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arxiv: 0710.3103 · v1 · submitted 2007-10-16 · ✦ hep-ph

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The twist-3 parton distribution function e(x) in large-Nc chiral theory

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classification ✦ hep-ph
keywords distributionchiraldeltafunctionlarge-ncmodelpartonresults
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The chirally-odd twist-3 parton distribution function e(x) of the nucleon is studied in the large-Nc limit in the framework of the chiral quark-soliton model. It is demonstrated that in spite of properties not shared by other distribution functions, namely the appearance of a delta(x)-singularity and quadratic divergences in e(x), an equally reliable calculation is possible. Among the most remarkable results obtained in this work is the fact that the coefficient of the delta(x)-singularity can be computed exactly in this model, avoiding involved numerics. Our results complete existing studies in literature.

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