Abstract
The nonperturbative regime of electron–positron pair creation by a relativistic proton beam colliding with a highly intense bichromatic laser field is studied. The laser wave is composed of a strong low-frequency and a weak high-frequency mode, with mutually orthogonal polarization vectors. We show that the presence of the high-frequency field component can strongly enhance the pair-creation rate. Besides, a characteristic influence of the high-frequency mode on the angular and energy distributions of the created particles is demonstrated, both in the nuclear rest frame and the laboratory frame.
Highlights
In the presence of very strong electromagnetic fields, the quantum vacuum can decay into electron-positron pairs [1, 2]
We study strong-field Bethe–Heitler pair creation in a laser field consisting of a strong low-frequency and a weak high-frequency component
Total Pair-Creation Rates In the following we shall apply our formalism to pair creation by a relativistic nuclear beam and a bichromatic laser field, which is composed of a high-frequency low-intensity mode (ω1 ∼ 2m, ξ1 1) and a low-frequency high-intensity mode (ω2 2m, ξ2 ∼ 1)
Summary
In the presence of very strong electromagnetic fields, the quantum vacuum can decay into electron-positron pairs [1, 2]. The total rate for pair creation in this field combination was shown to be strongly enhanced, while preserving its nonperturbative character This interesting prediction has led to a number of subsequent investigations. The thereby introduced series summation indices ni, with i = 1 or 2, may be understood as numbers of photons taken from the respective laser mode i This expansion allows to perform the four-dimensional integration from Eq (1) analytically by using the Fourier transform of the Coulomb potential and a representation of the δ-function for the integral in space and time, respectively [29]: d4x AN(r) exp i xμQμ. 2. Theoretical Framework Employing the S -matrix formalism of electron-positron pair creation in combined laser and Coulomb fields, we write the transition amplitude in the nuclear rest frame as [10,11,12]. In order to gain total rates or rates differential in a single coordinate the necessary remaining integrations are calculated numerically
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