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Title: Scattering of twisted particles: Extension to wave packets and orbital helicity

Abstract

High-energy photons and other particles carrying nonzero orbital angular momentum (OAM) emerge as a new tool in high-energy physics. Recently, it was suggested to generate high-energy photons with nonzero OAM (twisted photons) by the Compton backscattering of twisted optical photons on relativistic electron beams. Twisted electrons in the intermediate energy range have also been demonstrated experimentally; twisted protons and other particles can, in principle, be created in a similar way. Collisions of energetic twisted states can offer a new look at particle properties and interactions. A theoretical description of twisted particle scattering developed previously treated them as pure Bessel states and ran into difficulty when describing the OAM of the final twisted particle at nonzero scattering angles. Here we develop further this formalism by incorporating two additional important features. First, we treat the initial OAM state as a wave packet of a finite transverse size rather than a pure Bessel state. This realistic assumption allows us to resolve the existing controversy between two theoretical analyses for nonforward scattering. Second, we describe the final twisted particle in terms of the orbital helicity: the OAM projection on its average direction of propagation rather than on the fixed reaction axis. Using this formalism,more » we determine to what extent the twisted state is transferred from the initial to final OAM particle in a generic scattering kinematics. As a particular application, we prove that in the Compton backscattering the orbital helicity of the final photon stays close to the OAM projection of the initial photon.« less

Authors:
 [1];  [2];  [3];  [2]
  1. IFPA, Universite de Liege, Allee du 6 Aout 17, batiment B5a, B-4000 Liege (Belgium)
  2. (Russian Federation)
  3. Sobolev Institute of Mathematics, Koptyug avenue 4, 630090, Novosibirsk (Russian Federation)
Publication Date:
OSTI Identifier:
22072170
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BACKSCATTERING; ELECTRON BEAMS; ELECTRONS; HELICITY; ORBITAL ANGULAR MOMENTUM; PHOTONS; PROTONS; RELATIVISTIC RANGE; WAVE PACKETS

Citation Formats

Ivanov, I. P., Sobolev Institute of Mathematics, Koptyug avenue 4, 630090, Novosibirsk, Serbo, V. G., and Novosibirsk State University, Pirogova Street 2, 630090, Novosibirsk. Scattering of twisted particles: Extension to wave packets and orbital helicity. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.033804.
Ivanov, I. P., Sobolev Institute of Mathematics, Koptyug avenue 4, 630090, Novosibirsk, Serbo, V. G., & Novosibirsk State University, Pirogova Street 2, 630090, Novosibirsk. Scattering of twisted particles: Extension to wave packets and orbital helicity. United States. doi:10.1103/PHYSREVA.84.033804.
Ivanov, I. P., Sobolev Institute of Mathematics, Koptyug avenue 4, 630090, Novosibirsk, Serbo, V. G., and Novosibirsk State University, Pirogova Street 2, 630090, Novosibirsk. Thu . "Scattering of twisted particles: Extension to wave packets and orbital helicity". United States. doi:10.1103/PHYSREVA.84.033804.
@article{osti_22072170,
title = {Scattering of twisted particles: Extension to wave packets and orbital helicity},
author = {Ivanov, I. P. and Sobolev Institute of Mathematics, Koptyug avenue 4, 630090, Novosibirsk and Serbo, V. G. and Novosibirsk State University, Pirogova Street 2, 630090, Novosibirsk},
abstractNote = {High-energy photons and other particles carrying nonzero orbital angular momentum (OAM) emerge as a new tool in high-energy physics. Recently, it was suggested to generate high-energy photons with nonzero OAM (twisted photons) by the Compton backscattering of twisted optical photons on relativistic electron beams. Twisted electrons in the intermediate energy range have also been demonstrated experimentally; twisted protons and other particles can, in principle, be created in a similar way. Collisions of energetic twisted states can offer a new look at particle properties and interactions. A theoretical description of twisted particle scattering developed previously treated them as pure Bessel states and ran into difficulty when describing the OAM of the final twisted particle at nonzero scattering angles. Here we develop further this formalism by incorporating two additional important features. First, we treat the initial OAM state as a wave packet of a finite transverse size rather than a pure Bessel state. This realistic assumption allows us to resolve the existing controversy between two theoretical analyses for nonforward scattering. Second, we describe the final twisted particle in terms of the orbital helicity: the OAM projection on its average direction of propagation rather than on the fixed reaction axis. Using this formalism, we determine to what extent the twisted state is transferred from the initial to final OAM particle in a generic scattering kinematics. As a particular application, we prove that in the Compton backscattering the orbital helicity of the final photon stays close to the OAM projection of the initial photon.},
doi = {10.1103/PHYSREVA.84.033804},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}