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The Drell-Hearn-Gerasimov sum rule and the constituent quark model

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Abstract

The helicity structure function of the nucleon has been calculated for the constituent quark model and compared to the prediction of the Drell-Hearn-Gerasimov sum rule. The multipole decomposition of the sum rule shows large cancellations between different resonances. The small isoscalar-isovector contribution is related to the admixture of aD-state (“bag deformation”) in the nucleon's wave function. The calculations indicate a relatively slow saturation of this part of the sum rule with excitation energy.

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Work supported by Deutsche Forschungsgemeinschaft and Istituto Nazionale di Fisica Nucleare

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Drechsel, D., Giannini, M.M. The Drell-Hearn-Gerasimov sum rule and the constituent quark model. Few-Body Systems 15, 99–108 (1993). https://doi.org/10.1007/BF01076427

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  • DOI: https://doi.org/10.1007/BF01076427

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