  In this paper we survey the effects of residual long-range forces associated
to $\gamma_5$-spin dependent-couplings of fermions to massless bosons exerted
by unpolarised bulk matter over macroscopic distances. We establish that such
forces with behaviour proportional to $R^{-6}$ do indeed exist. They arise as a
quantum mechanical effect due to simultaneous exchange of two quanta. We
explore their presence in existing astronomical as well as laboratory data on
non-newtonian components of the force between macroscopic bodies. Since no
limits on their real existence could be found, we conclude that residual
long-range pseudoscalar attractive and composition dependent forces between
neutral unpolarised bulk matter extending over macroscopic distances are very
efficiently shielded over a huge range of distances: from astronomical scales
down to the micron scale.
