The $Q^2$-dependence of the generalised Gerasimov-Drell-Hearn integral for the deuteron, proton and neutron

dc.creatorHERMES collaboration
dc.creatorAirapetian, A.
dc.date2002-10-18
dc.date.accessioned2026-07-07T13:03:49Z
dc.date.available2026-07-07T13:03:49Z
dc.descriptionThe Gerasimov-Drell-Hearn (GDH) sum rule connects the anomalous contribution to the magnetic moment of the target nucleus with an energy-weighted integral of the difference of the helicity-dependent photoabsorption cross sections. The data collected by HERMES with a deuterium target are presented together with a re-analysis of previous measurements on the proton. This provides a measurement of the generalised GDH integral covering simultaneously the nucleon-resonance and the deep inelastic scattering regions. The contribution of the nucleon-resonance region is seen to decrease rapidly with increasing $Q^2$. The DIS contribution is sizeable over the full measured range, even down to the lowest measured $Q^2$. As expected, at higher $Q^2$ the data are found to be in agreement with previous measurements of the first moment of $g_1$. From data on the deuteron and proton, the GDH integral for the neutron has been derived and the proton--neutron difference evaluated. This difference is found to satisfy the fundamental Bjorken sum rule at $Q^2 = 5$ GeV$^2$.
dc.description12 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/hep-ex/0210047
dc.identifierhttp://arxiv.org/abs/hep-ex/0210047
dc.identifierEur.Phys.J.C26:527-538,2003
dc.identifierdoi:10.1140/epjc/s2002-01118-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226940
dc.subjectHigh Energy Physics - Experiment
dc.titleThe $Q^2$-dependence of the generalised Gerasimov-Drell-Hearn integral for the deuteron, proton and neutron
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