Pair production in a magnetic and radiation field in a pulsar magnetosphere

Abstract

In the present work one-and two-photon pair production in a subcritical magnetic field have been considered. Two-photon production has been studied in the resonant case, when the cross section considerably increases compared to the nonresonant case. While one-photon pair production is considered to be the main mechanism of plasma generation in a pulsar magnetosphere, we suggest the existence of another one, which is resonant two-photon production process.Mod. Phys. Lett. A 30, 1550111 (2015); doi: http://dx

Electron-Positron Pair Photoproduction in a Strong Magnetic Field Through the Polarization Cascade

“…To evaluate the proportionality factor in Eq. ( 44), let us put the magnetic field equal to ℎ = 10 (such fields are observed near magnetars), the detuning to = 0.1, and the intermediate state width toΓ ∼ ℎ 2 [40]. Then the sought coefficient equals 0.1.…”

“…( 13) depend on ′ . Note that this propagator is widely used, when calculating the amplitudes of the second-order processes in which the electron plays the role of an intermediate particle (see, e.g., works [38][39][40]49]).…”

“…Note also that, in the works [38,39], the resonant case of the process of electron-positron pair generation in a magnetic field by two photons was considered. In work [40], the 1 and resonant 2 pair creation processes were compared at the parameter values that are typical of the neutron star magnetosphere, and the limiting concentration of cyclotron photons at which the second-order process dominates over the first-order one was determined.…”

Vacuum Birefringence in a Supercritical Magnetic Field

“…Later, it was found in works [25,26] using a slightly different method and in work [27] using precise solutions of the Dirac equation. It should be noted that this propagator was used in works [28][29][30][31] to calculate the amplitudes of second-order processes with the electron as an intermediate particle. The propagator has the form…”

“…In other words, the resonance condition is obeyed. In this case, the process width, which is usually associated with the total probability of the intermediate state decay [29][30][31], has to be taken into account. From expression (22), it is evident that the parameter˜plays the role of the resonance process width.…”