Gravitational form factors and transverse spin sum rule in a light front quark-diquark model in AdS/QCD

Abstract

The gravitational form factors are related to the matrix elements of the energy-momentum tensor $T^{\mu \nu }$. Using the light front wave functions of the scalar quark-diquark model for nucleon predicted by the soft-wall AdS/QCD, we calculate the flavor dependent $A(Q^2)$, $B(Q^2)$ and $\bar{C}(Q^2)$ form factors. We also present all the matrix element of the energy-momentum tensor in a transversely polarized state. Further, we evaluate the matrix element of Pauli-Lubanski operator in this model and show that the intrinsic spin sum rule involves the form factor $\bar{C}$. The longitudinal momentum densities in the transverse impact parameter space are also discussed for both unpolarized and transversely polarized nucleons.

arXiv comment28 pages, 7 figures

References in corpus (24)

• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Light-Cone Representation of the Spin and Orbital Angular Momentum of Relativistic Composite Systems
• Charge Density of the Neutron
• Light-Cone Wavefunction Representation of Deeply Virtual Compton Scattering
• Transverse Deformation of Parton Distributions and Transversity Decomposition of Angular Momentum
• Proton Spin Structure from Measurable Parton Distributions
• Empirical transverse charge densities in the nucleon and the nucleon-to-$\Delta$ transition
• Exact Light-Cone Wavefunction Representation of Matrix Elements of Electroweak Current
• Light-front quark model consistent with Drell-Yan-West duality and quark counting rules
• A critique of the angular momentum sum rules and a new angular momentum sum rule
• Generalized Parton Distributions for the Proton in AdS/QCD
• Generalized Parton Distributions and Description of Electromagnetic and Graviton form factors of nucleon
• Lorentz Symmetry and the Internal Structure of the Nucleon
• Nucleon and flavor form factors in a light front quark model in AdS/QCD
• Hadronic Momentum Densities in the Transverse Plane
• Transverse Polarization of the Nucleon in Parton Picture
• Twist-three relations of gluonic correlators for the transversely polarized nucleon
• Chiral dynamics and peripheral transverse densities
• On transverse spin sum rules
• A critical assessment of the angular momentum sum rules
• Transverse Spin in QCD and Transverse Polarized Deep Inelastic Scattering
• Transverse Spin in QCD: Radiative Corrections
• Transverse charge and magnetization densities in holographic QCD

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