Photon-photon scattering in collisions of laser pulses
B. King, C. H. Keitel

TL;DR
This paper investigates the potential to measure elastic and inelastic photon-photon scattering using modern high-power laser pulses, demonstrating that such processes could be experimentally observed with current laser technology.
Contribution
It provides a detailed calculation showing that elastic photon-photon scattering can be measured with a single 10PW laser, and inelastic scattering may be detectable with sub-cycle pulses.
Findings
Elastic scattering measurable with a single 10PW laser
Inelastic scattering detectable with sub-cycle pulses
Quantitative estimates of scattered photon numbers
Abstract
A scenario for measuring the predicted processes of vacuum elastic and inelastic photon-photon scattering with modern lasers is investigated. Numbers of measurable scattered photons are calculated for the collision of two, Gaussian-focused, pulsed lasers. We show that a single 10PW optical laser beam split into two counter-propagating pulses is sufficient for measuring the elastic process. Moreover, when these pulses are sub-cycle, our results suggest the inelastic process should be measurable too.
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