J. Bernabeu, N. E. Mavromatos, P. Villanueva-Perez
We describe the neutral Kaon system as an open Lindblad-type quantum mechanical system due to Kaon decays. Including CP violation in the mixing, the formalism allows for total probability conservation, in contrast to the standard Weisskopf-Wigner Approach (WWA) employing a non-hermitian Hamiltonian to integrate out the decay products. This approach, in terms of density matrices for initial and final states, provides a consistent probabilistic treatment. Even for an initial pure state, the time evolution generates a mixed state, not described by a projector. To restore Unitarity, we include the dominant decay channel to two pions, so that one of the Kaon states with definite lifetime becomes stable. The new dynamics for initial and final states modifies the observables to second order in the CP-violating parameter epsilon, as compared to WWA.
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http://arxiv.org/abs/1208.3572
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