Pion and $η$ meson gravitational form factors from GPDs at non-zero skewness and distribution amplitudes within the Graviton Soft-Wall model

Abstract: We present the calculations of the pion and $η$ meson gravitational form factors (GFFs) from the evaluation of generalized parton distribution functions at non-zero skewness within the graviton soft-wall (GSW) model of hadron structure. Results for the pion have been successfully compared with lattice data for both the $A$ and $D$ GFFs. From these quantities, the mechanical properties of the pion, i.e., the pressure, shear-force, normal and tangential force distributions have been also investigated. Finally, we study also the $η$ meson GFFs to predict and observe differences between the pion and $η$ structures in the corresponding mechanical properties within the GSW model.