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Singularities in Twist-3 Quark Distributions

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arxiv 1811.00938 v1 pith:4W5KC75R submitted 2018-11-02 nucl-th hep-ph

Fatma Aslan , Matthias Burkardt This is my paper · ORCID
classification nucl-thhep-ph
keywords twist-3momentumdeltadiracdiscontinuitiesfunctionnucleonboosted
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We find in one-loop calculations and spectator models that twist-3 GPDs exhibit discontinuities. In the forward limit these discontinuities grow into Dirac delta functions which are essential to satisfy the sum rules involving twist-3 PDFs. We calculate twist-3 quasi-PDFs as a function of longitudinal momentum and identify the Dirac delta function terms with momentum components in the nucleon state that do not scale as the nucleon is boosted to the infinite momentum frame.

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Cited by 1 Pith paper

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  1. Twist-3 generalized parton distributions of sea quarks at zero skewness in the light-cone quark model

    hep-ph 2025-04 conditional novelty 6.0 of 10

    A light-cone meson-baryon model is used to compute the eight nonzero twist-3 generalized parton distributions of ubar and dbar sea quarks at zero skewness, plus the derived e(x) and orbital angular momentum.

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