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A Precision Measurement of the Neutral Pion Lifetime: the PRIMEX Experiment
Rory MiskimenUniversity of Massachusetts, Amherst
and thePRIMEX Collaboration
• A short review of 0→• The PRIMEX experiment at JLab
• Electromagnetic calibration reactions
• Results for the 0 lifetime
• PRIMEX at 12 GeV
Sixth International Conference on Perspectives in Hadronic PhysicsTrieste – Italy, May 12-16, 2008
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A short review of 0→ : ”discovery”
• 1950: 0 discovered at Berkeley Cyclotron
• 1948: Oppenheimer suggests 0
decays are responsible for gamma backgrounds in high altitude cosmic rays
• 1938: Yukawa postulates a neutral meson based on observations of charge independence of the NN force
• 1940: Sakata estimates ≈ 10-
16 s for the 0 lifetime from loop diagram
pp
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•The soft-pion limit of PCAC predicts A(→= 0
• Adler, Bell, Jackiw and Bardeen discover triangle diagrams that alter PCAC predictions for o decay
p
k1
k2
A short review of 0→ : era of “current algebra”
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eV725.7F576
mN23
32c
20
• Wess, Zumino and Witten construct anomalous O(p4) lagrangian that permits transitions between even and odd numbers of pseudo-scalar mesons
• The chiral anomaly has special status in QCD: there are no low energy constants in lagrangian
A short review of 0→ : era of QCD and effective interactions
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• Corrections due to
(i) u- d- quark masses
(ii) isospin breaking (, , and ´ mixing) proportional to quark mass differences
• Recent calculations in NLO ChPT gives†
eV10.80
≈ 5% higher than LO, with uncertainty of less than 1%
A short review of 0→ : era of “chiral dynamics”
† J. Goity, A. Bernstein, and B. Holstein, Phys. Rev. D66:076014, 2002, and B. Ananthanarayan and B. Moussallam, JHEP05 (2002) 052.
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Experimental results used in PDG average
† QCD sum rule calculation: B. Ioffe, A. Oganesian, Phys. Lett. B647, 389 (2007).
No collider results e+e-X are in this average
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Direct Measurement of Lifetime (CERN 1984)
(0) = 7.34eV3.1%(total) Dominant systematic error:Uncertainty in P (1.5%)
1x10-16 sec too small to measure
Solution: Create energetic 0 ‘s,
L = vE/m
For E= 1000 GeV, Lmean 100 μm
Measure 0 decay length
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Primakoff Reaction
22
..4
43
3
2Pr
3
sin)(8
QFQ
E
m
Z
d
dme
Challenge: Extract the Primakoff amplitude
12C target
Primakoff Nucl. Coherent
Interference Nucl. Incoh.
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Previous Primakoff Experiments
All previous experiments used: Untagged bremsstrahlung beam Conventional Pb-glass calorimetry
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Arizona State University, Tempe, AZ, Catholic University of America, Washington, DC, Chinese Institute of Atomic Energy, Beijing, China, Eastern Kentucky
University, Richmond, KY, George Washington University, Washington, DC, Hampton University, Hampton, VA, Institute for High Energy Physics, Chinese
Academy of Sciences, Beijing, China, Institute for High Energy Physics, Protvino, Moscow region, Russia, Institute for Theoretical and Experimental Physics,
Moscow, Russia, Kharkov Institute of Physics and Technology, Kharkov, Ukraine, Massachusetts Institute of Technology, Cambridge, MA, Norfolk State University,
Norfolk, VA, North Carolina A&T State University, Greensboro, NC, North Carolina Central University, Durham, NC, Thomas Jefferson National Accelerator
Facility, Newport News, VA, Tomsk Polytechnical University, Tomsk, Russia, Idaho State University, Pocatello, ID, University of Illinois, Urbana, IL, University of Kentucky, Lexington, KY, University of Massachusetts, Amherst, MA, University
of North Carolina at Wilmington, Wilmington, NC, University of Virginia, Charlottesville, VA, Yerevan Physics Institute, Yerevan, Armenia
PRIMEX Collaboration
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JLab Hall B high resolution high intensity photon tagging facility
New pair spectrometer for photon flux control at high intensities New high resolution hybridmulti-channel calorimeter
(HYCAL)
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Jefferson Lab Photon Tagger
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/T=0.3%
PRIMEX Targets: 12C and 208Pb
Effective number of atoms/cm2 in the targets:
Carbon known to ± 0.04%
Lead known to ± 0.4%
Lead target
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Pair Spectrometer
Relative photon flux monitor: by detecting e+e- pairs from beam during the experiment
Combination of: 16 KGxM dipole magnet 2 telescopes of 2x8 scintillating detectors
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15
Stability of relative tagging ratios
Monitored by PS during production data taking.
PS+tagger
Tagger
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PrimEx Hybrid Calorimeter - HyCal
A highly segmented hybrid calorimeter
– 576 lead-glass detectors (4.00×4.00×40 cm3)
– 1152 lead-tungstate detectors (2.125×2.125×21.5 cm3)
– energy resolution 1.3%
– position resolution 1.3 mm
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QED calibration reaction I: pair production
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Differential cross sections for pair production
Integrated cross sections in agreement with theory at the sub-percent level
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QED calibration reaction II: Compton scattering e e
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4.9 5.0 5.1 5.2 5.3 5.4 5.5
Energy (GeV)
0.055
0.060
0.065
0.070
0.075
0.080
0.085
Systematic Uncertainty
P R E L I M I N A R Y
Uncertainties:StatisticalSystematic
Compton Forward Cross Section
Klein-NishinaPrimex Compton Data
4.9 5.0 5.1 5.2 5.3 5.4 5.5
Energy (GeV)
-10
-5
0
5
10
Devi
atio
n (%
)
P R E L I M I N A R Y
Uncertainties:Statistical
Experiment To Theory Comparison
No DeviationExperiment / Theory
Data with radiative corrections
Cross sections in agreement with theory at the percent level
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Latest results for the 0 lifetime
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Extracting Elastic Pion Yields versus
tagged
21
EEE
M
Three groups analyzed the data independently:
E.Clinton (UMass), D. McNulty (MIT/JLab) and I. Larin (ITEP)
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Differential Cross section
Experimental Yield per
GEANT: acceptances; efficiencies; resolutions;
Diff. cross section
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Fit to Extract Γ(0) Decay Width Theoretical angular distributions smeared with experimental
resolutions are fit to the data
12
C208Pb
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Combined Sumultaneous Fit to Both Targets
12C
208Pb
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Analysis Averages for (0→)
Target →12C 7.86 ± 0.21 eV
208Pb 7.99 ± 0.18 eV
Combined carbon+lead 7.93 ± 0.18 eV
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Estimated Systematic Errors
Contributions Errors
Photon flux 1.0%
Target number 0.1%
Background subtraction
0.9%
Event selection 0.5%
HYCAL response function
0.5%
Beam parameters 0.4%
Acceptance 0.3%
Model errors (theory) 0.25%
Physics background 0.24%
Branching ratio (PDG) 0.03%
Total 1.6%
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28
Current PrimEx Result
() = 7.93eV2.3%1.6%
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Future JLab Run
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PrimEx Program at 12 GeV JLAB
We propose to measure:
– Two-Photon Decay Widths: Γ(η―>γγ), Γ(η׳―>γγ)
– Transition Form Factor F* of π0, η and η׳ at low Q2 (0.001--0.5 GeV2/c2)
via the Primakoff effect.
PrimEx Program at 12 GeV JLAB
11 GeV photoproduction on proton
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Fundamental input to physics:
Determination of quark mass ratioDetermination of quark mass ratio
--´́ mixing mixing Interaction radius of Interaction radius of 00, , and and ´́ Is theIs the ´́ an approximate an approximate
Goldstone boson?Goldstone boson?
)(2
1ˆ re whe,
22
222
duud
s mmmmm
mmQ
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PRIMEX at 12 GeV: GlueX detector in JLab Hall D
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Summary and Conclusions
We are in the process of finalizing the πo lifetime analysis. Our result is:
eV13.018.093.70
Our result is in agreement with LO and NLO ChPT, and the QCD sum rule calculation.
Additional running can reduce our combined statistical and systematic errors by about ½. We are approved for another run at Jefferson Lab.
A Primakoff program at 12 GeV holds great promise for studies of the pseudo-scalar mesons