  We show that it is possible to cool interacting pairs of atoms by a lin
$\perp$ lin Sisyphus-like laser cooling scheme using counter-propagating
photoassociation (PA) lasers. It is shown that the center-of-mass motion (c.m.)
of atom pairs can be trapped in molecular spin-dependent periodic potentials
generated by the lasers. The proposed scheme is most effective for narrow-line
PA transitions. We illustrate this with numerical calculations using fermionic
$^{171}$Yb atoms as an example.
