English

$Z_n$ symmetry in the vortex muon decay

High Energy Physics - Phenomenology 2022-12-28 v2

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 ZnZ_n symmetry and study its decay. We investigate the azimuthal distribution of the emitted electrons and find that it exhibits the same symmetry (ZnZ_n) as the initial state.

Keywords

Cite

@article{arxiv.2204.13351,
  title  = {$Z_n$ symmetry in the vortex muon decay},
  author = {Pengcheng Zhao},
  journal= {arXiv preprint arXiv:2204.13351},
  year   = {2022}
}