Addendum to “Scattering of twisted particles: Extension to wave packets and orbital helicity”

Abstract

In a recent work [Phys. Rev. A 84, 033804 (2011)] we considered elastic scattering of a twisted particle from a plane wave and studied how the orbital helicity of the twisted particle changes after scattering. We showed that for realistic beams the relative change can be small, $|{m}^{\ensuremath{'}}\ensuremath{-}m|/m\ensuremath{\ll}1$, thus resolving a controversy which existed in the literature. In this Addendum, using a more accurate analysis, we argue that in the kinematics of Compton backscattering a stronger statement is true: in fact ${m}^{\ensuremath{'}}\ensuremath{\approx}m$, and the difference $|{m}^{\ensuremath{'}}\ensuremath{-}m|$ even by a single unit is already suppressed.