A method of path integration and the Landau-Pomeranchuk effect of suppression of fast particle radiation in matter

Laskin, Nick; Mazmanishvili, A. S.; Шульга, Н.Ф.

doi:10.1016/0375-9601(85)90513-4

Cited by 16 publications

(4 citation statements)

References 6 publications

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“…For comparison it is instructive to relate our derivation of the radiation spectrum to the one originally performed by Migdal [3,4]. Instead of averaging over transverse momenta and longitudinal coordinates as described in (3.19) a Gaussian probability density [14] is used as a solution of an underlying Fokker-Planck equation [3,4] , which reflects the assumed random walk nature of multiple scattering. When fixed time steps equal to λ are considered the normalized density reads…”

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confidence: 99%

The Landau-Pomeranchuk-Migdal effect in QED

et al. 1996

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The calculation of the radiative energy loss encountered by a fast charged particle which undergoes multiple scattering is being investigated. A detailed derivation of the Landau-Pomeranchuk-Migdal coherent effect in QED is given, focusing on the specific feature of the Coulomb interaction. As a result the radiation intensity per unit length in the coherent regime is shown to be proportional to $\sqrt \omega$ for a photon energy $\omega$ times a logarithmic enhancement which is determined exactly.Comment: 19 pages, LaTeX styl

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confidence: 99%

The Landau-Pomeranchuk-Migdal effect in QED

et al. 1996

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“…presents Table 2 (see also Figure 1). [15,16] and the method of functional integration [32,33,35,36,42]. Neglecting numerically small quantum-mechanical corrections, we will adhere to version of the Landau-Pomeranchuk effect theory developed in [15].…”

Section: Molièrementioning

confidence: 99%

Application of a Revised Moliere Theory to the Description of the Landau-Pomeranchuk Effect

Torosyan¹,

Voskresenskaya

2014

ujpa

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“…There exist two methods that allow to develop a rigorous quantitative theory of the Landau-Pomeranchuk effect. It is Migdal's method of kinetic equation [15,16] and the method of functional integration [32,33,35,36,42]. Neglecting numerically small quantum-mechanical corrections, we will adhere to version of the Landau-Pomeranchuk effect theory developed in [15].…”

Section: Basic Formulae Of the Migdal Lpm Effect Theory For Sufficien...mentioning

confidence: 99%

Application of a Revised Moliere Theory to the Description of the Landau-Pomeranchuk Effect

Torosyan,

Voskresenskaya

2013

Preprint

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Using the Coulomb corrections to some important parameters of a revised Molière multiple scattering theory, we have obtained analytically and numerically the Coulomb corrections to the quantities of the Migdal theory of the Landau-Pomeranchuk (LPM) effect for sufficiently thick targets. We showed that the Coulomb correction to the spectral bremsstrahlung rate of this theory allows completely eliminating the discrepancy between the theory and experiment at least for high Z experimental targets.

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A method of path integration and the Landau-Pomeranchuk effect of suppression of fast particle radiation in matter

Cited by 16 publications

References 6 publications

The Landau-Pomeranchuk-Migdal effect in QED

The Landau-Pomeranchuk-Migdal effect in QED

Application of a Revised Moliere Theory to the Description of the Landau-Pomeranchuk Effect

Application of a Revised Moliere Theory to the Description of the Landau-Pomeranchuk Effect

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