Abstract
We consider the long-time behavior of solutions to the massless Dirac equation coupled to a Coulomb potential. For nice enough initial data, we find a joint asymptotic expansion for solutions near the null and future infinities and characterize explicitly the decay rates seen in the expansion.This paper can be viewed as a successor to previous work on asymptotic expansions for the radiation field [4,5,2]. The key new elements are propagation estimates near the singularity of the potential, building on work of the first author with Wunsch [3] and an explicit calculation with hypergeometric functions to determine the rates of decay.
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