On The $Q^2$ Dependence of The Spin Structure Function In The Resonance Region

Abstract

In this paper, we show what we can learn from the CEBAF experiments on spin-structure functions, and the transition from the Drell-Hearn-Gerasimov sum rule in the real photon limit to the spin dependent sum rules in the deep inelastic scattering, and how the asymmetry $A_1(x,Q^2)$ approaches the scaling limit in the resonance region. The spin structure function in the resonance region alone can not determine the spin-dependent sum rule due to the kinematic restriction of the resonance region. The integral ${\int }_0^1\frac{A_1(x,Q^2)F_2(x,Q^2)}{2x(1+R(x,Q^2))}dx$ is estimated from $Q^2=0$ to $2.5$ GeV${}^2$. The result shows that there is a region where both contributions from the baryon resonances and the deep inelastic scattering are important, thus provides important information on the high twist effects on the spin dependent sum rule.

12 pages, 4 postscript figures can be obtained from author

References in corpus (5)

• Consistent Analysis of the Spin Content of the Nucleon
• ERRATUM TO: Power corrections $1/Q^2$ to parton sum rules for deep inelastic scattering from polarized targets
• Proton structure function at small Q^2
• Analysis of Data on Polarized Lepton-Nucleon Scattering
• Small Momentum Evolution of the Extended Drell--Hearn--Gerasimov Sum Rule

Cited by in corpus (8)

• Measurements of the Proton and Deuteron Spin Structure Functions g1 and g2
• Determination of ${\alpha }_s$ and the Nucleon Spin Decomposition Using Recent Polarized Structure Function Data
• Generalized Sum Rules for Spin-Dependent Structure Functions of the Nucleon
• Measurement of the Proton and Deuteron Spin Structure Function g_1 in the Resonance Region
• Determination of the Deep Inelastic Contribution to the Generalised Gerasimov-Drell-Hearn Integral for the Proton and Neutron
• The Generalized Gerasimov-Drell-Hearn Integral and the Spin Structure of the Nucleon
• Longitudinal Transitions Of Baryon Resonances in Constituent Quark Model
• $Q^2$--Dependence of the Gerasimov-Drell-Hearn Sum Rule