  Dynamical reduction models propose a solution to the measurement problem in
quantum mechanics: the collapse of the wave function becomes a physical
process. We compute the predictions to decaying and Dynamical reduction models
propose a solution to the measurement problem in quantum mechanics: the
collapse of the wave function becomes a physical process. We compute the
predictions to decaying and flavor--oscillating neutral mesons for the two most
promising collapse models, the QMUPL (Quantum Mechanics with Universal Position
Localization) model and the mass-proportional CSL (Continuous Spontaneous
Localization) model. Our results are showing (i) a strong sensitivity to the
very assumptions of the noise field underlying those two collapse models and
(ii) under particular assumptions the CSL case allows even to recover the decay
dynamics. This in turn allows to predict the effective collapse rates solely
based on the measured values for the oscillation (mass differences) and the
measured values of the decay constants. The four types of neutral mesons
($K$-meson, $D$-meson, $B_d$-meson, $B_s$-meson) lead surprisingly to ranges
comparable to those put forward by Adler (2007) and Ghirardi-Rimini-Weber
(1986). Our results show that these systems at high energies are very sensitive
to possible modifications of the standard quantum theory making them a very
powerful laboratory to rule out certain collapse scenarios and studying the
detailed physical processes solving the measurement problem.
