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.

28 pages, 7 figures

References in corpus (4)

• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Empirical transverse charge densities in the nucleon and the nucleon-to-$\Delta$ transition
• Generalized Parton Distributions and Description of Electromagnetic and Graviton form factors of nucleon
• Hadronic Momentum Densities in the Transverse Plane

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