The two discrete transformations
and
in the
neutral kaon system are defined by:
where we remind that
is an antiunitary tansformation. According to the
theorem, the arbitrary phases
,
,
, can be choosen in such a way that the interaction is invariant
under
transformation. We obtain the following conditions:
which are equivalent to equal masses and lifetimes for
and
.
Assuming
invariance of the interaction we obtain the following
conditions:
which are equivalent to equal transition rates
and
.
invariance in the neutral kaon system requires
and
invariance both to be fulfilled.