Fig. 1
From: Non-diffracting multi-electron vortex beams balancing their electron–electron interactions

Radial part of the shape-invariant wavefunctions of multi-electron beams. a Radial wavefunction (ϕ(ρ)) of the beam with zero OAM (blue), compared with the Bessel function which is the corresponding non-diffracting single-electron beam. b The unique over-wide radial wavefunction obtained for k T = 0, which does not allow OAM, and does not have a corresponding non-diffracting single-electron beam. c Radial wavefunctions of multi-electron beams carrying OAM = 0, 1, 3, 5 (blue, green, red and cyan, respectively)