Abstract
The cross section of high-energy e+e− pair production by a heavy charged particle in the atomic field is investigated in detail. We take into account the interaction with the atomic field of e+e− pair and a heavy particle as well. The calculation is performed exactly in the parameters of the atomic field. It is shown that, in contrast to the commonly accepted point of view, the cross section differential with respect to the final momentum of a heavy particle is strongly affected by the interaction of a heavy particle with the atomic field. However, the cross section integrated over the final momentum of a heavy particle is independent of this interaction.
Highlights
Production of e+e− pair by the ultra-relativistic heavy charged particle in the atomic field is very important because the cross section of this process is even larger than the cross section of bremsstrahlung of a heavy particle in the field
The Coulomb corrections with respect to the interaction of e+e− pair with the atomic field were obtained in Refs. [3, 4] using the plane waves for the wave functions of a heavy particle and the Coulomb wave functions for electron and positron
We investigate the differential cross section of high-energy e+e− electroproduction by heavy charged particles in the atomic field taking into account the interaction of a heavy particle with the atomic field
Summary
Production of e+e− pair by the ultra-relativistic heavy charged particle in the atomic field is very important because the cross section of this process is even larger than the cross section of bremsstrahlung of a heavy particle in the field. [3, 4] obtained the cross sections differential with respect to the final momentum of a heavy particle as well as that integrated over this momentum For the latter case, the cross sections were obtained within another approach, see Refs. We investigate the differential cross section of high-energy e+e− electroproduction by heavy charged particles in the atomic field taking into account the interaction of a heavy particle with the atomic field. The cross section integrated over the final momentum of a heavy particle is independent of the parameter ηp It seems, the experimental investigation of a strong dependence of the differential cross section on ηp for moderate values of the relativistic factor γ is not a very difficult task
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