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High Energy Physics - Phenomenology

arXiv:hep-ph/0510155 (hep-ph)
[Submitted on 12 Oct 2005 (v1), last revised 20 Sep 2006 (this version, v2)]

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

Authors:Susumu Koretune
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Abstract: 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 $Q^2$.
Comments: Eq.(14) is corrected. Though the effect of this correction is very small,Figs.1 and 2 are replaced
Subjects: High Energy Physics - Phenomenology (hep-ph); Nuclear Theory (nucl-th)
Cite as: arXiv:hep-ph/0510155
  (or arXiv:hep-ph/0510155v2 for this version)
  https://doi.org/10.48550/arXiv.hep-ph/0510155
Journal reference: Phys.Rev.C72:045205,2005; Erratum-ibid.C74:059901,2006
Related DOI: https://doi.org/10.1103/PhysRevC.72.045205 https://doi.org/10.1103/PhysRevC.74.059901

Submission history

From: Susumu Koretune [view email]
[v1] Wed, 12 Oct 2005 12:17:13 UTC (12 KB)
[v2] Wed, 20 Sep 2006 00:27:11 UTC (12 KB)
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