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

TL;DR

This paper revisits the theoretical understanding of neutral mesons and their oscillations, arguing that certain states do not physically exist and challenging the conventional notion of meson oscillations based on field-theoretical principles.

Contribution

It extends Weinberg's prescriptions to show that neutral mesons are only the $K_{S}^{0}$ and $K_{L}^{0}$ states, eliminating the physical existence of $K^{0}$ and $ar{K}^{0}$ and their oscillations.

Findings

Neutral $K$-mesons are only $K_{S}^{0}$ and $K_{L}^{0}$.

States $K^{0}$ and $ar{K}^{0}$ do not exist as physical particles.

The concept of meson oscillations is invalidated under this framework.

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.