Nonlinear pair production in scattering of photons on ultra-short laser pulses at high energy

Abstract

We consider scattering of a photon on a short intense laser pulse at high energy. We argue that for ultra-short laser pulses the interaction is coherent over the entire length of the pulse. At low pulse intensity $I$ the total cross section for electron-positron pair production is proportional to $I$. However, at pulse intensities higher than the characteristic value $I_s$, the total cross section saturates -- it becomes proportional to the logarithm of intensity. This nonlinear effect is due to multi-photon interactions. We derive the total cross section for pair production at high energies by resuming the multi-photon amplitudes to all orders in intensity. We calculate the saturation intensity $I_s$ and show that it is significantly lower than the Schwinger's critical value. We discuss possible experimental tests.

16 pages, 7 figures; v2: presentation improved, references added, typos fixed

References in corpus (5)

• Dynamically assisted Schwinger mechanism
• Electron-Positron Pair Production in Relativistic Heavy Ion Collisions
• Nonlinear Bethe-Heitler pair creation with attosecond laser pulses at the LHC
• Impact parameter dependence of heavy ion e+ e- pair production to all orders in Z alpha
• Vacuum self-focussing of very intense laser beams

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• Spin correlations in nonperturbative electron-positron pair creation by petawatt laser pulses colliding with a TeV proton beam
• High-Energy Recollision Processes of Laser-Generated Electron-Positron Pairs
• A Novel Solution to the Klein-Gordon Equation in the Presence of a Strong Rotating Electric Field
• Multigluon correlations in JIMWLK
• Computing Early-time Dynamics in Heavy Ion Collisions: Status, Problems and Prospects