  Cooper pairs in chiral superfluids carry quantized units of relative orbital
angular momentum (OAM). Various predictions of the intrinsic OAM density or the
macroscopic OAM of a two-dimensional chiral superfluid differ by several orders
of magnitude, which constitute the so-called Angular Momentum Paradox.
Following several previous studies, we substantiate the semiclassical
Bogoliubov-de Gennes theory of the single-particle edge current and OAM in
two-dimensional chiral superfluids in the BCS limit. The analysis provides a
simple intuitive understanding for the vanishing of OAM for a non-p-wave chiral
superfluid (such as $d+id$) confined in a rigid potential. When generalized to
anisotropic chiral superconductors and three-dimensional chiral superfluids,
the theory similarly returns an accurate description. We also present a
detailed numerical study of the chiral phases in the BEC limit. Our study
suggests that, in both BCS and BEC phases the relative OAM of the individual
Cooper pairs contribute to the total OAM additively, and that in both phases
the corresponding macroscopic OAM density distribution is localized at the
boundary.
