Radiation of ultrarelativistic particles moving near crystalline axes

Baier, V.N.; Katkov, V. M.; Strakhovenko, V. M.

doi:10.1016/0375-9601(83)90419-x

Cited by 8 publications

(11 citation statements)

References 5 publications

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“…In the asymptotic limit of high magnetic field eB ≫ k 2 3 , B ≫ m 2 /e ≡ B 0 the eigenvalue κ 2 (0, k), as calculated within the one-loop approximation [10,11,12,13,14], with the accuracy of terms that grow with B only as its logarithm and slower is [19] …”

Section: General Representation For the Static Potential Of A Poimentioning

confidence: 99%

“…For this reason, when considering the electric field produced by a pointlike electric charge in the present paper, we address again to the polarization tensor calculated off-shell in [10,11,12,13,14], taking it in the static limit k 0 = 0, but keeping the dependence on k. The corresponding spatial dispersion effects will be essential for getting some important features of the modified Coulomb potential.…”

Section: Introductionmentioning

confidence: 99%

“…Stoneham [13] as the asymptote of the mode-2 eigenvalue calculated [10,11,12,13,14] in the one-loop approximation (see [23] for the detailed derivation of the large-field asymptotic behavior.) The most important, now widely accepted, fact about this asymptotic behavior (see, e.g., the monographs [20,26,27]) is that the mode-2 eigenvalue contains a term linearly growing with the magnetic field, seen already [4] if one deals with nondispersive small momentum approximation, inferrable from the Heisenberg-Euler Lagrangian.…”

Section: Introductionmentioning

confidence: 99%

“…The results obtained are appropriate for handling the photon propagation in weakly dispersive medium, when the dis-persion law does not essentially deviate from its vacuum shape. The polarization operator for the case of general relation between the photon mass and momentum was calculated by Batalin and Shabad [10], Tsai [11], Baier et al [12], and Melrose and Stoneham [13]. This gave the possibility of studying the photon propagation [14] under the conditions where the deviation from the vacuum dispersion law may be very strong either due to the phenomenon of the cyclotron resonance in the vacuum polarization [15] -this phenomenon is responsible for the effect of photon capture by a magnetic field [16,17,18] -or due to magnetic fields, much larger than B 0 [19,20,21,22], or due to the both circumstances (see Ref.…”

Section: Introductionmentioning

confidence: 99%

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Electric field of a pointlike charge in a strong magnetic field and ground state of a hydrogenlike atom

Shabad

Усов

2008

Phys. Rev. D

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In an external constant magnetic field, so strong that the electron Larmour length is much shorter than its Compton length, we consider the modification of the Coulomb potential of a point charge owing to the vacuum polarization. We establish a short-range component of the static interaction in the Larmour scale, expressed as a Yukawa-like law, and reveal the corresponding "photon mass"parameter. The electrostatic force regains its long-range character in the Compton scale: the tail of the potential follows an anisotropic Coulomb law, decreasing away from the charge slower along the magnetic field and faster across. In the infinite-magnetic-field limit the potential is confined to an infinitely thin string passing though the charge parallel to the external field. This is the first evidence for dimensional reduction in the photon sector of quantum electrodynamics. The one-dimensional form of the potential on the string is derived that includes a δ-function centered in the charge. The nonrelativistic ground-state energy of a hydrogenlike atom is found with its use and shown not to be infinite in the infinite-field limit, contrary to what was commonly accepted before, when the vacuum polarization had been ignored. These results may be useful for studying properties of matter at the surface of extremely magnetized neutron stars.

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Section: General Representation For the Static Potential Of A Poimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Electric field of a pointlike charge in a strong magnetic field and ground state of a hydrogenlike atom

Shabad

Усов

2008

Phys. Rev. D

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“…[35,24,78,46], we emphasize the important role of radiation formation length in characterizing the radiation spectrum, especially in Section 3.1.5 where we follow Ref. [8] to give a unied treatment of undulator and channeling radiation. We then introduce the quantum theory of radiation based on the Klein-Gordon equation in Section 3.2, and illustrate both the wavefunction and the operator methods in order to obtain the full quantum correction of radiated power.…”

Section: Radiation From Relativistic Electronsmentioning

confidence: 99%

Radiative cooling of relativistic electron beams

Huang

Ruth²

Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)

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Modern high-energy particle accelerators and synchrotron light sources demand smaller and smaller beam emittances in order to achieve higher luminosity o r better brightness. For light particles such as electrons and positrons, radiation damping is a natural and eective w a y to obtain low emittance beams. However, the quantum aspect of radiation introduces random noise into the damped beams, yielding equilibrium emittances which depend upon the design of a specic machine.In this dissertation, we attempt to make a complete analysis of the process of radiation damping and quantum excitation in various accelerator systems, such as bending magnets, focusing channels and laser elds. Because radiation is formed over a nite time and emitted in quanta of discrete energies, we invoke the quantum mechanical approach whenever the quasiclassical picture of radiation is insucient. We show that radiation damping in a focusing system is fundamentally dierent from that in a bending system. Quantum excitation to the transverse dimensions is absent in a straight, continuous focusing channel, and is exponentially suppressed in a focusing-dominated ring. Thus, the transverse normalized emittances in such systems can in principle be damped to the Compton wavelength of the electron, limited only by the Heisenberg uncertainty principle. In addition, we i n v estigate methods of rapid damping such as radiative laser cooling. We propose a laser-electron storage ring (LESR) where the electron beam in a compact storage ring repetitively interacts with an intense laser pulse stored in an optical resonator. The laser-electron interaction gives rise to rapid cooling of electron beams and can beused to overcome the space charge eects encountered in a medium energy circular machine. Applications to the designs of low emittance damping rings and compact x-ray sources are also explored. iv

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Radiation yield of high‐energy electrons in thick crystals

Baier¹,

Katkov²,

Strakhovenko³

1986

Physica Status Solidi (b)

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The radiation of high-energy electrons moving near the crystalline axes in thick crystals is analysed. The radiation brightness and yield are discussed. The results obtained are compared with experiment.IIpOBeJeH aHaJIYI3 M3JIYZIeHMFI 3JIeKTpOHOB 60~1buoCi 3HeprllM IlpM ,I(BMXeHMll B6nH3H 1ipMCTaJIZMYeCKMX OCen B TOJICTbIX MOHOKPMCTaJIJIaX. 06cylrcfiam~cfi HPKOCTb PI BMXOa Ii3JIyYeHHFI. nOJIy'4eHHbIe pe3yJIbTaTbI CpaBHMBaIOTCH C 3KCIlepHMeHTOM. Description of Radiation in Thick CrystalsA theoretical description of the specific radiation which occurs when high-energy particles are moving near the crystalline planes, or axes, in single crystals, depends essentially on whether a crystal is thin or thick. I n thin crystals, by definition, the distribution function (DF) in a transverse (to the direction of the axes, or planes) phase space does not vary when the particles pass through a crystal and is defined by the initial conditions. I n thick crystals, a dependence of the D F on the depth of penetration of the particles into a crystal should be taken into account. Multiple scattering and radiation energy losses are referred to the basic processes which govern the kinetics of this function.To apply the effect under discussion as a source of hard and directed radiation concentrated within a comparatively narrow frequency range, it is thick crystals2) that are of greatest interest, in the range of not too high energies. One of the most important characteristics is the total radiation intensity into a given solid angle. I n this case, the interesting question is to find an optimal thickness of the crystal, L = Lo, for which the energy of radiation yield, a t a given collimation of the photon beam, is maximum. This range of problems was recently treated by the authors for the case of motion along the crystalline axes According t o the performed analysis [l, 21 dealing with the kinetics of the distribution, which is due t o multiple scattering, the D F for large depths ( I ) is of the form Prospekt Lavrenteva 11, 630090 Novosibirsk, USSR. z, In thin crystals [l], the particles lost is noticeable fraction of their energy only a t superhigh electron energies 6 2 eCT, beginning with tens of GeV.

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Radiation of ultrarelativistic particles moving near crystalline axes

Cited by 8 publications

References 5 publications

Electric field of a pointlike charge in a strong magnetic field and ground state of a hydrogenlike atom

Electric field of a pointlike charge in a strong magnetic field and ground state of a hydrogenlike atom

Radiative cooling of relativistic electron beams

Radiation yield of high‐energy electrons in thick crystals

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