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Measuring the Source “Size” (HBT). 1D: overall rough “size”. y 1. x 1. K . y 2. ~1 m. x 2. R out. R side. ~5 fm. 3D decomposition of relative momentum provides handle on shape and time as well as size. HBT and the Phase Transition. with transition. without transition. “ e ”. - PowerPoint PPT Presentation
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Helen Caines
OSU – March 2001STAR
K
RoutRside
Measuring the Source “Size” (HBT)
222111 xyipxyip ee~
~5 fm
x1
x2
y1
y2 ~1 m 122211 xyipxyip ee
)xpcos(1~)p,p(P *21
C (Q
inv)
Qinv (GeV/c)
1
2
0.05 0.10
Width ~ 1/R
1D: overallrough “size”
3D decomposition of relative momentum provides handle on shape and time as well as size
Helen Caines
OSU – March 2001STAR
HBT and the Phase Transition
withouttransition
“”
withtransition
c
Rischke & GyulassyNPA 608, 479 (1996)
Generic prediction of 3D hydrodynamic models
Primary HBT “signature” of QGP
~ emission
timescale
Phase transition longer lifetime; Rout/Rside ~ 1 + ()/Rside
Helen Caines
OSU – March 2001STAR
Two-particle interferometry (HBT)
• Correlation function for identical bosons:
• 1d projections of 3d Bertsch-Pratt• 12% most central out of 170k
events• Coulomb corrected• |y| < 1, 0.125 < pt < 0.225
qout
STAR preliminary
STAR preliminary
qlong
fmR
fmR
fmR
Long
Side
Out
)21.012.007.7(
)16.009.047.5(
)23.011.086.5(
03.001.050.0
Helen Caines
OSU – March 2001STAR
Radii dependence on centrality and kt
•Radii increase with multiplicity - Just geometry (?)
•Radii decrease with kt – Evidence of flow (?)
low kT central collisions
“multiplicity”
STAR preliminary
x (fm)
y (f
m)
Helen Caines
OSU – March 2001STAR
Pion HBT Excitation Function
• Central AuAu (PbPb)
• Decreasing parameter
• Decreased correlation
strength
• More baryon resonances ?
• Saturation in radii
• Geometric or dynamic
(thermal/flow) saturation
• No jump in effective lifetime
• No significant rise in size of the emitting source
• Lower energy running needed!
STAR Preliminary
Compilation of world 3D -HBT parameters as a function of s
Helen Caines
OSU – March 2001STAR
2/)( 21TTT ppK
STAR
Preliminary
Tomášik, Heinz nucl-th/9805016
=0.0
=0.5
opaqueness
The ROut/RSide Ratio
Emission duration for transparent sources:
TSideOut RR 22
Small radii + short emission time + opaqueness short freeze-out