Radiative capture of twisted electrons by bare ions

Matula, Oliver; Hayrapetyan, Armen G.; Serbo, Valeriy G.; Surzhykov, A.; Fritzsche, S.

doi:10.1088/1367-2630/16/5/053024

Cited by 39 publications

(37 citation statements)

References 36 publications

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“…By comparing Eqs. (19) and (22) we see that the phase of the interference pattern for a Bessel beam with odd OAM projections is shifted by π/2 with respect to that of plane-wave electrons. This leads to the inversion of maxima and minima in the electron emission spectra as displayed in Fig.…”

Section: A Scattering By a Well-localized H2 Moleculementioning

confidence: 85%

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Elastic scattering of twisted electrons by diatomic molecules

et al. 2018

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The elastic scattering of twisted electrons by diatomic molecules is studied within the framework of the non-relativistic first Born approximation. In this process, the coherent interaction of incident electrons with two molecular centers may cause interference patterns in the angular distributions of outgoing particles. We investigate how this Young-type interference is influenced by the complex internal structure of twisted beams. In particular, we show that the corkscrew-like phase front and the inhomogeneous intensity profile of the incident beam can strongly modify the angular distribution of electrons, scattered off a single well-localized molecule. For the collision with a macroscopic target, composed of randomly distributed but aligned molecules, the angular-differential cross section may reveal valuable information about the transverse and longitudinal momenta of twisted states. In order to illustrate the difference between the scattering of twisted and plane-wave beams for both, single-molecule and macroscopic-target scenarios, detailed calculations have been performed for a H2 target.

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Section: A Scattering By a Well-localized H2 Moleculementioning

confidence: 85%

“…lay on the surface of a cone with the opening angle tan θ k = κ/k z . During the recent years Bessel beams of electrons have been discussed in a number of theoretical works [7,15,19]. We refer to these publications for all further details about the properties of Bessel electron states.…”

Section: Monochromatic Bessel Electronsmentioning

confidence: 99%

Elastic scattering of twisted electrons by diatomic molecules

et al. 2018

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“…[17][18][19][20]). In the case of the twisted incident electron, only the nonrelativistic study within the first Born approximation was performed [14]. Here we are focused on the systematic relativistic description of the twisted electron RR with bare nuclei beyond the Born approximation.…”

Section: Basic Formalismmentioning

confidence: 99%

Radiative recombination of twisted electrons with bare nuclei: Going beyond the Born approximation

2017

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We present a fully relativistic investigation of the radiative recombination of a twisted electron with a bare heavy nucleus. The twisted electron is described by the wave function which accounts for the interaction with the nucleus in all orders in αZ. We use this wave function to derive the probability of the radiative recombination with a single ion being shifted from the twisted electron propagation direction. We also consider more realistic experimental scenarios where the target is either localized (mesoscopic) or infinitely wide (macroscopic). The situation when the incident electron is a coherent superposition of two vortex states is considered as well. For the nonrelativistic case we present analytical expressions which support our numerical calculations. We study in details the influence of the electron twistedness on the polarization and angular distribution of the emitted photon.It is found that these properties of the outgoing photon might be very sensitive to the total angular momentum and kinematic properties of twisted beams. Therefore, the recombination of the twisted electrons can serve as a valuable tool for atomic investigations as well as for the diagnostics of the vortex electron beams.

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“…It means that wave packets in the form of twisted electrons emerge as a new tool in atomic physics. One of the first atomic processes with twisted electrons -the radiative capture of twisted electrons by bare ions with the emission of a photon -was recently studied in the theoretical paper [13].…”

Section: Introductionmentioning

confidence: 99%

Scattering of wave packets on atoms in the Born approximation

2015

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Laser photons carrying non-zero orbital angular momentum are known and exploited during the last twenty years. Recently it has been demonstrated experimentally that such (twisted) electrons can be produced and even focused to a subnanometer scale. Thus, twisted electrons emerge as a new tool in atomic physics. The state of a twisted electron can be considered as a specific wave packet of plane waves. In the present paper-I we consider elastic scattering of the wave packets of fast non-relativistic particles on a potential field. We obtain simple and convenient formulae for a number of events in such a scattering. The equations derived represent, in fact, generalization of the well-known Born approximation for the case when finite sizes and inhomogeneity of the initial packet should be taken into account. To illustrate the obtained results, we consider two simple models corresponding to scattering of a Gaussian wave packet on the Gaussian potential and on the hydrogen atom. The scattering of twisted electrons on atoms will be considered in the next paper-II.

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Radiative capture of twisted electrons by bare ions

Cited by 39 publications

References 36 publications

Elastic scattering of twisted electrons by diatomic molecules

Elastic scattering of twisted electrons by diatomic molecules

Radiative recombination of twisted electrons with bare nuclei: Going beyond the Born approximation

Scattering of wave packets on atoms in the Born approximation

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