Two-meson-exchange nucleon-nucleon potentials are derived where either
one or both nucleons contains a pair vertex. Physically, the meson-pa
ir vertices are meant to describe in an effective way (part of) the ef
fects of heavy-meson exchange and meson-nucleon resonances. From the p
oint of view of ''duality,'' these two kinds of contribution are rough
ly equivalent. The various possibilities for meson pairs coupling to t
he nucleon are inspired by the chiral-invariant phenomenological Lagra
ngians that have appeared in the literature. The coupling constants ar
e fixed using the linear sigma model. We show that the inclusion of th
ese two-meson exchanges gives a significant improvement over a potenti
al model including only the standard one-boson exchanges.