Exact $Z^2$ scaling of pair production in the high-energy limit of heavy-ion collisions

Details Exact $Z^2$ scaling of pair production in the high-energy limit of heavy-ion collisions Exact $Z^2$ scaling of pair production in the high-energy limit of heavy-ion collisions

1998-05-07

arxiv.org/abs/physics/9805013v1

Phys.Rev. C59 (1999) 2753-2756

Physics

Atomic Physics

4 pages, Revtex, no figures, submitted to PRL

Scientific paper

10.1103/PhysRevC.59.2753

The two-center Dirac equation for an electron in the external electromagnetic field of two colliding heavy ions in the limit in which the ions are moving at the speed of light is exactly solved and nonperturbative amplitudes for free electron-positron pair production are obtained. We find the condition for the applicability of this solution for large but finite collision energy, and use it to explain recent experimental results. The observed scaling of positron yields as the square of the projectile and target charges is a result of an exact cancellation of a nonperturbative charge dependence and holds as well for large coupling. Other observables would be sensitive to nonperturbative phases.

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