Abstract
We study the Wigner distributions for a physical electron, which reveal the multidimensional images of the electron. The physical electron is considered as a composite system of a bare electron and photon. The Wigner distributions for unpolarized, longitudinally polarized and transversely polarized electron are presented in transverse momentum plane as well as in impact-parameter plane. The spin–spin correlations between the bare electron and the physical electron are discussed. We also evaluate all the leading twist generalized transverse momentum distributions (GTMDs) for electron.
Highlights
What is the shape of an electron? Most probably our answer is spherical but electron is a point particle having no underlying substructure
We investigate the Wigner distribution of an electron, which provide the multidimensional images on the distribution of quantum electrodynamics (QED) partons in the dressed electron
We present the Wigner distribution in impact-parameter plane with fixed transverse momentum and in transverse momentum plane with fixed value of impact-parameter
Summary
What is the shape of an electron? Most probably our answer is spherical but electron is a point particle having no underlying substructure. This model is act as a guideline to nucleon strcture because electron-photon component of the physical electron can be used as a component of the nucleon wave function consists of a quark and a vector diquark and it probes the structure of nucleon and widely used for the calculations of gravitational form factors and spin and orbital angualr momentum of a composite relativistic system [41], GPDs [42, 43], ipdpdfs [44], charge and magnetization densities [45] This approach has been used to understand the electron TMDs in momentum plane [46].
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