Using a polynomial interaction solitary wave propagator for spinless, self interacting mesons, a two nucleon potential is constructed in analogy with OBEP and previous solitary wave exchange potentials (SWEP). Since the solitary wave propagator automatically includes higher mass contributions, generalizations of OBEP are obtained without the introduction of new, arbitrary mass meson exchange. As with previous SWEP, the polynomial SWEP discussed in this paper compare favourably with phenomenological potentials but require only a few undetermined parameters.
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