Abstract
Particles in quantum vortex states (QVSs) carrying definite orbital angular momenta (OAM) bring different perspectives in various fundamental interaction processes. When unique properties arise in the QVS, understanding how OAM manifests itself between initial particles and the outcome in vortex particle collisions becomes essential. This is made possible by applying the complete vortex description for all involved particles such that angular momenta (AM) are represented by explicit quantum numbers and their connections are naturally retrieved. We demonstrate the full-vortex quantum-electrodynamics (QED) results for the Breit-Wheeler pair creation process and derive the AM-dependent selection rule. The numerically resolved cross sections show antisymmetric spin polarization and, most importantly, the OAM spectra in vortex collision processes. The latter reveals efficient conversion of OAM to created pairs, leading to featured hollow and ring-shaped structure in the density distribution. These results demonstrate a clear picture in understanding the AM physics in the scattering processes of high energy particles.
Highlights
The experimental advances in production and measurement of electrons carrying orbital angular momentum (OAM) [1,2,3,4] have attracted extensive interest in this decade
The latter depends on resolving the complete vortex scattering in which all interacting particles are described by the quantum vortex states (QVSs), as a plane wave does not carry orbital angular momenta (OAM)
We have examined the vortex BW pair creation process based on the QED theory
Summary
The experimental advances in production and measurement of electrons carrying orbital angular momentum (OAM) [1,2,3,4] have attracted extensive interest in this decade. Governed by the conservation law of total angular momentum (TAM), this important connection can be revealed from the angular momentum (AM) dependent cross sections The latter depends on resolving the complete vortex scattering in which all interacting particles are described by the QVS, as a plane wave does not carry OAM. To describe the annihilation of two QVS gamma photons into a QVS electron-positron pair, we employ the vortex states for both and derive the scattering cross section within the theoretical framework of QED. This allows AM to be explicitly expressed by the quantum numbers and inherently conserved. The generated pairs exhibit periodic ring-shape and hollow structure in the density distribution, providing a unique feature for identifying the vortex scattering process
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