$Z_n$ symmetry in the vortex muon decay

Abstract

Polarization of a vortex state fermion has rich structure due to the nontrivial momentum distribution of wave function. This larger freedom provides an unique opportunity to prepare fermions in exotic polarized states, which do not exist for plane-wave state fermions. Based on the so called spin-orbit state which was studied both theoretically and experimentally, we put forward a peculiar vortex muon whose polarization exhibits $Z_n$ symmetry and study its decay. We investigate the azimuthal distribution of the emitted electrons and find that it exhibits the same symmetry ($Z_n$) as the initial state.

References in corpus (7)

• Colliding particles carrying non-zero orbital angular momentum
• Elastic scattering of vortex electrons provides direct access to the Coulomb phase
• Scattering of wave packets with phases
• Structured x-ray beams from twisted electrons by inverse Compton scattering of laser light
• Decay of the vortex muon
• Superkicks and the photon angular and linear momentum density
• Twisted electron impact single ionization coincidence cross-sections for noble gas atoms

Cited by in corpus (1)

• Angular momentum effects in neutron decay