Electromagnetic and gravitational form factors by using the modified Gaussian ansatz for $H^q(x,t)$

In this study, the contribution of the u and d quark electromagnetic form factors for the proton and neutron has been studied as well as regaining the nucleon form factors by considering the modified Gaussian ansatz based on GPDs and using an appropriate PDFs in which we consider the minimum parameters in comparison with other proposed parameterizations in calculating form factors. Our obtained results for u and q quark show suitable agreement with experimental data in the range $0{\text{GeV}}^2<-t<4.5{\text{GeV}}^2$ of momentum transfer. Additionally, we calculate the $N\to \Delta$ magnetic transition form factor, the gravitational form factor, and transverse density for quarks of nucleon. Finally, we compare our result with other previous works by considering the advantage of our used parameterization for u and d quark, proton, and neutron.