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Published byAldous Hampton Modified over 9 years ago
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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 model MAID comparison of multipoles between MAID and SAID resonance parameters and transition form factors summary and outlook
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models and techniques of different groups
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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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K-matrix approximation
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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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currently about 20 000 photoproduction points in our data base
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Resultson photo- and electroproduction of nucleon resonances
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threshold photoproduction simple background (non-unitarized) imag. part real part
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threshold photoproduction unitarized background (K-matrix approx.) imag. part real part
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threshold photoproduction phenomenological loop contribution added imag. part real part loop contribution
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Unitarity at Eta Threshold Data: GDH collaboration, Mainz, 2006 (PRC 74) Mainz 2006
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(MAID uses SAID pion nucleon analysis)
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comparison between MAID and SAID
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electroproduction analysis of nucleon resonances with MAID
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currently about 140 000 electroproduction points in our data base
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Delta P 33 (1232) and D 13 (1520) resonances
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Roper P 11 (1440) and S 11 (1535) resonances
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RoperS11(1535)
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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
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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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