  In the analysis of neutron-antineutron oscillations, it has been recently
argued in the literature that the use of the $i\gamma^{0}$ parity
$n^{p}(t,-\vec{x})=i\gamma^{0}n(t,-\vec{x})$ which is consistent with the
Majorana condition is mandatory and that the ordinary parity transformation of
the neutron field $n^{p}(t,-\vec{x}) = \gamma^{0}n(t,-\vec{x})$ has a
difficulty. We show that a careful treatment of the ordinary parity
transformation of the neutron works in the analysis of neutron-antineutron
oscillations. Technically, the CP symmetry in the mass diagonalization
procedure is important and the two parity transformations, $i\gamma^{0}$ parity
and $\gamma^{0}$ parity, are compensated for by the Pauli-G\"ursey
transformation. Our analysis shows that either choice of the parity gives the
correct results of neutron-antineutron oscillations if carefully treated.
