Invisible decays of long-lived neutral hadrons
In the new paper titled “Invisible decays of neutral hadrons“, we made fairly precise calculations on the invisible decay branching fractions of some relatively long-lived neutral hadrons such as K0 and Λ0.
The idea is that 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 symmetry breaking scales, i.e., the mixing strength and mass splitting parameters for two oscillation systems of \(K^0-\bar{K^0}\) and \(K^0-K^{0′}\), 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. Such unique predictions can be readily tested at current or planned collider facilities around the world, for example, BESIII at Beijing Electron Positron Collider and NA64 at CERN.
