Electron-positron pair production by an electron in a magnetic field in the resonant case

Abstract

Resonant e + e − pair production by an electron in a magnetic field near the process threshold has been analytically studied. Using the Nikishov's theorem an estimation of the number of events has been made in the magnetic field equivalent to laser wave in the SLAC experiment [D. Burke et al., Phys. Rev. Lett. 79, 1626(1997]. The obtained estimation is in reasonable agreement with the experimental data. 13.88.+e

Pair production to the lowest Landau levels by an electron in a magnetic field

“…The rate (18) agrees with the results of [11] if the final particles occupy the ground level, l f = 0.…”

“…(7) can be calculated in the explicit form [11], [13]. Then the amplitude should be expanded into a series in the small parameter h before calculating the rate…”

“…In Refs. [9]- [11] pair production by an electron in a magnetic field has been studied. The results appeared to be in a good agreement with SLAC experiment when comparing them using Nikishov theorem.…”

Effect of interference on the trident process in a constant crossed field

“…A quarter of a century after electronseeded pair creation was first calculated theoretically in constant magnetic [5] and crossed [6] backgrounds, the combination of nonlinear Compton scattering followed by the nonlinear Breit-Wheeler process was measured in the landmark E144 experiment performed at the Stanford Linear Accelerator Center (SLAC) [7,8]. The importance of this experiment to the laser strong-field QED community can be understood in light of continued interpretation and analysis of the E144 results in the literature [9][10][11].In addition to also having astrophysical importance, a measurement of electron-seeded pair creation in a terrestrial laser-particle collision would allow the study of nonperturbative quantum field theory. As the intensity of the laser pulse increases, for a fixed frequency and seed particle energy, the process moves from the perturbative, to the multiphoton and finally to a tunneling regime [9], in which dependency on the charge-field coupling takes a nonperturbative form.…”

“…A quarter of a century after electronseeded pair creation was first calculated theoretically in constant magnetic [5] and crossed [6] backgrounds, the combination of nonlinear Compton scattering followed by the nonlinear Breit-Wheeler process was measured in the landmark E144 experiment performed at the Stanford Linear Accelerator Center (SLAC) [7,8]. The importance of this experiment to the laser strong-field QED community can be understood in light of continued interpretation and analysis of the E144 results in the literature [9][10][11].…”