Invisible decays of long-lived neutral hadrons

The new theory also predicts a universal ordinary-mirror oscillation mechanism for neutral hadrons. Especially the unexpectedly large branching fractions of the K0/Λ0-to-invisible decays can be measured at existing collider facilities.

In the new theory, CP violation can be considered as a direct result of spontaneous mirror symmetry breaking at staged quark condensation (e.g., at temperatures of 100GeV – 100 MeV in the early Universe). For a neutral kaon system, it means that the CP and mirror breaking scales, i.e., the mixing strength and mass splitting parameters should be the same.

Very fortunately, the CP violation parameters have already been well measured with \(\Delta=3.484(6)\times 10^{-6}\) eV and \(\sin\theta = 2.228(11)\times 10^{-3}\). The CP-mirror equivalence principle then leads to fairly precise predictions of unexpectedly large branching fractions of invisible decays (\(9.9\times 10^{-6}\), \(1.8\times 10^{-6}\), \(4.4\times 10^{-7}\), and \(3.6\times 10^{-8}\)) for \(K^0_L\), \(K^0_S\), \(\Lambda^0\), and \(\Xi^0\), respectively. Hopefully some of these will be measured at current or planned facilities around the world.