We report recent results on the study of pair production by nonlinear
Breit-Wheeler process in the collision of a high energy
photon beam with a counter-propagating laser beam.
This configuration has been used in particular in the pioneering Burke experiment [Burke et al.,
1997], and all the energy of the produced particles comes
from the initial energy of the beam : hence the name showers. For a fixed laser
energy amount we study the optimal situation, and show that the total production rate increases more quickly with the effective surface than the decrease of the production rate
with the peak intensity, if we are above treshold for the quantum parameter (>>1).
We consider both Gaussian fields and Laguerre-Gauss beams with parameters l = 1- 4, carring orbital angular momentum (OAM). 3D Particle-In-Cell (PIC) simulations are performed with the opensource PIC code SMILEI [Derouillat et al., CPC (2008)].
Our study show the counterintutive result that increasing peak intensity can result in decreasing the pair production, and suggest that in this configuration the extra complexity of introducing AOM beams is not justified if the focus is on pair creation.
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