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Impact-parameter dependence of the generalized parton distribution of the pion in chiral quark models
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We compute the off-forward diagonal non-singlet generalized parton distribution of the pion in two distinct chiral quark models: the Nambu-Jona-Lasinio model with the Pauli-Villars regulator and the Spectral Quark Model. The analysis is carried out in the impact-parameter space. Leading-order perturbative QCD evolution is carried out via the inverse Mellin transform in the index space. The model predictions agree very reasonably with the recent results from transverse-lattice calculations, reproducing qualitatively both the Bjorken-x and the impact-parameter dependence of the data.
Forward citations
Cited by 2 Pith papers
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Extraction of Pion Unpolarized Quark and Gluon Generalized Parton Distributions using Deep Neural-Networks
A DNN fit to pion form-factor and lattice data produces quark and gluon GPDs; quark results agree with lattice, gluon results rely on a fitted normalization factor.
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Generalized parton distributions of the kaon and pion within the nonlocal chiral quark model
The paper extends the nonlocal chiral quark model to strange quarks and computes kaon and pion generalized parton distributions, their QCD evolution, and strange-to-light gravitational form factor ratios.
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