Coulomb corrections to bremsstrahlung in electric field of heavy atom at high energies

Abstract

The differential and partially integrated cross sections are considered for bremsstrahlung from high-energy electrons in atomic field with the exact account of this field. The consideration exploits the quasiclassical electron Green's function and wave functions in an external electric field. It is shown that the Coulomb corrections to the differential cross section are very susceptible to screening. Nevertheless, the Coulomb corrections to the cross section summed up over the final-electron states are independent of screening in the leading approximation over a small parameter $1/m{r}_{scr}$ ($r_{scr}$ is a screening radius, $m$ is the electron mass, $\hslash =c=1$). Bremsstrahlung from an electron beam of the finite size on heavy nucleus is considered as well. Again, the Coulomb corrections to the differential probability are very susceptible to the beam shape, while those to the probability integrated over momentum transfer are independent of it, apart from the trivial factor, which is the electron-beam density at zero impact parameter. For the Coulomb corrections to the bremsstrahlung spectrum, the next-to-leading terms with respect to the parameters $m/\epsilon$ ($\epsilon$ is the electron energy) and $1/m{r}_{scr}$ are obtained.

arXiv comment13 pages, 4 figures

References in corpus (4)

• On the nature of Coulomb corrections to the e^+e^- pair production in ultrarelativistic heavy-ion collisions
• High-energy expansion of Coulomb corrections to the e+e- photoproduction cross section
• Cross section of high-energy photon splitting in the electric fields of heavy atoms
• Quasiclassical Green function and Delbruck scattering in a screened Coulomb field

Cited by in corpus (10)

• Effect of a strong laser field on $e^{+}{e}^{-}$ photoproduction by relativistic nuclei
• Studying Coulomb correction at EIC and EicC
• Charge asymmetry in the differential cross section of high-energy bremsstrahlung in the field of a heavy atom
• High-energy $e^{+}{e}^{-}$ photoproduction cross section close to the end of spectrum
• High-energy $e^{+}{e}^{-}$ photoproduction in the field of a heavy atom accompanied by bremsstrahlung
• High-energy electroproduction in an atomic field
• Double bremsstrahlung from high-energy electron in the atomic field
• Integrated cross sections of high-energy $e^{+}{e}^{-}$ electroproduction by an electron in an atomic field
• Charge asymmetry in the spectra of bremsstrahlung and pair production
• Charge asymmetry in electron/positron energy loss in nuclear Bremsstrahlung