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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.

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Presentation on theme: "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."— Presentation transcript:

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2 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

3 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

4  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)

5 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

6 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)

7 Transition Form Factor  Distribution Amplitudes DA from Lattice QCD (Warkentin, Braun) : ProtonS 11

8 29, 30: Dalton and Denizli 31: Brasse parameterization 32: Aznauryan analysys of e1-6 CLAS data 33: ProtonS 11

9 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

10 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

11 Single pion electroproduction Unpol. Xsection w/ one-photon exchange approx.

12  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)

13  Vertex corrections  Electron momentum corrections  Fiducial cut for charge particles (Seema’s)

14  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

15  β cut, fiducial cut vs. momentum  3 σ cut was used for pion PID on β.

16  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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19 +1.4%

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23 Supporting Web Docs Ratio & impact on CRS Supporting Web Docs Impact on Cross section

24 * 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

25  Running same analysis code with MC  Reconstructed/Generated events Supporting Web Docs Acceptances 20M basis 634M basis

26  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%

27  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

28  Luminosity & virtual photon flux were taken in account Supporting Web Docs Detail Procedure Exp. e1-f Exp. e1-6a

29  Luminosity & virtual photon flux were taken in account Supporting Web Docs Detail Procedure Exp. e1-f Exp. e1-6a

30 Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f Exp. e1-6a

31 Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f Exp. e1-6a

32 Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f Exp. e1-6a

33 Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f Exp. e1-6a

34 Supporting Web Docs Comparison with models

35 Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f

36 Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f

37 Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f

38  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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40 Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f

41 Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f

42 Supporting Web Docs Comparison with models MAID 2003 (Isobar model) MAID 2007 (Isobar model) DMT2001 (Dynamic model) Exp. e1-f

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46 Levon : modifying target scattering chamber optimized flags Levon : modifying “USER_ANA”

47  β cut, fiducial cut vs. momentum  3 σ cut was used for pion PID on β.

48 * 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”

49 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

50 50 The structure of the nucleon and its excited states is much more complex than CQM

51 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

52 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)

53 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

54 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

55 Transition Form Factor  Distribution Amplitudes DA from Lattice QCD (Warkentin, Braun) : ProtonS 11

56 29, 30: Dalton and Denizli 31: Brasse parameterization 32: Aznauryan analysys of e1-6 CLAS data ProtonS 11

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58 Supporting Web Docs Fitting with min.acc.cuts

59 Supporting Web Docs Exp. using 12 bin of phi Exp. using 6 bin of phi in large angle

60 Supporting Web Docs Exp. using 12 bin of phi Exp. using 6 bin of phi in large angle


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