Probing CPT violation in meson mixing by non-cyclic phase

Abstract

The presence of non-cyclic phases is revealed in the time evolution of mixed meson systems. Such phases are related to the parameter $z$ describing the $CPT$ violation; moreover, a non zero phase difference between particle and antiparticle arises only in presence of $CPT$ symmetry breaking. Thus, a completely new test for the $CPT$ invariance can be provided by the study of such phases in mixed mesons. Systems which are particularly interesting for such an analysis are the $B_s^0-{\bar{B}}_s^0$ and the $K^0-{\bar{K}}^0$ ones. In order to introduce non-cyclic phases, some aspects of the formalism describing the mixed neutral mesons are analyzed. Since the effective Hamiltonian of systems like $K^0-{\bar{K}}^0$, $B^0-{\bar{B}}^0$, $B_s^0-{\bar{B}}_s^0$, $D^0-{\bar{D}}^0$ is non-Hermitian and non-normal, it is necessary to diagonalize it by utilizing the rules of non-Hermitian quantum mechanics.

11 pages, 3 figures

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• Observability of spontaneous collapse in flavor oscillations and its relation to the CP and CPT symmetries
• Neutrino nature, total and geometric phase
• Geometric invariants as detector of Hawking and Unruh effects and quantum field theory in curved space