Static meson potentials

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Abstract
The potentials between static sources of meson fields are computed for various cases of interest. For isoscalar mesons, the interaction via a scalar-meson field is the well-knwon Yukawa potential; the interaction via an isoscalar vector-meson field is shown to have the expected Yukawa form when an appropriate Hamiltonian is used. For isovector mesons, which interact through non-Abelian current operators, numerical computations of the potential are presented for vector-meson field interactions. In contrast to the Abelian cases, the non-Abelian interactions are not the same as the one-meson-exchange potentials.