2018
DOI: 10.1016/j.nuclphysb.2018.07.003
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Generalized parton distributions of pion for non-zero skewness in AdS/QCD

Abstract: We study the generalized parton distributions (GPDs) of pion for non-zero skewness by considering the leading |qq Fock state component. Inspired from AdS/QCD light-front wave functions, we calculate the pion GPDs. By taking the Fourier transforms we obtain the results for impact-parameter dependent parton distribution functions (ipdpdf) and for GPDs in longitudinal boost-invariant space. We also calculate the charge density and gravitational form factor of the pion. The pion unpolarized transverse momentum dis… Show more

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Cited by 25 publications
(20 citation statements)
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“…This is because of the presence of strange quark having larger mass, while with increasing −t, the peaks along x get shifted to larger values of x same as pion unpolarized GPD. This is a model-independent behavior of GPDs which has been observed in other phenomenological models for the pion [110] as well as for the nucleon [158][159][160][161]. We also observe that, similar to the unpolarized quark GPD H, the transversely polarized quark GPD E T is broader in pion than that in kaon.…”
Section: Generalized Parton Distributionssupporting
confidence: 85%
See 1 more Smart Citation
“…This is because of the presence of strange quark having larger mass, while with increasing −t, the peaks along x get shifted to larger values of x same as pion unpolarized GPD. This is a model-independent behavior of GPDs which has been observed in other phenomenological models for the pion [110] as well as for the nucleon [158][159][160][161]. We also observe that, similar to the unpolarized quark GPD H, the transversely polarized quark GPD E T is broader in pion than that in kaon.…”
Section: Generalized Parton Distributionssupporting
confidence: 85%
“…[109]. Recently, the GPDs of the pion for zero skewedness [87] and for nonzero skewedness [110] have been studied with the AdS/QCD approach. Furthermore, the studies on pion and kaon GPDs are explained in the Poincaré covariant Bethe-Salpeter constituent quark model by considering the support parameter of pseudoscalar mesons [111].…”
Section: Introductionmentioning
confidence: 99%
“…Meanwhile, the peaks along x get shifted to larger values of x with increasing −t similar to that observed in the pion GPD. This seems to be a model independent behavior of the GPDs which has been noticed in other phenomenological models for the pion [12] as well as for the nucleon [115][116][117][118]. We also notice that the GPD E T for the up quark in the kaon exhibits a behavior similar to that observed in the pion, however, the magnitude of E T u in the kaon is larger than that in the pion.…”
Section: A Gpds and Generalised Form Factorssupporting
confidence: 82%
“…The pion GPDs have been attempted using covariant and light-front constituent quark models [104], two chiral quark models-NJL model and spectral quark model [89]. Recently, the GPDs of pion for zero skewedness [85] and for non-zero skewedness [105] have been studied with AdS/QCD approach. Furthermore, the studies on pion and kaon GPDs are explained in Poincaré covariant Bethe-Salpeter constituent quark model by considering the support parameter of pseudoscalar mesons [106].…”
Section: Introductionmentioning
confidence: 99%