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

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