Speaker
Description
The boost invariant longitudinal position space variable $\sigma=\frac{1}{2} b^- P^+$, the Fourier conjugate to skewness $\xi$, unravels the longitudinal impact parameter information in a proton. The Fourier transform of the GTMDs with respect to the skewness variable $\xi$ can be employed to provide the Wigner distributions in the boost-invariant longitudinal position space $\sigma$, the coordinate conjugate to light-front time, $\tau=t+z/c$.
We investigate the skewness sensitivity of leading twist GTMDs considering a momentum transfer to longitudinal and transverse directions in a light-front quark-diquark model for the nucleon motivated by soft-wall AdS/QCD.
The Wigner distributions in T-even and T-odd sectors in the longitudinal position space exhibit diffraction patterns, which are analogous to the diffractive scattering of a wave in optics. An additional effect on the diffraction pattern is reported caused by interference between transverse momentum transfer ${\bf d_\perp}$ to the transverse momentum ${\bf p_\perp}$ of quarks.
