MAID and the GDH sum rule in the resonance region

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Presentation transcript:

MAID and the GDH sum rule in the resonance region Dieter Drechsel, Sabit Kamalov and Lothar Tiator Institut für Kernphysik Universität Mainz electromagnetic sum rules new MAID developments comparison with exclusive data model calculations of sum rules comparison with JLAB data at Q2 > 0 summary

the observed spin structure of the nucleon depends on the resolution of the probe: current quarks sea quarks gluons orbital angular momentum constituent quarks and pion cloud resonance phenomena deep inelastic scattering

Nucleon Compton Scattering Forward Compton Amplitude non spin-flip spin-flip Low Energy Theorems Helicity

Optical Theorem due to Unitarity Dispersion Relations lead to Sum Rules does not converge

Similar for the Spin Amplitude

Summary of various Sum Rules

Summary polarized photo absorption on the proton target s3/2 - s1/2 is reasonably well understood for the resonance region with 1p + 2p + h production exclusive channels are very important in nucleon resonance analysis, e.g. D13(1520) the GDH integral for the proton is not yet saturated in the resonance region Wcm < 2 GeV resonance models overestimate the GDH for the proton and underestimate the GDH for the neutron, e.g.: MAID02+RPR gives approximately: Ip  - 225 mb (proton) GDH(p) - Ip  +20 mb In  - 200 mb (neutron) GDH(n) - In  -33 mb situation with the proton target at Q2 > 0 : results from JLAB/CLAS show reasonable agreement situation with the neutron target at Q2 > 0 : results from Hall A on 3He show up to 40% disagreement for small Q² (below 0.4 GeV²), the agreement is much better for larger Q²