Chiral-odd generalized parton distributions, transversity decomposition of angular momentum, and tensor charges of the nucleon

Details Chiral-odd generalized parton distributions, transversity decomposition of angular momentum, and tensor charges of the nucleon Chiral-odd generalized parton distributions, transversity decomposition of angular momentum, and tensor charges of the nucleon

2008-11-26

arxiv.org/abs/0811.4196v2

Phys.Rev.D79:014033,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.79.014033

The forward limit of the chiral-odd generalized parton distributions (GPDs) and their lower moments are investigated within the framework of the chiral quark soliton model (CQSM), with particular emphasis upon the transversity decomposition of nucleon angular momentum proposed by Burkardt. A strong correlation between quark spin and orbital angular momentum inside the nucleon is manifest itself in the derived second moment sum rule within the CQSM, thereby providing with an additional support to the qualitative connection between chiral-odd GPDs and the Boer-Mulders effects. We further confirm isoscalar dominance of the corresponding first moment sum rule, which indicates that the Boer-Mulders functions for the $u$- and $d$-quarks have roughly equal magnitude with the same sign. Also made are some comments on the recent empirical extraction of the tensor charges of the nucleon by Anselmino et al. We demonstrate that a comparison of their result with any theoretical predictions must be done with great care, in consideration of fairly strong scale dependence of tensor charges, especially at lower renormalization scale.

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