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arXiv · 0710.3103

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

C. Cebulla·J. Ossmann·P. Schweitzer·D. Urbano
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Abstract

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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C. Cebulla, J. Ossmann, P. Schweitzer, D. Urbano. 2007-10-16. The twist-3 parton distribution function e(x) in large-Nc chiral theory. https://arxiv.org/abs/0710.3103

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