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![Page 1: Experimental Status of Deuteron F L Structure Function and Extractions of the Deuteron and Non-Singlet Moments Ibrahim H. Albayrak Hampton University.](https://reader035.fdocument.org/reader035/viewer/2022062515/56649cf45503460f949c2c76/html5/thumbnails/1.jpg)
Experimental Status of Experimental Status of Deuteron FDeuteron FLL Structure Function Structure Function and Extractions of the Deuteron and Extractions of the Deuteron
and Non-Singlet Momentsand Non-Singlet Moments
Ibrahim H. AlbayrakHampton University
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Measurement of fundamental structure functions FL, F1, F2 and the ratio R = σ = σLL / σ / σTT on Deuterium.
These are fundamental measurements, they allow a variety of physics issues to be addressed, such as:
Extraction of deuteron FL moments and non-singlet moments for the first time.
Access to Structure Functions and Moments of
Neutron from this D2 data combining with existing Proton data (E94110).
Duality studies on deuteron and neutron in longitudinal channel.
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Physics Motivation
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Structure Functions in the Nucleon Structure Functions in the Nucleon
Resonance RegionResonance Region
• Previously few and lower quality L/T separated structure functions in the resonance region.
• Higher precision F2 data from L/T separations.
0< Q2 < 20 GeV2
Q2 = 2 GeV2
p Δ S11
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Extraction of Moments for All Extraction of Moments for All
Separated Structure FunctionsSeparated Structure Functions
• Cornwall-Norton moments of the SFs are defined as
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Natchmann Moments of the Structure Natchmann Moments of the Structure
FunctionsFunctions• At lower Q2 target mass effects become important and
physical interpretation of CN moments become complicated.
• Natchmann formalism can be used to eliminate target mass effects:
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Previous Extractions of MomentsPrevious Extractions of Moments
Previous extractions of deuteron F2 moments. (M. Osipenko et. al. )
They relied on a parameterization of R.
• This data provides more precise F2 since R was also measured simultaneously.
• No previous determinations of moments of the L/T separated structure functions F1 and FL.
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Non-Singlet MomentsNon-Singlet Moments
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Non-Singlet MomentsNon-Singlet Moments
Measuring proton and deuteron moments allows to study the non-singlet(valence) distributions and singlet (sea+gluon) distributions through FL together with F2.
At next-to-leading order FL sensitive to the gluon distributions
Data provide direct confrontation of recent lattice QCD calculations of non-singlet moments a 4 GeV2.
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Cross Sections Cross Sections
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Cross Sections Cross Sections
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L/T Separations L/T Separations
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• ~300 L/T separations• Q2 range ± 15% for each Q2 bin.• Data bin centered to Q2 = 2, 3 and 4 GeV2.
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L/T Separations…L/T Separations…
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Structure Function ResultsStructure Function ResultsThe new data cover significant range of x which is needed for moment extractions.
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Structure Function ResultsStructure Function Results
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Structure Function ResultsStructure Function Results
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Methodology of Extraction of Structure Function Methodology of Extraction of Structure Function
Moments Moments
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Integration is from 0.01 to 1 in x
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Steps of the Determination of the Steps of the Determination of the
Non-Singlet momentsNon-Singlet moments
• Quasi-elastic (QE) contribution was subtracted using modified QE model.
• Structure function data were corrected for Fermi smearing via:
• Non-singlet moments calculated using currently available proton moments from 2Mp –Md .
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UncertaintiesUncertainties
• Estimation of uncorrelated errors in moment extraction was accomplished by generating pseudo data sampling a Gaussian distribution with a width corresponding to the 1-σ of each point.
• Uncertainties from QE subtraction is negligible.
• Uncertainty from Fermi correction was estimated to be 25% of the correction. Worst case for F2 is ~0.7%.
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Norton-Cornwall Moments of the FNorton-Cornwall Moments of the F22 Structure Structure
FunctionsFunctions n=2,4 and 6 moments of the structure function F2 at Q2 = 2
GeV.
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Before Fermi correction
After Fermi correction
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Norton-Cornwall Moments of the FNorton-Cornwall Moments of the F22 Structure Structure
FunctionsFunctions n=2,4 and 6 moments of the structure function F2 at Q2 = 3 and 4 GeV.
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Norton-Cornwall Moments of the FNorton-Cornwall Moments of the FLL Structure Structure
FunctionsFunctions n=2,4 and 6 moments of the structure function FL at Q2 = 2, 3 and 4 GeV.
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Nachtmann Moments of the FNachtmann Moments of the F22 Structure Functions Structure Functions
n=2,4 and 6 moments of the structure function F2 at Q2 = 2, 3 and 4 GeV.
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Nachtmann Moments of the FNachtmann Moments of the FLL Structure Functions Structure Functions
n=2,4 and 6 moments of the structure function FL at Q2 = 2, 3 and 4 GeV.
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Preliminary Non-Singlet Moments of the Structure Preliminary Non-Singlet Moments of the Structure
FunctionsFunctions
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Q2 (GeV2)
nM2 ML
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0.044514 (0.00232)
0.00618 (0.005)
40.00782 (0.00130)
0.00235 (0.0005)
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0.04821 (0.00160)
0.00399 (0.00736)
40.00883 (0.00068)
0.00225 (0.00058)
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0.04475 (0.00269)
0.00186 (0.00762)
40.00882 (0.00023)
0.000799 (0.00102)
New Measurements
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ConclusionConclusion
• First precision measurements of L/T separated structure function moments on deuteron in the resonance region.
• First determination of non-singlet moments for all separated structure functions.
• Finalizing error estimations,
• Preparing for publication.
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Recent extractions of parton distributions including Proton and D2 (Neutron after nuclear correction).
Extracted neutron F2n structure function at
Q2 = 1.7 and 5 GeV2, together with proton and deuteron data.
Neutron Structure FunctionsNeutron structure functions can be obtained from D-p after nuclear corrections.
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JAN05 ROSEN07
New data with higher Q2 And new epsilon points for LT separation
ROSEN07 experiment is the second phase of this experiment, the first phase was JAN05 experiment…
Purely New data with high Q2 above 3 GeV
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Experiment & Data analysis
Detector Hut
HMSTarget Scattering Chamber
Electron Beam
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HMS HMS DetectorsDetectors
Drift Chambers,for Horizontal and vertical position determination.
Vertically and Horizontally segmented hodoscopes,for triggering.
Gas Cerenkov, for particle identification
Electro-magnetic calorimeter,for particle identification
Experiment & Data analysis
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Experiment & Data analysisCross Sections Cross Sections
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Different colors correspond to different central momentum setting of the HMS spectrometer. HMS acceptance is -7% < δp/p < 10%.
Model is a fit to previous data (P. Bosted, M.E. Christy, Phys. Rev. C2007)
Data binned in W2 with 0.04 GeV bin size.
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Structure Functions Structure Functions R and structure functions F1, F2 and FL at Q2 = 2 GeV.
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Structure Functions Structure Functions R and structure functions F1, F2 and FL at Q2 = 3 GeV.
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Structure Functions Structure Functions R and structure functions F1, F2 and FL at Q2 = 4 GeV.
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Cross Sections and Structure Functions: F1, F2, FL
• F1 is transverse structure function,
• FL is longitudinal structure function,
• F2 has contributions from both.
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Structure functions (F1 and F2) have the Information of the nucleon’s internal structure.
Cross section is the measured quantity in the experiment.
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Longitudinal Transverse Separation
Rosenbluth separation technique