  Nuclear polarization corrections to the 2P-2S Lamb shift in mu-d atoms are
developed in order alpha^5 and are shown to agree with a recent calculation.
The nuclear physics in the resulting corrections is then evaluated in
zero-range approximation. The dominant part of the correction is very simple in
form and differs from a recent potential model calculation by less than 1%. It
is also demonstrated how the third-Zemach-moment contribution largely cancels
against part of the polarization correction, as it did in e-d atoms and does so
exactly for point-like nucleons. This suggests that it may be possible to
reduce the uncertainty in the theory (of which nuclear polarization is the
largest contributor) to less than 1%.
