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arXiv · 0802.3609

A fresh look at neutral meson mixing

M. A. Gomshi Nobary·B. Mojaveri
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Abstract

In this work we show that the existence of a complete biorthonormal set of eigenvectors of the effective Hamiltonian governing the time evolution of neutral meson system is a necessary condition for diagonalizability of such a Hamiltonian. We also study the possibility of probing the $CPT$ invariance by observing the time dependence of cascade decays of type $P^{\circ}(\bar{P^{\circ}})\to \{M_a,M_b\}X\to fX$ by employing such basis and exactly determine the $CPT$ violation parameter by comparing the time dependence of the cascade decays of tagged $P^{\circ}$ and tagged $\bar{P^{\circ}}$.

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M. A. Gomshi Nobary, B. Mojaveri. 2008-02-25. A fresh look at neutral meson mixing. https://doi.org/10.1016/j.physletb.2007.04.025

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