Since the channel is dominated by the I=1 amplitude, we can assume
.
Using the CPLEAR values for
and
(obtained by fixing
to
), we obtain for the phase difference:
which has a precision of one order of magnitude better than using the PDG
values. Together with the world average value of the phase of the
violating parameter
,
,
we obtain the following limit for a possible
violation:
This might be translated in a limit of the mass difference
(assuming no
violation in the decay amplitudes) using:
which is several
orders of magnitude better then existing limits for other particles:
but still two orders of magnitude away from a possible effect at the
planck scale:
Some information about CPT violation in the I=0 decay amplitude can be
obtained by comparing with the semileptonic charge asymmetry
(
and assuming no CPT violation in the
semileptonic decay amplitudes for the moment:
Using the PDG values, and
,
we find for a possible decay width difference: