Higher moments of nucleon spin structure functions in heavy baryon chiral perturbation theory and in a resonance model

Details Higher moments of nucleon spin structure functions in heavy baryon chiral perturbation theory and in a resonance model Higher moments of nucleon spin structure functions in heavy baryon chiral perturbation theory and in a resonance model

2003-12-08

arxiv.org/abs/hep-ph/0312102v1

Phys.Rev. D69 (2004) 056004

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, 7 figures

Scientific paper

10.1103/PhysRevD.69.056004

The third moment $d_2$ of the twist-3 part of the nucleon spin structure function $g_2$ is generalized to arbitrary momentum transfer $Q^2$ and is evaluated in heavy baryon chiral perturbation theory (HBChPT) up to order ${\mathcal{O}}(p^4)$ and in a unitary isobar model (MAID). We show how to link $d_2$ as well as higher moments of the nucleon spin structure functions $g_1$ and $g_2$ to nucleon spin polarizabilities. We compare our results with the most recent experimental data, and find a good description of these available data within the unitary isobar model. We proceed to extract the twist-4 matrix element $f_2$ which appears in the $1/Q^2$ suppressed term in the twist expansion of the spin structure function $g_1$ for proton and neutron.

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