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Petersburg Department of Steklov Institute of Mathematics

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PREPRINT 12/1997

Leonid A. Khalfin
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CP violation problem and
unconditional tests of fundamental
discrete symmetries T, CPT
in rigorous quantum dynamics beyond
the approximate Lee--Oehme--Yang theory

This preprint was accepted July 21, 1997.

Contact: ` L. A. Khalfin `

Abstract:

The CP-violation problem, and unconditional tests of discrete symmetries
T, CPT investigated in the exact Quantum Theory (QT)
beyond the usually used Lee--Oehme--Yang (LOY) theory, which was based on
famous Weisskopf--Wigner (W.W.) approximation. It were derived new
unconditional CP@-violation effects, independent from known before, new
unconditional tests of the CPT and T invariances, new results for
correlations. Corresponding general results were obtained for
$K^{0}-\bar K^{0}$, $B^{0}-\bar B^{0}$, $D^{0}-\bar D^{0}$ mesons.
On the base of these new theoretical results given
some proposals for experiments by CP LEAR and $\phi$, $B$, $\tau$
factories. New
results are interesting not only for the CP@-violation problem itself, but
also for possibilities to test violation of the standard quantum dynamics
connected with ideas of quantum gravity.
Based on the talk at 2-nd International Symposium on Symmetries
in Subatomic Physics, June 25--28, 1997, Seatle, USA,
and on the invited lecture at FNAL, July 3, 1997, Batavia, USA.

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