Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space

We investigate the leading twist quark generalized transverse momentum distributions (GTMDs) at nonzero skewness in a light-front quark-diquark model for the nucleon motivated by soft-wall AdS/QCD. The boost-invariant longitudinal coordinate, $σ=\frac{1}{2} b^- P^+$, is identified as the Fourier conjugate of the skewness. The Fourier transform of the GTMDs with respect to the skewness variable $ξ$ can be employed to provide the Wigner distributions in the boost-invariant longitudinal position space $σ$, the coordinate conjugate to light-front time, $τ=t+z/c$. The Wigner distributions in the longitudinal position space exhibit diffraction patterns, which are analogous to the diffractive scattering of a wave in optics.

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