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Shape of Hadrons Athens 27.-29. April 2006 Real Photon Experiments M. Kotulla E2/M1 @ MAMI and LEGS magnetic dipole moment of the
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Nucleon Structure
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first excited State precise electro- and photoproduction data: magnetic dipole transition M1 electric quadrupole transition E2 Coulomb quadrupole transition C2 incoming photon: M1, E2, C2 outgoing pion: N transition intrinsic
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methods: isospin decomposition: most sensitive: shape of angular distribution beam asymmetry at 90° E 1 + M 1 + multipol analysis, dispersion relation R EM Extraction
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DAPHNE @ MAMI
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TAPS @ MAMI 6 62, 1 138 detectors with individual veto detector, solid angle: ~0.40 4 sr MAMI 1999-2000 100cm beam
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LEGS setup
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Photon Asymmetry
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Differential Cross Sections
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Comparison LEGS - MAMI
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P 33 Partial Waves (MAMI)
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MAMI Results: DAPHNE measurement: C || /(12A || ) dispersion relation analysis multiplol ana (S,P waves + Born) LEGS Results: multipol analysis (up to F waves + Born) R. Beck et al., PRC 61 031204 (2000)G. Blanpied et al., PRC 64 025203 (2001) R EM for comparison: deuteron
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The Beamline LH 2 CB (inside 2MWPCs, PID) TAPS beam production runs 22.6.2004-4.4.2005 CB: 672 NaI(Tl) covers 20° - 160° TAPS: 510 BaF 2 covers 1° - 20°
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Photon Asymmery 15% of total statistics Photon Asymmetry : @400MeV: CBT =0.619 0.015 Leukel =0.592 0.036 @420MeV: CBT =0.632 0.015 Leukel =0.591 0.033 E. Downie preliminary
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Magnetic Moment p p ´´ measurement: excitation of the + and identification of the ´p state reaction description necessary M1, (E2), M3 ´ transition p p ´´ p p ´´ basic principle resonance: isolated excited state of the nucleon lifetime ~ 20 -23 s M.Kotulla et al., PRL 89, 272001 (2002) PDG2004 = (2.7 2.2 3) N
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Reaction Description Pascalutsa, Vanderhaeghen PRL 94 102003 (2005) M. Kotulla et al., PRL 89, 272001 (2002) Recent progress: chiral effective field theory ansatz V. Pascalutsa, M. Vanderhaeghen PRL 94 102003 (2005) systematic ansatz (NLO) error estimation rescattering: MDM acquires real and imaginary part
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(1232) MDM cross sections: angular distribution of ´ comparison: pioneering experiment (TAPS1999) = (2.7 2.2 3) M.K. et al., PRL 89, 272001 (2002) preliminary Crystal Ball / TAPS data much higher precision new Crystal Ball / TAPS Data (1232) MDM experiment: p ´p exclusive measurement kinematical overdetermination identification checks preliminary B. Boillat
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new Crystal Ball / TAPS Data checks: photon beam asymmetry p meson p ´´ E. Downie =0.619 0.015 S. Schumann preliminary
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Summary magnetic moment pioneering experiment TAPS@MAMI1999 (proof of principle) new (CB/TAPS) measurement is currently being analyzed much higher precision reaction calculation (systematic ansatz): chiral effective field theory Outlook: experiment feasible S 11 + (1535): p ´ p S 11 0 (1535): n ´ n(LD 2 target) N R EM : precise data from MAMI and LEGS very good agreement in photon asymmetry slight deviation in (differential) cross sections
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