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

The gravitational form factors are related to the matrix elements of the energy-momentum tensor T^μν. Using the light front wave functions of the scalar quark-diquark model for a nucleon predicted by the soft-wall AdS/QCD, we calculate the flavor-dependent A(Q²), B(Q²) and C̄(Q²) form factors. We also present all the matrix elements of the energy-momentum tensor in a transversely polarized state. Further, we evaluate the matrix element of the Pauli-Lubanski operator in this model and show that the intrinsic spin sum rule involves the form factor C̄. The longitudinal momentum densities in the transverse impact parameter space are also discussed for both unpolarized and transversely polarized nucleons.