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Probe resolution (GeV) N π, Q 2 =12 GeV 2 Q 2 =6 GeV 2 The study of nucleon resonance transitions provides a testing ground for our understanding of these effective D.o.F B=N,N*, * Access to the essence of non- perturbative strong interactions generation of > 97% of nucleon mass enhance capability to map out QCD function in constituent regime
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D 13 (1520) S 11 (1535) P 33 (1232) P 11 (1440) * Study of transition from ground state allows make more definite statement about the nature Missing States? Energy Orbital angular momentum * There are questions about underlying degrees-of-freedom of some well known state like P11, S11, D13
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Study of Resonance to understand Nucleon Structure Extensive studies beyond Δ(1232), P11(1440), S11(1535), D13(1520) using pπ + channels Currently pπ 0, p 2π ’s channels are underway PRC 77, 015208 (2008) PRC 78, 045204 (2008) PRC 78, 045209 (2008)PRC 80, 055203 (2009) PRL 97, 112003 (2006) PRC 73, 025204 (2006)
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5 The structure of the nucleon and its excited states are much more complex than CQM Constituent Counting Rule at high Q 2 pQCD has some limits
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6 The structure of the nucleon and its excited states are much more complex than CQM Constituent Counting Rule at high Q 2 pQCD has some limits Lattice QCD (LQCD) Dynamical Chiral Symmetry Breaking (CSB) Light Cone Sum Rule (LCSR)
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Transition Form Factor Distribution Amplitudes DA from Lattice QCD (Warkentin, Braun) : ProtonS 11
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29, 30: Dalton and Denizli 31: Brasse parameterization 32: Aznauryan analysys of e1-6 CLAS data 33: ProtonS 11
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Exp. e1-6a with G n M measurement from CLAS Exp. e1-6a with G n M from parametrization E 0+ /G D : LCSR ( experimental electromagnetic form factors as input) E 0+ /G D : pure LCSR calculation E 0+ /G D : MAID2007
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10 p(e,e')X p(e,e'p) p(e,e' + )n p(e,e'p + ) - channel is sensitive to N*s heavier than 1.4 GeV Provides information that is complementary to the N channel Many higher-lying N*s decay preferentially into N final states Q 2 < 4.0 GeV 2 W in GeV
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Single pion electroproduction Unpol. Xsection w/ one-photon exchange approx.
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Apr. 04 ~ Jul. 26, 2006 E0 =5.499GeV (pol. e), LH2 target target position = 25cm upstream Length = 5cm, Φ = 6mm I B = 2250A Trigger = EC in x EC tot x CC Total number of runs = 608 (576 Golden runs)
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Vertex corrections Electron momentum corrections Fiducial cut for charge particles (Seema’s)
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Select only two empty target runs Applying beam-enrgy correction Using target EXIT window (15[μm] of "Al" foil) as a z- vertex as function of momentum
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β cut, fiducial cut vs. momentum 3 σ cut was used for pion PID on β.
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Comparison of EC geometry in term of EC coordinate frame between before(black) and after(red) electron fiducial cut. Electron fiducial cut Efficiency EC geomertry cut
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+1.4%
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Supporting Web Docs Ratio & impact on CRS Supporting Web Docs Impact on Cross section
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* AAO_RAD for electro-production : modification input parameters. * Approx. ~800M events were generated. Kinematic settings E0E0 5.499 GeV. W1.4-1.6GeV Q2Q2 1.5-5.0GeV 2 targetProton Target position-27.5, -22.5, 0.2 Q 2 power2.0 f(Q 2 ) = 1./x**nq2 t-slope0.3 f(t)=exp(-x*abs(t_slop)) Levon : modifying target scattering chamber optimized flags Levon : modifying “USER_ANA” Supporting Web Docs Simulation History Supporting Web Docs Acceptances Supporting Web Docs Technical Note
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Running same analysis code with MC Reconstructed/Generated events Supporting Web Docs Acceptances 20M basis 634M basis
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Limited W<2.0GeV, Q2<5.0GeV2 two MAID (03/07) version tested 2 or 3times iteration Using final kinematic binning Supporting Web Docs Detail Procedure Supporting Web Docs Impact on CRS 20%
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Fit the background using exp + polynomial function for high mass region extrapolate under neutron missing mass region BG study using the final binning BEFORE BG subtraction AFTER BG subtraction Supporting Web Docs Detail Procedure
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Luminosity & virtual photon flux were taken in account Supporting Web Docs Detail Procedure Exp. e1-f Exp. e1-6a
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Luminosity & virtual photon flux were taken in account Supporting Web Docs Detail Procedure Exp. e1-f Exp. e1-6a
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Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f Exp. e1-6a
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Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f Exp. e1-6a
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Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f Exp. e1-6a
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Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f Exp. e1-6a
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Supporting Web Docs Comparison with models
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Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f
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Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f
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Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f
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Single charged pion differential cross sections have been extracted in high lying resonance region (1.6<W<2.0GeV) using CLAS e1-f data set. Preliminary results showed consistent with e1-6 data at 1.60GeV<W<1.69GeV. These analysis data allow us to studies extensively beyond the second resonance region.
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Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f
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Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f
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Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f
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Levon : modifying target scattering chamber optimized flags Levon : modifying “USER_ANA”
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β cut, fiducial cut vs. momentum 3 σ cut was used for pion PID on β.
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* FSGEN for electro-production : modification input parameters. * Approx. ~1B events were generated. Kinematic settings E0E0 5.499 GeV. W0.9-3.2GeV Q2Q2 1.0-4.0GeV 2 targetProton Target position-27.5, -22.5, 0.2 Q 2 power2.0 f(Q 2 ) = 1./x**nq2 t-slope0.3 f(t)=exp(-x*abs(t_slop)) Levon : modifying target scattering chamber optimized flags Levon : modifying “USER_ANA”
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Even as we speak, we need to fully understand: the essential nature of quark confinement. the dynamics of quark-gluon interaction at low energy A Quest for Understanding Nature Challenge: Understanding the role of quarks and gluon in nuclei How to address and solve this: Step into the domain of relativistic quantum field theory where the key phenomena can only be understood with non-perturbative methods
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50 The structure of the nucleon and its excited states is much more complex than CQM
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51 The structure of the nucleon and its excited states are much more complex than CQM Constituent Counting Rule at high Q 2 pQCD has some limits
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52 The structure of the nucleon and its excited states are much more complex than CQM Constituent Counting Rule at high Q 2 pQCD has some limits Lattice QCD (LQCD) Dynamical Chiral Symmetry Breaking (CSB) Light Cone Sum Rule (LCSR)
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JLAB, Carnegie Mellon Univ. of Maryland Trinity College (Dublin) m=578 MeV m=416 MeV radial excitations to calculate form factors, and signal-to-noise extraction New Techniques: Anisotropic Lattices 3 flavors of quarks Proton – P11 form fact Proton Roper Form Factors Huey-Wen Lin
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data: unquenched LQCD curves: DSE calculation N transition form factor We can use high precision measurement of nucleon-resonance transition form factors to chart the momentum evolution of the dressed-quark mass
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Transition Form Factor Distribution Amplitudes DA from Lattice QCD (Warkentin, Braun) : ProtonS 11
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29, 30: Dalton and Denizli 31: Brasse parameterization 32: Aznauryan analysys of e1-6 CLAS data ProtonS 11
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Supporting Web Docs Fitting with min.acc.cuts
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Supporting Web Docs Exp. using 12 bin of phi Exp. using 6 bin of phi in large angle
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Supporting Web Docs Exp. using 12 bin of phi Exp. using 6 bin of phi in large angle
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