Longitudinal momentum densities in transverse plane for nucleons

Abstract

We present a study of longitudinal momentum densities ($p^{+}\mathrm{densities}$) in the transverse impact parameter space for $u$ and $d$ quarks in both unpolarized and transversely polarized nucleons by taking a two dimensional Fourier transform of the gravitational form factors with respect to the momentum transfer in the transverse direction. The gravitational form factors are obtained by the second moments of GPDs. Here we consider the GPDs of two different soft-wall models in AdS/QCD correspondence.

12 pages, 9 figures; text modified

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