Q²-dependence of the Gerasimov-Drell-Hearn sum rule

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dc.contributor.authorMa, W.
dc.contributor.authorLu, D.
dc.contributor.authorThomas, A.
dc.contributor.authorLi, Z.
dc.date.issued1998
dc.description.abstractWe test the Gerasimov-Drell-Hearn (GDH) sum rule numerically by calculating the total photon absorption cross sections σ<inf>1/2</inf> and σ<inf>3/2</inf> on the nucleon via photon excitation of baryon resonances in the constituent quark model. A total of seventeen, low-lying, non-strange baryon resonances are included in this calculation. The transverse and longitudinal interference cross section, σ<sup>TL</sup><inf>1/2</inf>, is found to play an important role in the study of the Q<sup>2</sup> variation of the sum rule. The results show that the GDH sum rule is saturated by these resonances at a confidence level of 94%. In particular, the P<inf>33</inf>(1232) dominates at small Q<sup>2</sup>. The GDH integral has a strong Q<sup>2</sup>-dependence below Q<sup>2</sup> = 1.0 GeV<sup>2</sup> and changes its sign around Q<sup>2</sup> = 0.3 GeV<sup>2</sup>. It becomes weakly Q<sup>2</sup>-dependent for Q<sup>2</sup> > 1.0 GeV<sup>2</sup> because of the quick decline of the resonance contributions. © 1998 Published by Elsevier Science B.V.
dc.description.statementofresponsibilityW.X. Ma, D.H. Lu, A.W. Thomas, Z.P. Li
dc.identifier.citationNuclear Physics A, 1998; 635(4):497-508
dc.identifier.doi10.1016/S0375-9474(98)00202-4
dc.identifier.issn0375-9474
dc.identifier.issn1873-1554
dc.identifier.orcidThomas, A. [0000-0003-0026-499X]
dc.identifier.urihttp://hdl.handle.net/2440/10859
dc.language.isoen
dc.publisherElsevier
dc.source.urihttps://doi.org/10.1016/s0375-9474(98)00202-4
dc.titleQ²-dependence of the Gerasimov-Drell-Hearn sum rule
dc.title.alternativeQ(2)-dependence of the Gerasimov-Drell-Hearn sum rule
dc.typeJournal article
pubs.publication-statusPublished

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