Abstract
A calculation has been performed in an attempt to clarify the extent to which an unstable particle exchange interaction can be approximated by that obtained when stable particles are assumed. Scalar unstable bosons exchanged between spinless, heavy nucleons are considered for simplicity and the contribution to the scattering amplitude by such a process is calculated. In coordinate space, a quantity which can be compared with the Yukawa potential is obtained. The Yukawa tail is reduced considerably for the exchange of a scalar particle with the mass and width of the ϱ-meson when the nucleon-nucleon separation is large. The results are also discussed from the point of view of the pole approximation. The effects found are sufficiently large to warrant a more thorough treatment than presently available in the literature.
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