The Generalized Gerasimov-Drell-Hearn Integral and the Spin Structure of the Nucleon

The spin structure functions g1 and g2 have been calculated in the resonance region and for small and intermediate momentum transfer. The calculation is based on a gauge-invariant and unitary model for one-pion photoand electroproduction. The predictions of the model agree with the asymmetries and the spin sturcture functions recently measured at SLAC, and the first moments of the calculated spin structure functions fullfil the Gerasimov-DrellHearn and Burkhardt-Cottingham sum rules within an error of typically 510 %. PACS numbers: 13.60.Le, 14.20.GK, 13.60.Hb Typeset using REVTEX ∗Permanent address: Laboratory of Theoretical Physics, JINR Dubna, Head Post Office Box 79, SU-101000 Moscow, Russia.