Generalized parton distributions for the proton in AdS/QCD

We investigate the Wigner distributions for u and d quarks in a light front quark-diquark model of a proton to unravel the spatial and spin structure. The light-front wave functions are modeled from the soft-wall AdS/QCD prediction. We consider the contributions from both the scalar and the axial vector diquarks. The Wigner distributions for unpolarized, longitudinally polarized and transversely polarized proton are presented in transverse momentum plane as well as in transverse impact parameter plane. The Wigner distributions satisfy a Soffer bound type inequality. We also evaluate all the leading twist GTMDs and show their scale evolution. The spin-spin correlations between the quark and the proton are investigated.

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“…We use the AdS/QCD scale parameter κ = 0.4 GeV as determined in [25] and the quarks are assumed to be massless.…”

Section: Light-front Quark-diquark Model For Nucleonmentioning

confidence: 99%

Quark Wigner distributions and spin-spin correlations

et al. 2017

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“…One can also constrain the information on GPDs for valence quarks indirectly via the sum rules that connect them with form factors. This procedure has been used to investigate the GPDs in the hard-wall model [29] and soft-wall model [30,31]. It is significant to mention here that in the hard-wall model, an IR boundary z 0 = 1/Λ QCD is put in the AdS space, while in the soft-wall model, a soft IR cutoff in the fifth dimension is introduced by a background dilation field or confining potential [32].…”

Section: Introductionmentioning

confidence: 99%

Generalized parton distributions in the soft-wall model of AdS/QCD

Sharma

2014

Phys. Rev. D

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We present a numerical analysis of helicity independent nucleon generalized parton distributions (GPDs) using the known formalism based on inclusion of higher Fock states in the soft-wall approach of the anti-de Sitter/QCD model. We calculate the momentum space GPDs by matching the electromagnetic form factors in the AdS model to the sum rules in QCD. We investigate their Mellin moments, transverse impact parameter GPDs, transverse mean square radius, and transverse width. We further extend this work to investigate the charge and anomalous magnetization densities for both unpolarized and transversely polarized nucleons. A comparison of results on density functions with phenomenological parametrization is also presented.

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“…This has lead to analytical expressions for GPDs in the soft-wall model 19 and hard-wall model. 20 Recently, a variant of the holographic soft-wall model has been introduced by Gutsche et al 21 in which the contribution of the higher Fock states has been incorporated via studying the dynamics of 5D fermion fields of different scaling dimension.…”

Section: 17mentioning

confidence: 99%

Generalized Parton Distributions for Nucleon in the Impact Parameter Space

Sharma

2016

Int. J. Mod. Phys. Conf. Ser.

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We investigate the generalized parton distributions (GPDs) for the proton and neutron in both momentum and position space in the soft-wall approach of anti-de Sitter/QCD model. The soft-wall model is based upon an action which incorporates confinement through the presence of a background dilaton field and the contribution of higher Fock states are holographically incorporated via studying the dynamics of 5D fermion fields of different scaling dimension. Our results are comparable with the other phenomenological models of the nucleon GPDs.

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Generalized parton distributions for the proton in AdS/QCD

Abstract: We present a study of proton generalized parton distributions( GPDs) in both momentum and position spaces using the proton wave function obtained from AdS/ QCD. Here we consider the soft wall model. The results are compared with a phenomenological model of proton GPDs.

Cited by 93 publications

References 50 publications

Quark Wigner distributions and spin-spin correlations

Quark Wigner distributions and spin-spin correlations

Generalized parton distributions in the soft-wall model of AdS/QCD

Generalized Parton Distributions for Nucleon in the Impact Parameter Space

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