Bethe-Salpeter solutions with complex coupling constants

Using a general, numerical method for solving two-body, bound-state Bethe-Salpeter equations recently developed by the author, a complete set of solutions is obtained, in the ladder approximation, to the Bethe-Salpeter equation describing bound states of two massive scalars bound by the exchange of a third, massive scalar. Solutions with either a complex or real coupling constant and either zero or nonzero angular momentum are calculated and explicitly shown to satisfy the Bethe-Salpeter equation. A knowledge of boundary conditions is a prerequisite for calculating solutions, necessitating the development of a general technique for determining boundary conditions when the binding quanta are massive.