Experimental study of isovector spin sum rules

Abstract

We present the Bjorken integral extracted from Jefferson Lab experiment EG1b for $0.05<Q^2<2.92$ GeV${}^2$. The integral is fit to extract the twist-4 element $f_2^{p-n}$ which appears to be relatively large and negative. Systematic studies of this higher twist analysis establish its legitimacy at $Q^2$ around 1 GeV${}^2$. We also performed an isospin decomposition of the generalized forward spin polarizability ${\gamma }_0$. Although its isovector part provides a reliable test of the calculation techniques of Chiral Perturbation Theory, our data disagree with the calculations.

7 pages, 4 figures. Version changed to longer version published in PRD

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• Precise determination of the spin structure function ${\mathbf{g}}_1$ of the proton, deuteron and neutron
• Dispersion-Theoretical Analysis of the Nucleon Electromagnetic Formfactors
• Precision Determination of the Neutron Spin Structure Function g1n
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• Optimized determination of the polarized Bjorken sum rule in pQCD
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• Evaluation of Bjorken polarised sum rule with a renormalon-motivated approach
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• The N* Physics Program at Jefferson Lab
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