality of particle ID and tracking sacrifice high pt suppression direct photons HBT puzzle asymmetry azimuthal mini− jets dileptons identify many particle IDs • first phase of the campaign: unexpectedly, a lot of action is taking place on the South-Western front! (of minimum-bias hadronic correlations) • QGP as a theory ansatz may have been justified by the data 49
  • 132. 48 So what happened at RHIC ? Conclusions so far: photonic HBT including leptons and gamma rare = irrelevantphysics is in hadrons, QGP sQGP want large acceptance to study collective effects and correlations can acceptance to improve quality of particle ID and tracking sacrifice high pt suppression direct photons HBT puzzle asymmetry azimuthal mini− jets dileptons identify many particle IDs • first phase of the campaign: unexpectedly, a lot of action is taking place on the South-Western front! (of minimum-bias hadronic correlations) • QGP as a theory ansatz may have been justified by the data • to elevate QGP to the status of a discovered physical reality, need to demonstrate uniqueness of the interpretations, embrace full gamut of the phenomena, avoid ”confirmation bias”. 49