A light-fronts approach to electron-positron pair production in ultrarelativistic heavy-ion collisions

Details A light-fronts approach to electron-positron pair production in ultrarelativistic heavy-ion collisions A light-fronts approach to electron-positron pair production in ultrarelativistic heavy-ion collisions

1997-10-07

arxiv.org/abs/physics/9710008v1

Physics

Atomic Physics

39 pages, Revtex, 7 figures, submitted to PRA

Scientific paper

10.1103/PhysRevA.57.1849

We perform a gauge-transformation on the time-dependent Dirac equation describing the evolution of an electron in a heavy-ion collision to remove the explicit dependence on the long-range part of the interaction. We solve, in an ultra-relativistic limit, the gauged-transformed Dirac equation using light-front variables and a light-fronts representation, obtaining non-perturbative results for the free pair-creation amplitudes in the collider frame. Our result reproduces the result of second-order perturbation theory in the small charge limit while non-perturbative effects arise for realistic charges of the ions.

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