Emission of twisted photons by a scalar charged particle in a strong magnetic field

Abstract

We consider the emission of a photon by a scalar charged particle in a constant and uniform magnetic field. In contrast to the conventional approach with both photon and outgoing charge being assumed to be detected, we study the case where only the charge is detected and investigate the properties of the emitted photon. The background magnetic field is taken into account exactly in the calculations and the charge is described by relativistic Landau states. It is shown that the emitted photon state represents a twisted Bessel beam with a total angular momentum given by $\ell -{\ell }^{\prime }$, where $\ell$ and ${\ell }^{\prime }$ are angular momentum quantum numbers of the initial and final charged particle, respectively. The majority of photons emitted by unpolarized charges, especially in the hard X-ray and $\gamma$-ray range and in critical and sub-critical magnetic fields, as compared to the Schwinger value of $H_c=4.4\times 10^9$ T, turn out to be twisted with $\ell -{\ell }^{\prime }\gtrsim 1$.

A typo in the numerical code has been corrected. Some lines in Fig.3-7 have changed

References in corpus (12)

• Landau Level Splitting in Graphene in High Magnetic Fields
• Landau level spectroscopy of ultrathin graphite layers
• Angular Momentum of Twisted Radiation from an Electron in Spiral Motion
• Electron vortex beams in a magnetic field: A new twist on Landau levels and Aharonov-Bohm states
• Melting of a 2D Quantum Electron Solid in High Magnetic Field
• Semiclassical probability of radiation of twisted photons in the ultrarelativistic limit
• Shifting physics of vortex particles to higher energies via quantum entanglement
• Generation of vortex particles via generalized measurements
• Evolution of the accelerated charged vortex particle in an inhomogeneous magnetic lens
• The angular momentum of electron radiation in a uniform magnetic field
• Algebraic Approach to Relativistic Landau Levels in the Symmetric Gauge
• Angular momentum transfered by the field of a moving point charge

Cited by in corpus (6)

• Shifting physics of vortex particles to higher energies via quantum entanglement
• Emission of twisted photons by a Dirac electron in a strong magnetic field
• Photon emission by vortex particles accelerated in a linac
• Angular momentum dynamics of vortex particles in accelerators
• Geometry-Enabled Radiation from Structured Paraxial Electrons
• Bound-state solutions for the charged Dirac oscillator in a rotating frame in the Bonnor-Melvin-Lambda spacetime