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

摘要

The authors solve, in an ultrarelativistic limit, the time-dependent Dirac equation describing electron-positron pair production in peripheral relativistic heavy ion collisions using light front variables and a light- fronts representation, obtaining nonperturbative results for the free pair- creation amplitudes in the collider frame. Their result reproduces the result of second-order perturbation theory in the small charge limit while nonperturbative effects arise for realistic charges of the ions.