Abstract

A complete set of numerical solutions is obtained, in the ladder approximation, to the Bethe-Salpeter equation describing bound states of a spin-\(\frac{1}{2}\) fermion and spin-0 boson with arbitrary masses that interact via the exchange of a massive, spin-0 boson. The equation has been used previously, without solutions actually being calculated, to derive some properties of nucleons by treating the physical nucleon as a bound state of a “bare” nucleon and a “bare” meson. It is likely that most, if not all, two-body, bound-state Bethe-Salpeter equations can be solved in the ladder approximation using the method discussed here.

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