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Au. Au. Ultra Peripheral Collisions. What is a UPC? Photonuclear interaction Two nuclei “miss” each other (b > 2R A ), electromagnetic interaction dominates over strong interaction Photon flux ~ Z 2 Weizsacker-Williams Equivalent Photon Approximation No hadronic interactions. - PowerPoint PPT Presentation
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STAR Collaboration Meeting, UCD group meeting, February 2008
1
Ultra Peripheral Collisions
• What is a UPC?• Photonuclear interaction• Two nuclei “miss” each other (b > 2RA), electromagnetic
interaction dominates over strong interaction
• Photon flux ~ Z2
• Weizsacker-Williams
Equivalent Photon Approximation
• No hadronic interactions
..
Au
Au
€
d3N(k,r)
dkd 2r=
Z 2α x 2
π 2kr2K1
2(x)
€
x =kr
γ
STAR Collaboration Meeting, UCD group meeting, February 2008
2
Exclusive o Production
• Photon emitted by a nucleus fluctuates to virtual qq pair
• Virtual qq pair elastically scatters from other nucleus
• Real vector meson (i.e. J/, o) emerges
• Photon and pomeron are emitted coherently
• Coherence condition limits transverse momentum of produced
Courtesy of F. Meissner
Au+Au Au+Au+o
€
pT <h
2RA
STAR Collaboration Meeting, UCD group meeting, February 2008
3
o Production With Coulomb Excitation
Au+Au Au*+Au*+o
Au
Au
P
Au*
Au*
(2+)0
Courtesy of S. Klein
• Coulomb Excitation• Photons exchanged between
ions give rise to excitation and subsequent neutron emission
• Process is independent of o production
€
σ(AuAu → Au*Au* + ρ o) = d2bP∫ρ(b)PXnXn (b)
STAR Collaboration Meeting, UCD group meeting, February 2008
4
Courtesy of S. Klein
Nucleus 1 emits photon which scatters from Nucleus 2
Nucleus 2 emits photon which scatters from Nucleus 1-Or-
Interference
• Amplitude for observing vector meson at a distant point is the convolution of two plane waves:
• Cross section comes from square of amplitude:
• We can simplify the expression if y 0:
€
Ao(xo,r p ,b) = A(p⊥, y,b)e i[φ(y )+
r p •(
r x −
r x o )] − A(p⊥,−y,b)e i[φ(−y )+
r p •(
r x −
r x o )]
€
σ =A2( p⊥, y,b) + A2(p⊥,y,b) − 2A(p⊥, y,b)A(p⊥,−y,b) × cos[φ(y) − φ(−y) +r p •
r b ]
€
σ =2A2(p⊥,b)(1− cos[r p •
r b ])
STAR Collaboration Meeting, UCD group meeting, February 2008
5
Central Trigger Barrel
Time Projection Chamber
STAR Analysis Detectors
Zero Degree
Calorimeter
Zero Degree
Calorimeter
STAR Collaboration Meeting, UCD group meeting, February 2008
6
UPC Topology• Central Trigger Barrel divided into four quadrants• Verification of decay candidate with hits in North/South quadrants• Cosmic Ray Background vetoed in Top/Bottom quadrants
Au+Au Au+Au+o
Triggers
UPC Minbias• Minimum one neutron in each Zero
Degree Calorimeter required • Low Multiplicity• Not Hadronic Minbias!
Trigger Backgrounds• Cosmic Rays• Beam-Gas interactions• Peripheral hadronic
interactions• Incoherent
photonuclearinteractions
Au+Au Au*+Au*+o
1 neutron peak !
STAR Collaboration Meeting, UCD group meeting, February 2008
7
Studying the Interference
• Determine candidates by applying cuts to the data
qTot 0
nTot 2
nPrim 2
|zVertex| < 50 cm
|rVertex| < 8 cm
rapidity > 0.1 < 0.5
MInv > 0.55 GeV
< 0.92 GeV
pT > 0 GeV< 0.1 GeV
STAR Collaboration Meeting, UCD group meeting, February 2008
8
Studying the Interference
€
s = (p1 + p2)2
t = (p1 − p3)2
u = (p1 − p4 )2 p1 p2
p3
p4
€
t ∝ pT2
• t is a natural variable to use since it is invariant
• can parameterize the spectrum ~ ebt
• for our purposes
STAR Collaboration Meeting, UCD group meeting, February 2008
9
Studying the Interference
• Generate similar MC histograms
STAR Collaboration Meeting, UCD group meeting, February 2008
10
€
R(t) =Interference(t)
No interference(t)
Studying the Interference
• Generate MC ratio• Fit MC ratio
€
R(t) = a +b
(t + 0.012)+
c
(t + 0.012)2+
d
(t + 0.012)3+
e
(t + 0.012)4
STAR Collaboration Meeting, UCD group meeting, February 2008
11
Measuring the Interference
• Apply overall fit
€
dN
dt= Ae−kt (1− c[R(t) −1])
c = 1 expected degree of
interference
c = 0 no interference
C = 1.034±0.131
• A= overall normalization• k = exponential slope• c = degree of interference
C = 0C = 1.034±0.131
STAR Collaboration Meeting, UCD group meeting, February 2008
12
Results Summary
c 2/dof
Minbias
0.0 < y < 0.5 0.92±0.07
45/47
0.5 < y < 1.0 0.920.09
76/47
Topology
0.05 < y < 0.5 0.73±0.10
53/47
0.5 < y < 1.0 0.770.18
64/47