Персона: Калашников, Николай Павлович
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Conversion of the Relativistic Electron Energy into a Single Photon during the Interaction with Periodic Heterogeneities in Crystals
© 2020, Pleiades Publishing, Ltd.Abstract: In the channeling model, the interaction between relativistic electrons and crystal axes and planes is described traditionally as the motion in an averaged continuous potential. However, real crystal axes and planes consist of individual atoms arranged periodically. The interaction of an electron with periodic heterogeneities is accompanied by the transfer, to the crystal, of strictly quantized portions of the momentum Δ p|| = 2πnћ/d, where n = 1, 2, 3, … and d is the period of the potential heterogeneity arrangement coinciding with that of the crystal lattice in the case of motion along the axis. A photon with the energy (Formula presented.) where E1 is the initial electron energy, is emitted in the case where quantum longitudinal momentum is transferred to the lattice. If E1 ~ 1 GeV or more, a kinetic electron energy of up to 90% transforms into the energy of a single photon during such a process.
Relativistic electron energy conversion in one photon in crystals
© 2020 IOP Publishing Ltd and Sissa Medialab.Interaction of relativistic electrons with crystal axis is traditionally described in terms of channeling model - i.e. as a motion in some homogeneous averaged axial potential. However, real crystals are made of atoms, positioned periodically. Interaction of electrons with periodical potential must be accompanied with transitions of discrete portions of momentum Δ p∥ = 2π nℏ /d, n = 1, 2, 3,, defined by the potential period d. Transmission of sufficient portion of longitudinal momentum to the lattice may be accompanied by the emission of photon with correspondingly high energy. In case of relativistic electrons with energies E1 ∼ GeV or more, nearly all the electron's energy may be converted into just one photon.
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Features of the Emission Spectrum during Channeling of Ultrarelativistic Leptons
© 2019, Pleiades Publishing, Inc.Abstract: The probability of photon emission by a channeled particle is calculated in the nondipole case. The emission of hard photons with energies comparable with the energy of the incident channeled particle is studied. The quasi-Bloch energy spectrum is calculated for an oriented fast charged particle entering a crystal at angles both smaller and larger than the Lindhard angle. The initial and final spectra of the channeled particle belong to different sets of the wavefunctions of the bands corresponding to different energies. The generation of photons by a quantum particle oriented with respect to the crystal and entering the crystal at angles both larger and smaller than the Lindhard angle are considered on the same basis. It is shown that the emission spectrum of hard photons consists of a set of distinct emission lines.
Classical and Quantum Description of the Channeling Effect as Mutually Complementary Approximations
Selection of an Adequate Interaction Potential to Describe Planar Channeling of Relativistic Particles
Radiation Produced When a Free Electron Is Captured in a Channeled State
Non-Dipole Features of the Photon Emission Spectrum of a Fast Oriented Lepton in a Crystal
© 2019, Pleiades Publishing, Ltd.Abstract: The probability of the non-dipole emission of photons by channeled particle is calculated. The emission of hard photons with an energy comparable with that of the incident channeled particle is studied. The quasi-Bloch energy spectrum of an oriented fast charged particle entering a crystal at an angle smaller and greater than the Lindhard angle is calculated. The initial and final spectra of the channeled particle are described by different sets of band wave functions corresponding to different energies. The processes of photon generation by a quantum particle entering into the crystal at an angle larger and smaller than the Lindhard angle are considered on an equal basis. The spectrum of hard-photon emission is shown to consist of a set of well-observed emission lines.
Relationships of Macroscopic Characteristics of a Solid with the Binding Energy of an Ion in a Metal Lattice
A correlation between macroscopic parameters, such as the Young's modulus in the Hook law, the sound velocity, and the Debye temperature, and the binding energy of an individual atom is considered. The formula for calculation of elastic deformation modulus is proposed. The relationship between the sound velocity and the binding energy of an individual atom in a solid has been obtained. A simple formula is found for calculation of the sound velocity in a metallic rod. The correlation of the characteristic Debye temperature with the binding energy of an ion in a solid body lattice is proposed.