About neutral mesons and particle oscillations in the light of field-theoretical prescriptions of Weinberg

Abstract

By extending the well-known Weinberg's prescriptions on the diagonalization of the mass term of the Lagrangian without increasing the total number of entities, we get the following conclusions: the set of neutral $K$-mesons consists of two elements, $K_{S}^{0}$ and $K_{L}^{0}$; the states $K^{0}$ and $\bar{K}^{0}$ do not exist as physical objects (in the form of particles or "particle mixtures"); the absence of the states $K^{0}$ and $\bar{K}^{0}$ destroys the grounds for introducing the notion of their oscillations, further replicated as the neutrino oscillation concept. The conclusions concerning the neutral $K$-mesons are also applicable to the neutral $D$-, $B$- and $B_{s}$-mesons.