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A partial wave analysis of pion photo- and electroproduction with MAID  introduction  a dynamical approach to meson electroproduction  the unitary isobar.

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Presentation on theme: "A partial wave analysis of pion photo- and electroproduction with MAID  introduction  a dynamical approach to meson electroproduction  the unitary isobar."— Presentation transcript:

1 A partial wave analysis of pion photo- and electroproduction with MAID  introduction  a dynamical approach to meson electroproduction  the unitary isobar model MAID  comparison of multipoles between MAID and SAID  resonance parameters and transition form factors  summary and outlook

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5 models and techniques of different groups

6 why partial wave analysis learn about nucleon resonances in particular about their e.m. structure transition moments, form factors G E, G M, G C study threshold amplitudes to compare with ChPT obtain cross sections and amplitudes over a wide range of energies for dispersive studies - sum rules: GDH, FFR, etc. - two-photon reactions: Compton, VCS, SSA, etc. find missing or exotic resonances

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8 K-matrix approximation

9 MAID the Mainz-Dubna Unitary Isobar Model  the Resonances in MAID are dressed resonances K-matrix unitarization unitarization phase determined by the Watson theorem, below 2  threshold relaxed above 2  threshold

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15 currently about 20 000 photoproduction points in our data base

16 Resultson photo- and electroproduction of nucleon resonances

17 threshold   photoproduction simple background (non-unitarized) imag. part real part

18 threshold   photoproduction unitarized background (K-matrix approx.) imag. part real part

19 threshold   photoproduction phenomenological loop contribution added imag. part real part loop contribution

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21 Unitarity at Eta Threshold Data: GDH collaboration, Mainz, 2006 (PRC 74) Mainz 2006

22 (MAID uses SAID pion nucleon analysis)

23 comparison between MAID and SAID

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27 electroproduction analysis of nucleon resonances with MAID

28 currently about 140 000 electroproduction points in our data base

29 Delta P 33 (1232) and D 13 (1520) resonances

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33 Roper P 11 (1440) and S 11 (1535) resonances

34 RoperS11(1535)

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37 summary on MAID techniques  field theoretical background in tree approximation  pion loop contributions in K-matrix approximation guarantees a unitarized background  non-Born bg terms account for missing loop contributions a) empirical terms near threshold for E 0+, S 0+ b) PS-PV mixing at higher energies in E 0+, S 0+, M 1-, S 1-  nucleon resonance excitation in s-channel Breit-Wigner parametrization (MAID strategy: as few as necessary, in Maid07: 13 res.)  Q 2 dependent transition form factors lead to superglobal energy- and Q 2 dependent solutions

38 how can we improve the background in isobar models? 1)fixed-t disp. relations: changes only real parts of multipoles 2)parametrize  -loop effects: can also change imaginary parts of multipoles but without predictive power 3) apply the new Dubna-Taipei-Mainz dynamical model DMT2007 most important candidates that need to be improved: Real E0+Im E0+ RealS0+Im S0+ RealM1+ RealS1+ RealM2- Outlook


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