We study the properties of the spin-dependent one-body density in mome
ntum space for odd-A polarized deformed nuclei within the mean field a
pproximation. We derive analytic expressions connecting intrinsic and
laboratory momentum distributions. The latter are related to observabl
e transition densities in p-space that can be proved in one nucleon kn
ockout reactions From polarized targets. It is shown that most of the
information contained in the intrinsic spin-dependent momentum distrib
ution is lost when the nucleus is not polarized. Results are presented
and discussed for two prolate nuclei, Ne-21 and Mg-25, and for one ob
late nucleus, Ar-37. The effects of deformation are highlighted by com
parison to the case of odd-A nuclei in the spherical model. (C) 1995 A
cademic Press, Inc.