In certain mild extensions of the standard model, spin-independent long ran
ge forces can arise by exchange of two very light pseudoscalar spin-0 boson
s. In particular, we have in mind models in which these bosons do not have
direct tree level couplings to ordinary fermions. Using the dispersion theo
retical method, we find a 1/r(3) behavior of the potential for the exchange
of very light pseudoscalars and a 1/r(7) dependence if the pseudoscalars a
re true massless Goldstone bosons. [S0556-28s21(99)00509-3].