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Target normal single-spin asymmetry in inclusive electron-nucleon scattering in the 1/Nc expansion

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arxiv 2404.03674 v1 pith:URP56AXI submitted 2024-03-26 hep-ph nucl-th

classification hep-phnucl-th
keywords expansionscatteringasymmetryamplitudeelectron-nucleonexchangeframeworkinclusive
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The target normal single-spin asymmetry in electron nucleon scattering is studied in the framework of the 1/Nc expansion of QCD, which allows for a rigorous description in the energy range that includes the Delta resonance and below the second baryon resonance region. The asymmetry is driven by the absorptive part of the two-photon exchange component of the scattering amplitude, being therefore the most unambiguous two-photon exchange effect. Such amplitude is shown to be described up to the next to leading order in the 1/Nc expansion only in terms of the charge and magnetic form factors of the nucleons, consequence of the approximate $SU(4)$ spin flavor symmetry valid in the large Nc limit for baryons. A discussion is provided of the 1/Nc expansion framework along with the results for the asymmetries in elastic, inelastic, and inclusive electron-nucleon scattering.

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