vasundhara chetluru december 17, 2015 university of illinois, chicago antiparticle to particle...
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Vasundhara Chetluru
April 21, 2023
University of Illinois, Chicago
Antiparticle to particle ratios measurement using the PHOBOS detector
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Contents Motivation for studying particle ratios is heavy ion
collisions
PHOBOS @ RHIC Detector description
Like particle ratios analysis Analysis details Results & discussion
Motivation for studying particle ratios is heavy ion collisions
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Geometry Production Formation Freezeout Freezeout
0 fm/c ~2 fm/c ~7 fm/c >7fm/c
Time
Antiparticle to particle ratios probe hadron formation & chemical freeze-out stages.
In p+p & d+Au collisions little re-interaction is expected thus the ratios should reflect the initially produced yields.
Do these different conditions influence the measured particle ratios in Cu+Cu and Au+Au?
Relativistic Heavy Ion Collider
2.5 miles circumference
4 Experiments
5 years and more of running
Relativistic Heavy Ion Collider
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Au+Au: 19.6, 56, 62.4, 130, 200 GeV
p+p:200, 410 GeV
Cu+Cu:22, 62.4, 200 GeV
d+Au:200 GeV
PHOBOS Experiment
PHOBOS
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p+p d+Au Cu+Cu Au+Au410 20200 100 150 400 250130 4.362.4 110 2255.9 1.822.5 2019.6 ~1
GeVsystem
UIC has led the effort of
Building of Octagon, Vertex and the Ring detectors.
Designing and maintaining of the trigger and its electronics, from 2000 forward.
Scintillator Paddles + Zero Degree Calorimeter for triggering TOF wall for high-momentum PID
96000 Silicon Pad channels 4π Multiplicity Array Mid-rapidity Spectrometer
Millions of events to tape
Run V (2005)Cu+Cu data
joined the group
Onsite Trigger support
Calibrating and maintaining the T0 vertex trigger
Collision Centrality
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Magnitude of signals in paddle counters determines centrality
Negative
Paddles
Positive Paddles
ZDC N
ZDC PAu Au
x
z
PPPN
Paddle signal (a.u.)
Data
Co
un
ts
Larger signal = more central collision.
Central Collision: Large Npart
Peripheral Collision: Small number of participating nucleons
“side” view of colliding nuclei “side” view of colliding nuclei
Slide from David Hofman’s talk
Like antiparticle to particle ratios
Analysis description
Definition
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)(*)(* sec,,, hChhh absfdtrkacctedreconstruc
h
h
Particles
lesAntiparticratio particle like Identified
Identified anti-particle/particle count per event
efficiency trackingand acceptance lgeometrica for theaccount toapplied is )(,htrkacc
resonancesdecay and effectsdetector todue yield
ison modificati for theaccount toapplied is )(sec,,hC absfd
Definition
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)(*)(* sec,,, hChhh absfdtrkacctedreconstruc
h
h
Particles
lesAntiparticratio particle like Identified
Identified anti-particle/particle count per event
)(
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sec,,
sec,,
,
,
hC
hC
h
h
h
h
h
h
absfd
absfd
trkacc
trkacc
tedreconstruc
tedreconstruc
As a function of centrality of the collisions and transverse momentum of the particles.
PHOBOS Spectrometer
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Schematic Diagram
near mid-rapidity
ZB1 Cartoon
•Two symmetric spectrometer arms give two independent measurements.
•Outer 9 layers of the 15 layers are located in 2T magnetic field
•Coverage near mid-rapidity and Tracking within 10 cm of interaction point.
• PHOBOS magnet polarity is changed every couple of days.
• Two independent measurements are taken for each polarity.
h
h
Acceptance
Z Z
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Cu+Cu 200 GeV data
Magnetic field settings
)()(21 ,,
BtrkaccBtrkacc hh
For a given bending direction and opposite field settings
Ratios are measured independently for different bending directions.
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near mid-rapidity
ZB1
near mid-rapidity
ZB2
)()(12 ,,
BtrkaccBtrkacc hh
2 Arms X 2 Bending-directions = 4 Measurements
h
h
h
h
Particle ratios and acceptance
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)(
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sec,,
sec,,
,
,
,
,
1
2
1
2
hC
hC
h
h
h
h
h
h
absfd
absfd
trkacc
trkacc
Btedreconstruc
Btedreconstruc
B
B
Forward Bending
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sec,,
sec,,
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,
,
2
1
2
1
hC
hC
h
h
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absfd
absfd
trkacc
trkacc
Btedreconstruc
Btedreconstruc
B
B
Backward Bending
)()(21 ,,
BtrkaccBtrkacc hh
)()(12 ,,
BtrkaccBtrkacc hh
Tracking – momentum determination.
Particle identification.
Measuring particle ratios
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Tracking in the PHOBOS Spectrometer
1. Road-following algorithm finds
straight tracks in field-free
region
2. Curved tracks in B-field found
by clusters in (1/p, ) space
3. Match pieces by , consistency
in dE/dx and fit in yz-plane
4. Covariance Matrix Track Fit
for momentum reconstruction
and ghost rejection
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Tracking in the PHOBOS Spectrometer
1. Road-following algorithm finds
straight tracks in field-free
region
2. Curved tracks in B-field found
by clusters in (1/p, ) space
3. Match pieces by , consistency
in dE/dx and fit in yz-plane
4. Covariance Matrix Track Fit
for momentum reconstruction
and ghost rejection
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Tracking in the PHOBOS Spectrometer
1. Road-following algorithm finds
straight tracks in field-free
region
2. Curved tracks in B-field found
by clusters in (1/p, ) space
3. Match pieces by , consistency
in dE/dx and fit in yz-plane
4. Covariance Matrix Track Fit
for momentum reconstruction
and ghost rejection
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Tracking in the PHOBOS Spectrometer
1. Road-following algorithm finds
straight tracks in field-free
region
2. Curved tracks in B-field found
by clusters in (1/p, ∆) space
3. Match pieces by , consistency
in dE/dx and fit in yz-plane
4. Covariance Matrix Track Fit
for momentum reconstruction
and ghost rejection
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Tracking in the PHOBOS Spectrometer
1. Road-following algorithm finds
straight tracks in field-free
region
2. Curved tracks in B-field found
by clusters in (1/p, ∆) space
3. Match pieces by , consistency
in dE/dx and fit in yz-plane
4. Covariance Matrix Track Fit
for momentum reconstruction
and ghost rejection
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Momentum determined with resolution of ~1%
∆
Uses momentum and the energy loss
Particle identification
Particle identification (PID)
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Cu+Cu 200 GeV MC
The hits that particles produce provide both momentum information (determined from the position of the hit) and energy loss information (determined from the ionization produced by the particle).
The different energy loss characteristics of pions, kaons, and protons can be used conjointly with momentum to identify the particle type of a track.
Particle identification (PID)
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dE/dx slice for Momentum=0.5 Bin
Pions
Kaons
Protons
Cu+Cu 200 GeV MC
PID BandsLimit in momentum is obtained by 3-σ limit of the over lapping bands
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Cu+Cu 200 GeV MC
Raw Ratios
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)(
)(*
)2(1
)1(2
)2(1
)1(2
)2(1
)1(2
sec,,
sec,,
,
,
Babsfd
Babsfd
Btedreconstruc
Btedreconstruc
B
B
hC
hC
h
h
h
h
Cu+Cu 200 GeV Data
Raw Ratios
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)(
)(*
)2(1
)1(2
)2(1
)1(2
)2(1
)1(2
sec,,
sec,,
,
,
Babsfd
Babsfd
Btedreconstruc
Btedreconstruc
B
B
hC
hC
h
h
h
h
Cu+Cu 200 GeV Data
The yield of the produced (primary) particles is changed due to a variety of reasons, by the time they hit detector
material.
Corrections to the measured particles ratios (which are called raw ratios) are
applied to account for this change.
Corrections to the obtained raw ratios
General formula correction
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hh
hh
hh
hh
h
h
h
h**
hh
hh
h
hc *
Let h represent the yield and ∆h change in the yield due detector effects or feed-down. This change can be positive or negative.
Then h+ ∆h represents the measured yield (ignoring the efficiency correction).
c represents the correction factor. This is usually obtained using HIJING monte-carlo generator.
hh
hhc
h
h*
absfdBabsfd
BabsfdCCC
hC
hC**
)(
)(sec
sec,,
sec,,
)2(1
)1(2
Feed-down
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Accounts for hyperon decay products. Mainly effects the proton ratio. Lambda’s account for the most significant feed-down contribution
to the proton yields. As () = 0.26 ns and c() = 7.89 cm Spectrometer ~10 cm from interaction point. Apply strict distance of closest approach cut to each track.
prim
prim
prim
primfd p
pp
pp
pC
*
protonsfor ,98.0fdC
Cu+Cu 200 GeV MC
MC Feed-down
Secondary Corrections• As the primary collision products pass through the beam pipe and detector
materials, secondary particles are produced. Those which pass through the spectrometer may be reconstructed along with the primary particles.
• The effect of secondaries is negligible is kaons.
• While the protons and pions have 2% and 1% correction effectively.
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Absorption Correction As the collision products pass through the detector, some of them are absorbed. This results in
a loss of anti-particles versus particles and a decrease in the anti-particle to particle ratio.
Correction is obtained by studying the effect of hadronic interactions in the detector using HIJING.
5%,0.05% and 1% for protons, pions and kaons respectively.
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pT GeV/C
Ab
sorp
tion
co-
effi
cien
t
ProtonsAntiprotons
Cu+Cu 200 GeV MC
Band-width, Beam-Orbit, DCA cut
Paddle-time Difference
Track fit probability, Vertex in Z
Systematic error study
Systematic error study• Systematic uncertainties, which arise from event selection, particle
identification cuts, and the three correction factors are studied.
• No single uncertainty (parameter) dominates the final systematic error, typically the smallest contribution comes from the PID cuts and the largest from either the event selection or, in the case of the proton ratios, the feed-down correction.
• The final systematic uncertainty for a given centrality is determined from the statistically weighted average of the uncertainty determined for each parameter for different arms and bending directions.
• A thorough investigation of the track selection χ2 probability cut has shown a variation independent of the species and arm, but dependent on the bending direction. Hence, this effect yields a scale systematic uncertainty that, for each collision energy, is independent of both centrality and particle species.
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Plot with systematic studies
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Pions have the smallest systematic variations.
Track-fit probability has the largest contribution for all 3 species.
Systematic errors are studied as a function of centrality bin.
Systematic error
Protons
Kaons Pions
Cu+Cu 62.4 GeV 0.03 0.02 0.03
Cu+Cu 200 GeV 0.04 0.02 0.03
Results
Discussion of results
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•No strong dependence on centrality is observed for the Cu+Cu data.
•The final values for the antiparticle to particle ratios of pions, kaons and protons appear to be primarily driven by the collision energy and, within current systematic uncertainties, are largely independent of the colliding system.
•A detailed comparison of the central Cu+Cu results at 200 GeV to results from p+p, d+Au, and central Au+Au collisions at RHIC indicates that the antiparticle to particle ratios are, for the most part, insensitive to the collision species.Average pT
Cu+Cu Proton Kaon Pion
200 GeV 0.31 0.37 0.51
62.4 GeV 0.31 0.36 0.50
Open (closed) circles represent √sNN = 62.4 GeV (200 GeV) data. The error bars represent the combined (1σ) statistical and systematic uncertainties
Discussion of results
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•Thermal models• Make the assumption that the
initial state has time to thermalize and this “chemical” thermal nature is preserved during hadronization.
• Can fit each energy with a common chemical “freeze-out” temperature, Tch, and baryon chemical potential mB.
• Suggests a high degree of chemical equilibrium (and thermalization) at the point where particles are “frozen-out” (created).
•Baryon transport• Participating nucleons
experience multiple collisions• Causes loss of incident
momentum and energy• Can lead to “stopping” of
nucleon in CM frame; ie. transport to = 90° w.r.t. beam axis.
Open (closed) circles represent √sNN = 62.4 GeV (200 GeV) data. The error bars represent the combined (1σ) statistical and systematic uncertainties
Backup
Phase diagram
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B
Tem
pera
ture
(M
eV)
Abigail Bickley’s talk
Thermal Models
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Only µB and T are free parameters if look at production.
Make the assumption that the initial state has time to thermalize and this “chemical” thermal nature is preserved during hadronization.
Have a chemical potential m for every conserved quantum number
Constrain parameters with conservation laws
Grand Canonical Ensemble
Braun-Munzinger, Redlich, Stachel - nucl-th/0304013; Stachel – Trento - 2004
Thermal Model
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CTEQ 2006
Phys Lett. B. 518, 41 (2001); J. Phys G28, 1745 (2002)
• Can fit each energy with a common chemical “freeze-out” temperature, Tch, and baryon chemical potential mB.• Suggests a high degree of chemical equilibrium (and thermalization) at the point where particles are “frozen-out” (created).
Baryon transport Proton yield from transport and pair production
Antiprotons generated via pair production
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The pair production mechanism is symmetric,
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Analysis Flow Chart
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RHIC other experiments
Trigger studies
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Charged particle spectra
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Au+Au: PRL 94, 082304 (2005), PLB 578, 297 (2004)d+Au: Phys. Rev. Lett. 91, 072302 (2003)
preliminary preliminary
62.4 GeV 200 GeV
Cu+Cu
d+Au
Au+Au
PHOBOScentrality
Flow
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Au+Au
19.6 GeV 62.4 GeV 130 GeV 200 GeV
preliminarypreliminary
PHOBOS
Cu+Cu
Au+Au: PRL 94 122303 (2005)
Au+Au
preliminarypreliminarypreliminarypreliminary
PHOBOS
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Rapidity & Transport Rapidity:
Longitudinal motion Used if PID and p known
Pseudorapidity: = polar angle to beam axis Used if PID and p not known
Mid-Rapidity: = 90°, p|| = 0
y, 0 @ mid-rapidity Particles measured at mid-rapidity
Generated in collision Transported from beam rapidity
y 1
2ln
E p||
E p||
ln tan 2
Au Au
mid
forward
Beam-orbit study
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• Beam-orbit – Mean reconstructed vertex position of the collision in the transverse plane for a given run.
• Steady beam-orbit ensures acceptance and efficiency cancellation for different polarities.
• Data over the whole run range is classified depending on shifts in the beam-orbit. Ratios are calculated independently for each steady beam-orbit region.
Data quality studies Careful checking the data for any kind of anomalous
behavior. Plot below is an example of the average number of tracks
per event study.
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Different colors represent different magnetic field
settings
Spectrometer Performance
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Data Sample Production Run 2001(200 GeV)• 7.8 M Au+Au Events, Min. Bias Trigger• 32 M reconstructed particles
Acceptance Momentum Resolution
Energy Loss
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• The probability of interaction is statistical and can be characterized by the average amount of energy lost per unit path length, dE/dx.
• Experimentally dE/dx is measured in units of minimum ionizing particles, MIPS.
• A MIP is defined as the minimum value of the dE/dx for a given material and is applicable to particles traveling at relativistic velocities, ≥ 0.9c.
• Particles studied have momenta below the “relativistic rise”.
Bethe-Bloch function
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β = v / c
v velocity of the particle
E energy of the particle
x distance travelled by the particle
c speed of light
particle charge
e charge of the electron
me rest mass of the electron
n electron density of the target
I mean excitation potential of the target
permittivity of free space
Technique II - For PID band determination
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Bethe-Bloch parameterization is used to represent the data.
Technique II - For PID band determination
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Correction function to the Bethe-Bloch is obtained
Trigger callibration
TAC Plot
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•Triggering on the time difference between the T0 hits on both sides.
•It essentially narrows the collision vertex range, ensuring good data quality.
• Calibration and efficiency studies are the essential parts of running this trigger.
Time T0P (ns)
Tim
e T
0N (
ns)
TAC Plot
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•Triggering on the time difference between the T0 hits on both sides.
•It essentially narrows the collision vertex range, ensuring good data quality.
• Calibration and efficiency studies are the essential parts of running this trigger.
04/21/23
Time T0P (ns)
Tim
e T
0N (
ns)
Triggered hadron correlations
Tracking tuning for heavy ions
CMS Effort
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Triggered Hadron Correlatrions Jets are being used as tomographic probes to explore the medium created in ultra relativistic
heavy ion collisions.
At RHIC, tomographic probes provided the evidence of strongly interacting matter. Evolution of triggered correlation functions indicated additional physics phenomenon.
We intend to utilize these techniques to explore the matter properties in the energy domain at LHC where the properties of the created matter remains a mystery.
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hadrons
q
q
hadrons
leadingparticle
leading particle
Schematic diagram of a di-jet in a heavy ion collision.
Motivation
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4 < pT(trig) < 6 GeV/c pT(assoc) > 2 GeV/c
Away side jet is suppressed for central Au+Au collisions.
Evidence of jet medium interactions, partial thermalization of the medium.
Signal + Background
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Signal + Background : Δη-Δφ correlation with respect to the trigger particle (leading particle) in a given event. Normalized by the total triggers.
Background estimated by mixed events technique: Δη-Δφ correlation correlation with respect to the trigger particle from a different event with a similar pT.
Hydjet Pb-Pb 5500GeV , |η| <2.4 , pT > 2.0
0-10 % central collisions. Trigger – 15<pT<20
Tracking tuning for high pT
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Algorithmic efficiency
Closed symbols – EffiencyOpen symbols – Fake-rate
Tuning tracking reconstruction algorithm for high pT tracks.