Transcript Slide 1

Overview of Resonance
Production
P. Fachini
Brookhaven National Laboratory
7/18/2015
Patricia Fachini
1
Motivation
Measured Resonances
Masses and Widths
Spectra and Yields
Ratios
Outlook
7/18/2015
Patricia Fachini
2
Motivation
7/18/2015
Patricia Fachini
3
Motivation - I
• Medium modification of mass and/or width  Chiral Symmetry
Restoration, Collision Broadening and/or Phase Space?
R. Rapp and J. Wambach, Adv. Nucl. Phys. 25, 1 (2000); G. E. Brown and M. Rho, Phys. Rev. Let. 66 2720 (1991);
P. Braun-Munzinger, GSI Internal Report
+
-
π-
-
π-
ρ0
π+
+
ρ0
π-
ρ0
ρ0
π+
ρ0
+
ρ0 c = 1.3 fm
π+
• ρ0 leptonic decay channel  probes all stages of the collision
• ρ0 hadronic decay channel  probes late stages of the collision
7/18/2015
Patricia Fachini
4
Motivation - II
• Φ  information early stages of the collision
Φ c = 44 fm
• Φ  modification mass shape and width
• Φ  different production for hadronic and leptonic channels
S. Pal et al., Nucl.Phys. A707 (2002) 525-539
• Nucleon-nucleon collisions  η, ω and ρ0 at high pT  perturbative
QCD
• A+A collisions  η, ω and ρ0 at
RHIC
high pT  nuclear effects can
modify particle production
Δ++
• Δ++  mass and width modification
in medium
Hees and Rapp
Hot Quarks04
Hees and Rapp, HotQuarks04
• K*  time between chemical and
kinetic freeze-out
7/18/2015
Patricia Fachini
5
Motivation - III
π
K*
K K*
measured
π
K*
π
K*
K
K*
lost
π
K*
K
K
Chemical
freeze-out
7/18/2015
Kinetic
freeze-out
π
K K*
measured
• If resonance decays before kinetic
freeze-out  not reconstructed
due to rescattering of daughters
• K*0 (c = 4 fm) survival probability
 time between chemical and
kinetic freeze-out, source size and
pT of K*0
• Chemical freeze-out  elastic
interactions πK  K*0 πK
regenerate K*0(892) until kinetic
freeze-out
• K*0/K may reveal time between
chemical and kinetic freeze-out
Patricia Fachini
6
Measured Resonances
7/18/2015
Patricia Fachini
7
Resonance Production
B.R. ~1
c = 1.3 fm
Δ++(1232)  p π+
B.R. ~1
c = 1.6 fm
K*(892)  π K
B.R. ~1
c = 4 fm
Σ(1385)  Λ π
B.R. 0.88
c = 5.5 fm
Λ(1520)  p K
B.R. 0.45
c = 12.6 fm
Ξ(1530)  Ξ π
B.R. ~1
c = 21 fm
ω(782)  π+ π- π0
B.R. 0.89
c = 23 fm
ω(782)  π0
B.R. 0.089
c = 23 fm
Φ(1020)  K+ K-
B.R. 0.49
c = 44 fm
Φ(1020)  e+e-
B.R. 0.000296
c = 44 fm
+ π- π0
η(547)

π
7/18/2015
B.R. 0.23
Patricia Fachini
c = 167225 fm
Life Time
ρ0(770)  π+ π-
8
Δ++(1232)  p π+
B.R. ~1
STAR Preliminary
STAR Preliminary
√sNN = 200 GeV
7/18/2015
c = 1.6 fm
Patricia Fachini
√sNN = 200 GeV
9
K*(892)  π K
B.R. ~1
c = 4 fm
STAR Preliminary
STAR Preliminary
√sNN = 200 GeV
√sNN = 200 GeV
√sNN = 62 GeV
STAR Preliminary
7/18/2015
Patricia Fachini
10
Σ(1385)  Λ π
B.R. 0.88
c = 5.5 fm
Λ(1520)  p K
B.R. 0.45
c = 12.6 fm
Ξ(1530)  Ξ π
B.R. ~1
c = 21 fm
Ξ*
STAR Preliminary
Au+Au
√sNN = 200 GeV
STAR Preliminary
Λ*
√sNN = 200 GeV
Minimum Bias d+Au
STAR Preliminary
7/18/2015
Patricia Fachini
11
ω(782)  π+ π- π0
B.R. 0.89
c = 23 fm
ω(782)  π0
B.R. 0.089
c = 23 fm
η(547)  π+ π- π0
B.R. 0.23 c = 167225 fm
p+p
Au+Au
PHENIX
η,ω π+ π- π0
p+p
ω π0
ω π0
PHENIX
√sNN = 200 GeV
7/18/2015
Patricia Fachini
PHENIX
12
Φ(1020)  K+ KΦ(1020)  e+e-
B.R. 0.49
c = 44 fm
B.R. 0.000296 c = 44 fm
d+Au
PHENIX
Φ K+ KSTAR Preliminary
√sNN = 200 GeV
Au+Au
7/18/2015
Patricia Fachini
Φ e+e-
PHENIX
√sNN = 200 GeV
13
Sub-Threshold Measurements
Σ*±   + ±
K(892) (< 800 MeV)
Σ(1385) (< 400 MeV)
Al+Al
1.9 AGeV
FOPI
7/18/2015
Patricia Fachini
K*0  K+ + Al+Al
1.9 AGeV
FOPI
14
π+π- Invariant Mass Distribution from Monte Carlo
STAR Preliminary
• HIJING events with a realistic
simulation of detector response
ρ0(770)  π+ π-
sNN = 200 GeV
K0S  π+ πω(782)  (π+ π-) π0 and π+ π-
ρ0
K0S
ω
η + η’
η  (π+ π-) π0 and (π+ π-) 
η’  (π+ π-) η and (π+ π-) ρ0
K*(892)0  K π with K
misidentified as π
K*0 + K*0
misidentified
•
Use ω and K*0 shape from
HIJING to fit the data
• K*0 signal is fixed using STAR
measurement
7/18/2015
Patricia Fachini
15
ρ0(770)  π+ π-
B.R. ~1
STAR Preliminary
STAR Preliminary
20-40% dAu
0.6 ≤ pT < 0.8 GeV/c
40-100% dAu
0.6 ≤ pT < 0.8 GeV/c
√sNN = 200 GeV
√sNN = 200 GeV
STAR Preliminary
STAR Preliminary
40-80% Au+Au
0.6 ≤ pT < 0.8 GeV/c
0-20% dAu
0.6 ≤ pT < 0.8 GeV/c
√sNN = 62 GeV
7/18/2015
c = 1.3 fm
√sNN = 200 GeV
Patricia Fachini
16
Masses and Widths
7/18/2015
Patricia Fachini
17
K*  Mass and Width
STAR Preliminary
MC
PDG K*0
PDG K*±
PDG
• K*0  pT < 1 GeV 
mass shift of ~10 MeV
observed
• K*± and K*0  pT > 1
GeV  mass agrees
with PDG for all systems
within errors
• Width agrees with PDG
for all systems within
errors
• Systematic error shown
for minimum bias d+Au
200 GeV
STAR Preliminary
7/18/2015
Patricia Fachini
18
Δ++  Mass and Width
PDG
• Δ++ mass shift
observed in both
minimum bias p+p
and d+Au at √sNN =
200 GeV
• Width agrees with
PDG for both
systems within
errors
PDG
7/18/2015
Patricia Fachini
19
ω  Mass
PDG
fit
PDG
fit
7/18/2015
Patricia Fachini
• No mass shift
observed in both
minimum bias p+p
and d+Au at √sNN =
200 GeV
• Statistical error
shown
20
ρ0  Mass
STAR Preliminary
• Mass shift observed for all systems
• Towards the vacuum value at high pT?
• Systematic errors shown for Minimum Bias d+Au 200 GeV
7/18/2015
Patricia Fachini
21
ρ0  Hadronic channel  STAR (RHIC)
STAR
• Probing late of the collisions
• Mass shift ~70 MeV
7/18/2015
Patricia Fachini
22
ρ0  Dimuons channel  NA60 (SPS)
Hees and Rapp, hep-ph/0603084
• Probing all stages of the collisions
• Mass broadening
7/18/2015
Patricia Fachini
23
Hees and Rapp, hep-ph/0603084
Mass Shift in A+A
SPS
RHIC
STAR
• ~70 MeV mass shift measured by STAR in peripheral Au+Au
collisions and no apparent broadening
• Broadening measured by NA60 in central In-In collisions and no mass
shift
• Are these measurements in agreement?
• RHIC  di-lepton measurements!
7/18/2015
Patricia Fachini
24
0
ρ
7/18/2015
Mass at High-PT
Patricia Fachini
25
ρ0  Mass at High pT
•
•
•
•
•
•
•
•
•
η production fixed according to PHENIX data
K0s production fixed according to STAR data
ρ0 mass = 775.9 MeV fixed
ρ0 width = 160 MeV fixed
f0 mass = 980 MeV fixed
f0 width = 100 MeV fixed
f2 mass = 1275 MeV fixed
f2 width = 185 MeV fixed
In p+p  ω and ρ0 production are assumed to
be the same
7/18/2015
Patricia Fachini
26
ρ0  Mass at High pT
STAR Preliminary
Background
p+p 200GeV
STAR Preliminary
Central Au+Au 200GeV
• ρ0 mass at high pT  pure
relativistic BW function
• ρ0 mass at high pT 
equivalent measurement e+e• Mass shift observed at low pT
is not a detector effect!
STAR Preliminary
Minimum Bias Au+Au 200GeV
7/18/2015
Patricia Fachini
Phys. Rev. Lett. 92 (2004) 092301
27
Masses and Widths
• No mass or width modification of η, ω, Φ, Λ*, Σ* or Ξ*
• Mass shift observed for K*, Δ++ and ρ0 at low-pT 
possible explanations
– π+ π- rescattering in p+p collisions
P. Fachini et.al., J.Phys.G33:431-440,2007
– Medium modifications
R. Rapp, Nucl.Phys. A725, 254 (2003), E.V. Shuryak and G.E. Brown, Nucl. Phys. A 717 (2003) 322
– Bose-Einstein correlations
G.D. Lafferty, Z. Phys. C 60, 659 (1993); R. Rapp, Nucl.Phys. A725 (2003) 254-268
S. Pratt et al., Phys.Rev. C68 (2003) 064905
• ρ0 at high-pT  No apparent mass shift!
7/18/2015
Patricia Fachini
28
Spectra
7/18/2015
Patricia Fachini
29
Spectra-I
STAR Preliminary
STAR Preliminary
7/18/2015
Patricia Fachini
30
Spectra-II
K*0
Au+Au
√sNN = 62 GeV
STAR Preliminary
STAR Preliminary
√sNN = 200 GeV
7/18/2015
Patricia Fachini
31
Spectra-III
Φ  K+ K-
STAR Preliminary
STAR Preliminary
STAR Preliminary
7/18/2015
Patricia Fachini
32
Spectra-IV
Au+Au 62 GeV
7/18/2015
Patricia Fachini
33
Φ Production  K+K- and e+e-
e+e-
K+K-
• The leptonic channel yield is a little higher than hadronic channel
• More accurate measurement is required to confirm whether there is
branch ratio modification
7/18/2015
Patricia Fachini
34
Φ Production  K+KJ. Rafelski et al.,Phys.Rev. C72 (2005) 024905
STAR
PHENIX
STAR + PHENIX
• Φ production 
there is a factor of ~2
difference between
PHENIX and STAR!
• BRAHMS
measurement
agrees with STAR at
midrapidity
√sNN = 200 GeV
7/18/2015
Patricia Fachini
35
Ratios
7/18/2015
Patricia Fachini
36
Φ  Ratios
STAR Preliminary
• Φ/K- independent of centrality
• UrQMD does not reproduce data  kaon coalescence not the main
production mechanism for Φ!
• Φ/K- reproduced by thermal models  no rescattering (or
regeneration) due to c = 44 fm
7/18/2015
Patricia Fachini
37
Resonance to stable particle ratios
√sNN = 200 GeV
c = 1.3 fm
c = 4 fm
c = 1.6 fm
c = 12.6 fm
c = 5.5 fm
STAR Preliminary
• ρ0, Δ++ and Σ*  ratios independent of centrality or system size
• K* and Λ*  suppression compared to p+p collisions
7/18/2015
Patricia Fachini
38
Time between freeze-outs
• If rescattering is the dominant process,
- ct
N(Δt) = N0 e
- Δt
c
e
=
K*0
K- Au+Au
0.23
=
0.35
K*0
K- p+p
• And the time between chemical and kinetic freeze-out
should be Δt = 2 ± 1 fm
• If no regeneration is present  Δt = 2 ± 1 fm
• Blast-Wave fit to π±, K±, p, and p  Δt > 6 fm
7/18/2015
Patricia Fachini
39
K*  Ratios
STAR Preliminary
Statistical errors only
• K*/K- ratio in central collisions at 62 GeV and 200
GeV are comparable  same time between chemical
and kinetic freeze-outs
7/18/2015
Patricia Fachini
40
η, ω and ρ0  Ratios
η
STAR Preliminary
•
•
7/18/2015
√sNN = 200 GeV
ρ0  π+ π-
•
•
ω/π0 ratio constant for pT > 2 GeV 
lower than PYTHIA  ω/π0 = 1.0
ρ0/π- ratio constant for 5 < pT < 10
GeV  lower than PYTHIA
η/π0 ratio  comparable to PYTHIA
ω/π0 and ρ0/π- measured 
comparable
Patricia Fachini
41
Ratios
• Φ/K- independent and constant for all collision systems
 kaon coalescence not the main production
mechanism for Φ!
• Φ/K- reproduced by thermal models  no rescattering
(or regeneration) due to c = 44 fm
• ρ0, Δ++ and Σ*  ratios independent of centrality
• K* and Λ*  suppression compared to p+p collisions
• K*/K- ratio in central collisions at 62 GeV and 200 GeV
are comparable  same time between chemical and
kinetic freeze-outs
• ρ0/π- ratio constant for 5 < pT < 10 GeV  lower than
PYTHIA
• ω/π0 and ρ0/π0 measured  comparable
7/18/2015
Patricia Fachini
42
Outlook
•
What’s next?
– We need:
• Systematic study of K*0 and Δ++ mass and width in Au+Au (RUN4)
• ρ0 in central Au+Au  overwhelming combinatory background
• ρ0 in central Cu+Cu  doable…
• Λ(1520), Σ(1385), Ξ(1530)… Other higher state resonances…
• High-pT and v2 measurements of resonances
• a1  γ π±  e+e- π±
• Leptonic Channel
– Φ, ρ  Comparison between leptonic and hadronic channels
in A+A!!!
– Requires
• Large statistics
• RHIC Upgrades
– Low mass dileptons  PHENIX (HBD) and STAR (TOF)
– TOF full coverage  STAR
7/18/2015
Patricia Fachini
43
Backup Slides
7/18/2015
Patricia Fachini
44
Φ  Mass and Width
STAR Preliminary
PDG
STAR Preliminary
PDG
7/18/2015
Patricia Fachini
• pT > 1 GeV  mass and
width agree with MC and
PDG for all systems
• pT < 1 GeV  mass
agrees with MC for all
systems within errors
• pT < 1 GeV  width
higher than MC for all
systems  real physics
or detector effect?
• No significant mass or
width modification
observed
45
Elliptic Flow - I
• KS0 and Λ v2  scale number
constituent quarks  v2/n
• Resonance v2 
C. Nonaka et al., Phys.Rev. C69 (2004) 031902
– πK  K*  n = 4
– qq  K*  n = 2
• Significant K*0 v2 measured
• Fitting K*0 v2 to
X. Dong et al., Phys.Lett. B597 (2004) 328
an
v2(pT,n) =
- dn
1
+
exp[-(p
/n
–
b)/c]
Minimum Bias Au+Au 200GeV
T
a, b, c, and d  constants
extracted using KS0 and Λ v2
• K*0 v2  n= 2.0 ± 0.3
STAR Preliminary
7/18/2015
Patricia Fachini
46
Elliptic Flow - II
Au+Au 200GeV
7/18/2015
• Significant Φ v2 measured
• v2 increases with decreasing
centrality
• Φ not produced via kaon
coalescence  Φ information
from early stages  non-zero Φ
v2  s-quarks flow  Partonic
collectivity
• Intermediate pT  Φ v2
consistent with KS0 than Λ 
favors NCQ=2 
Recombination/ Coalescence
models
• Φ v2  n= 2.3 ± 0.4
Patricia Fachini
47
Elliptic Flow
• s-quarks flow as u- and d-quarks
• Φ not produced via kaon coalescence and do
not participate strongly in hadronic interactions
 evidence for partonic collectivity!
• Φ and K*  intermediate pT  formed via
quark-quark coalescence
7/18/2015
Patricia Fachini
48
Nuclear Modification Factor
• K*(892) and Φ 
mesons
• K*(892) and Φ 
mass closer to Λ
mass
• K* and Φ RCP 
intermediate pT 
closer to KS0 than Λ
 evidence for
baryon/meson effect
 favors parton
recombination
7/18/2015
Patricia Fachini
49
Φ  Ratios
Chemical freeze-out
Chemical = Kinetic
freeze-out
STAR
• Φ/K-  ratio reproduced by thermal model  Φ has long
lifetime!  not affected by rescattering (or regeneration)
7/18/2015
Patricia Fachini
50
K*  Ratios
STAR
Chemical freeze-out
Kinetic freeze-out
Chemical = Kinetic
freeze-out
• K*/K-  p+p ratio reproduced by thermal model at chemical
freeze-out  Au+Au reproduced by thermal model at
kinetic freeze-out
7/18/2015
Patricia Fachini
51
Previous Measurements?
•
•
•
•
ρ0
No detailed mass measurements
Mass integrated in pT, xF, xp
STAR measurement  ρ0 mass shifted ~40 MeV in
minimum bias p+p
• Considerably large mass shift
• Mass shift observed before!
• Previous ρ0 mass measurements  NA27, OPAL,
DELPHI, and ALEPH
NOTE: Previous experiments interested in
cross-sections and NOT in mass!
7/18/2015
Patricia Fachini
52
ρ0-meson Measured in p+p  NA27
π+πpT > 0
xF > 0
xF =
pLongitudinal
pTotal
• √s = 27.5 GeV
• The ρ0 mass obtained by fitting same
event distribution of π+π- to
BG + PS x BW = BG + BGxBW =
BG(1 + BW)
BW = Breit-Wigner
PS = BG
BG = Background
PS = Phase Space
Signal π+π- distribution after
background subtraction
Background
 exponential
function
7/18/2015
Signal
Same event distribution π+π-
Patricia Fachini
53
ρ0-meson Measured in p+p  NA27
762.6 MeV/c2
775.9 MeV/c2
“scanned version”
7/18/2015
Patricia Fachini
• CERN  √s = 27.5 GeV
• ρ0 mass = 762.6 ± 2.6
MeV/c2  only p+p
measurement used in
average by PDG
• PDG average “other
reactions” hadroproduced
 ρ0 mass = 769.0 ± 0.9
MeV/c2
• PDG average e+e(exclusive)  ρ mass =
775.9 ± 0.5 MeV/c2
 The position of the ρ0
peak is clearly below
reported value
54
ρ0-meson Measured in p+p  NA27
BW(M) =
Γ(M)
(M2 – Mρ2)2 + Mρ2 Γ(M)2
Γ(M) = Γρ
M2 –
2
4mπ
3
2
Mρ2 – 4mπ2
Mρ
M
Fitting to a p-wave BW function  M = 747.6 ± 2.0 MeV
7/18/2015
Patricia Fachini
55
ρ0-meson Measured in e+e-  LEP
√s = 90 GeV
Jetset 7.3
+ ALEPH Data
ρ0
Jetset 7.2
● OPAL Data
ρ0
7/18/2015
• OPAL  ρ0 mass shifted by ~70
MeV/c2 at low xp and no shift at high
xp (xp ~1)
E(meson)
xp =
E(beam)
• OPAL  -10 to -30 MeV/c2 shift in
the position of the maximum of the
resonance ρ±  consistent with ρ0
measurement
• DELPHI  0.1 < xp < 0.4  ρ0 peak
fit to (BWxBG) + BG  ρ0 mass =
757 ± 2 MeV/c2  five standard
deviations below PDG value
• ALEPH  same ρ0 mass shift
observed by OPAL
Patricia Fachini
56
Phase Space
M
Phase Space =
 M2 + pT2
•
•
-  M2 + pT2
e
T
π+
ρ0
π+
π-
π-
M = Invariant Mass; pT = transverse momentum; T = Inverse Slope
pp  particle composition reasonably reproduced by statistical model
 T = 160 MeV  also dAu
F. Becattini, Nucl. Phys. A 702, 336 (2002); Z. Phys. C 69, 485 (1996); F. Becattini and U. Heinz, Z.
Phys. C 76, 269 (1997)
•
Au+Au  between chemical and kinetic freeze-out  resonances
formed until particles too far apart  resonances emitted T = 120 MeV
E.V. Shuryak and G.E. Brown, Nucl. Phys. A 717 (2003) 322
BW(M) =
Γ(M)
(M2 – Mρ2)2 + Mρ2 Γ(M)2
Γ(M) = Γρ
M2 –
3
4mπ2 2
Mρ2 – 4mπ2
Mρ
M
P. Braun-Munzinger et.al., CERES Int. Note, March 2000, unpublished; E.V. Shuryak and G.E. Brown, Nucl.
Phys. A 717 (2003) 322; P.K. Kolb and M. Prakash, nucl-th/0301007; H.W. Barz et al., Phys. Lett. B 265, 219
(1991); R. Rapp, hep-ph/0305011.
7/18/2015
Patricia Fachini
57
Transport Model - UrQMD
Au+Au
b ≤ 3 fm
0
1.2 ≤ pT < 1.4 GeV/c
√sNN = 200 GeV
|y| ≤ 0.5
Au+Au
b ≤ 3 fm
ρ0
0.2 ≤ pT < 0.4 GeV/c
|y| ≤ 0.5
BW × PS
Mρ = 769 MeV/c2
•
UrQMD  Only imaginary part  No medium modification
•
Central Au+Au  ρ0 mass shifted ~30 MeV at low pT
•
ρ0 shape reproduced by p-wave Breit-Wigner × Phase Space
– Mρ= 765.6 MeV for 0.2 ≤ pT < 0.4 GeV/c
– Mρ = 761.2 MeV for 1.2 ≤ pT < 1.4 GeV/c
Г = 150 MeV
– Mρ = 769 MeV/c2 input
7/18/2015
Patricia Fachini
58
Nuclear Modification Factor
pp
2 AA
 inel d N / dpT dy
RAA ( pT ) 
2 NN
 N binary  d  / dpT dy
If no “effects”:
R < 1 in regime of soft physics
R = 1 at high-pt where hard
scattering dominates
2 central
 N peripheral

d
N
/ dpT dy
binary
RCP ( pT ) 
central
2 peripheral
 N binary  d N
/ dpT dy
7/18/2015
Patricia Fachini
59
Nuclear Modification Factor
7/18/2015
Patricia Fachini
60
Elliptic Flow  v2
• Coordinate-space-anisotropy  Momentum-space-anisotropy
y
x

y 2  x 2 
 2 2
y  x 
v 2  cos2 ,   tan (
1
py
px
)
• Nuclei Non-central Collisions  Hot System Elliptic Shape
7/18/2015
Patricia Fachini
61
Quark or Hadron Combination
v2(pT,n) =
7/18/2015
Number of constituent quarks
an
1 + exp[-(pT/n – b)/c]
- dn
Patricia Fachini
Constants extracted by fitting
the K0s and Λ v2
62
K*0 Mass and Width  pp and Au+Au √sNN = 200 GeV
|y|< 0.5
STAR Preliminary
Central
Au+Au
STAR Preliminary
Central
Au+Au
PDG value
pp
pp
PDG value
• K*0 mass  shifted in pp and Au+Au at low pT
• K*0 width  agrees with the MC (GEANT) calculation
• Systematic and statistical error added in quadrature
7/18/2015
Patricia Fachini
63
Spectra
• Change of Φ spectra
from Levy function
shape in peripheral
Au+Au to exponential in
central Au+Au collisions
 different production
mechanisms of Φ?
• Matter formed in central
Au+Au collisions favors
soft Φ production
7/18/2015
Patricia Fachini
64
Φ  Number of Participants
STAR Preliminary
STAR Preliminary
• Φ production increases with Npart (size of the collision system)
• Same Npart  production increases with collision energy
• There is still a difference in Φ production between STAR and
PHENIX
7/18/2015
Patricia Fachini
65
K*  Number of Participants
STAR Preliminary
K*
STAR Preliminary
• K* production seems to scale with Npart (size of the collision system)
for all systems
7/18/2015
Patricia Fachini
66
Φ  Ratios
STAR Preliminary
STAR Preliminary
7/18/2015
• Φ yield increases faster than π• Ratio in Au+Au enhanced
compared to p+p
• Same enhancement for
√sNN > 10 GeV  no clear
conclusion strangeness
enhancement
• Φ/K- independent of centrality
• UrQMD does not reproduce
data  kaon coalescence not
the main production
mechanism for Φ!
• Φ/K- reproduced by thermal
models  no rescattering (or
regeneration) due to c = 44 fm
Patricia Fachini
67
Spectra and Yields
• K* production scales with the size of the collision system
• Change of Φ spectra from Levy function shape in
peripheral Au+Au to exponential in central Au+Au
collisions  different production mechanisms of Φ
• Φ production increases with participant pair 
something happening towards central collisions?
• Φ  the leptonic channel yield is a little higher than
hadronic channel  more accurate measurement is
required to confirm whether there is branch ratio
modification
7/18/2015
Patricia Fachini
68
Φ and K*  Spin Alignment
• Proposed pT dependence
on different hadronization
mechanism  the
deviation from ρ00 = 1/3
are predicted to be small
 not enough sensitivity
in the data!
00( frag ) 
00( frag ) 
7/18/2015
1  Pq2
• K*0 (0.8<pT<5.0 GeV/c)
ρ00 = 0.33 ± 0.04 ± 0.12
3  Pq2
1  Pq2
3  Pq2
 00( rec ) 
1  Pq2
3  Pq2
Patricia Fachini
• Φ (0.4<pT<5.0 GeV/c)
ρ00 = 0.34 ± 0.02 ± 0.03
69
Motivation - I
• Medium modification of mass and/or width  Chiral Symmetry
Restoration, Collision Broadening and/or Phase Space?
R. Rapp and J. Wambach, Adv. Nucl. Phys. 25, 1 (2000); G. E. Brown and M. Rho, Phys. Rev. Let. 66 2720 (1991);
P. Braun-Munzinger, GSI Internal Report
+
-
π-
-
π-
ρ0
π+
+
ρ0
π-
ρ0
ρ0
π+
ρ0
+
ρ0 c = 1.3 fm
π+
• ρ0 leptonic decay channel  probes all stages of the collision
• ρ0 hadronic decay channel  probes late stages of the collision
• Φ  information early stages of the collision
• Φ  modification mass shape and width
Φ c = 44 fm
M.Asakawa and C.M. Ko, Nucl. Physics A575, 732 (1994); Phys. Lett. B322, 33 (1994); C. Song, Phys. Lett. B388, 141
(1996); C.M. Ko and D.Seibert, Phys. Rev. C49, 2198 (1994); W. Smith and K.L. Haglin, Phys. Rev C57, 1449 (1998)
7/18/2015
Patricia Fachini
70
Motivation - II
• Φ  different production for hadronic and leptonic channels
S. Pal et al., Nucl.Phys. A707 (2002) 525-539
• Nucleon-nucleon collisions  η, ω and ρ0 at high pT  perturbative
QCD
• A+A collisions  η, ω and ρ0 at high pT  nuclear effects can
modify particle production
• Δ++  mass and width modification in
medium
Hees and Rapp, HotQuarks04
• Vector mesons  K* and Φ  global
polarization measured via spin
alignment
RHIC
Δ++
Hees and Rapp
Hot Quarks04
Z. Liang and X. Wang, Phys. Lett B629, 20 (2005)
• K*  time between chemical and
kinetic freeze-out
7/18/2015
Patricia Fachini
71