TY  - JOUR
AU  - Bernabeu, J.
AU  - Mavromatos, N. E.
AU  - Villanueva-Perez, P.
PY  - 2013
DA  - 2013//
TI  - Consistent probabilistic description of the neutral Kaon system
T2  - Phys. Lett. B
JO  - Physics Letters B
SP  - 269
EP  - 273
VL  - 724
IS  - 4-5
PB  - Elsevier Science Bv
AB  - The neutral Kaon system has both CF violation in the mass matrix and a non-vanishing lifetime difference in the width matrix. This leads to an effective Hamiltonian which is not a normal operator, with incompatible (non-commuting) masses and widths. In the Weisskopf-Wigner Approach (WWA), by diagonalizing the entire Hamiltonian, the unphysical non-orthogonal "stationary" states K-L,K-S are obtained. These states have complex eigenvalues whose real (imaginary) part does not coincide with the eigenvalues of the mass (width). matrix. In this work we describe the system as an open Lindblad-type quantum mechanical system due to Kaon decays. This approach, in terms of density matrices for initial and final states, provides a consistent probabilistic description, avoiding the standard problems because the width matrix becomes a composite operator not included in the Hamiltonian. We consider the dominant decay channel to two pions, so that one of the Kaon states with definite lifetime becomes stable. This new approach provides results for the time dependent decay rates in agreement with those of the WWA.
SN  - 0370-2693
UR  - http://arxiv.org/abs/1208.3572
UR  - https://doi.org/10.1016/j.physletb.2013.06.025
DO  - 10.1016/j.physletb.2013.06.025
LA  - English
N1  - WOS:000322358500011
ID  - Bernabeu_etal2013
ER  -