Quantum modifications in magnetic bremsstrahlung

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Abstract

The relativistic classical expression for the magnetic bremsstrahlung (synchrotron) spectrum of electrons can be generalized to include first-order quantum corrections by the replacement (I(ω) ∼ κ( ω ω0) → κ(( ω ω0)[1 + ( h {combining short solidus overlay}ω E)]) where k(z) = z ∫ z ∞ dx K5 3(χ), and ωcis related to the electron energy and magnetic field intensity by ωc(keV) {reversed tilde equals} 0.06 E2(GeV) H (kG). These first-order shifts are of negligible significance unless E (GeV) Prompted by the results of a megagauss bremsstrahlung experiment, we have recalculated the synchrotron process including all relevant second-order quantum corrections. In the range the analysis reduces to the simple correspondence I(ω) → κ(( ω ωc)[1 + h {combining short solidus overlay}ω E][1 - ( h {combining short solidus overlay}ω 2mc2)2]3 2), which exhibits the surprising feature that the second-order terms can be more significant than the first-order corrections. In fact whenever E2(GeV) the general results indicate that the spectrum is drastically altered by quantum effects. Since the second-order terms are also linked with an enhancement of the magnetic trident production rate, the matrix elements are evaluated with sufficient generality to allow for inner bremsstrahlung processes. © 1977.

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Latal, H. G., & Erber, T. (1977). Quantum modifications in magnetic bremsstrahlung. Annals of Physics, 108(2), 408–442. https://doi.org/10.1016/0003-4916(77)90020-3

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