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

Abstract

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.

version to appear in Phys. Rev. D

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• First extraction of valence transversities in a collinear framework
• Beyond-Standard-Model Tensor Interaction and Hadron Phenomenology
• Limits on TMD Evolution From Semi-Inclusive Deep Inelastic Scattering at Moderate $Q$
• A light front quark-diquark model for the nucleons
• Photoproduction of a pi rhoT pair with a large invariant mass and transversity generalized parton distribution
• Modelling the nucleon structure
• Novel two-to-three hard hadronic processes and possible studies of generalized parton distributions at hadron facilities
• Tensor charges of light baryons in the Infinite Momentum Frame
• Tensor charges and form factors of SU(3) baryons in the self-consistent SU(3) chiral quark-soliton model
• Spatial imaging of proton via leading-twist non-skewed GPDs with basis light-front quantization
• Anomalous tensor magnetic moments and form factors of the proton in the self-consistent chiral quark-soliton model
• Spin-flavor structure of chiral-odd GPDs in the large-N_c limit
• Transverse strange quark spin structure of the nucleon
• How is transversity related to helicity for quarks and antiquarks inside the proton?
• New ways to access the transverse spin content of the nucleon
• Instanton induced transverse single spin asymmetry for ${\pi }^0$ production in $pp$-scattering