A sign change of the moment at $n=0$ of the polarized structure function $g_1^{p}$

Details A sign change of the moment at $n=0$ of the polarized structure function $g_1^{p}$ A sign change of the moment at $n=0$ of the polarized structure function $g_1^{p}$

2005-10-12

arxiv.org/abs/hep-ph/0510155v2

Phys.Rev.C72:045205,2005; Erratum-ibid.C74:059901,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

Eq.(14) is corrected. Though the effect of this correction is very small,Figs.1 and 2 are replaced

Scientific paper

10.1103/PhysRevC.72.045205

The sum rule for the structure function $g_1^{p}$ which is related to the cross section of the photo-production is used to show that a sign change of the integral corresponding to the appropriately defined moment at $n=0$ where the integral is cut at the point $x=x_c(Q^2)$ occurs at very small $Q^2$ near $Q^2\sim 0.09$(GeV/c)$^2$ and $x_c\sim 0.024$. This fact shows that the origin of the sign difference between the Ellis-Jaffe sum rule and the Drell-Hearn-Gerasimov sum rule lies in the rapid change of the elastic contribution at low $Q^2$ which is compensated by the inelastic contribution to satisfy the sum rule at $n=0$. Hence it occurs at very small $Q^2$.

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