  Within the context of flux tube models, heavy quark fragmentation takes place
through the breaking of flux tubes with the production of a
(di)quark-anti(di)quark pair. It is found that the (di)quark produced are more
likely to be found in an $L_z=0$ state. This naturally leads to an supression
of the polarization distribution parameters $w_{3/2}$ and $\tilde w_1$ for
$(D_1, D_2^*)$ and $(\Lambda_{c1}, \Lambda_{c1}^*)$ production respectively.
The corresponding parameter $w_1$ for $(\Sigma_c, \Sigma_c^*)$ production,
however, is not suppressed, in agreement with the CLEO results but not the
DELPHI one. Implications on the measurements of $\Lambda_Q$ polarizations are
discussed.
