Exact Pair Production Rate for a Smooth Potential Step

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

10.1103/PhysRevD.80.065010

We derive the exact rate of pair production of oppositely charged scalar
particles by a smooth potential proportional to tanh kz in three dimensions. As
a check we recover from this the known results for an infinitely sharp step as
well as for a uniform electric field.

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