About $K^o, \bar K^o$ meson oscillations at strangeness violation by weak interactions without and with taking into account meson decays

TL;DR

This paper analyzes $K^0, ar K^0$ meson oscillations considering weak interactions and meson decays, revealing that decay effects prevent oscillation descriptions at long distances due to the dominance of long-lived mesons.

Contribution

It provides a detailed comparison of meson oscillation theory with and without decay effects, highlighting limitations in long-distance descriptions when decays are included.

Findings

Oscillation theory accurately describes transitions without decay.

Including decay effects alters long-distance meson composition.

Long-lived $K^0_2$ mesons dominate at large distances.

Abstract

This work considers $K^0, \bar K^0$ meson mixings and oscillations via $K^0_1, K^0_2$ meson states at strangeness violation by weak interactions in two cases - without and with taking into account $K^0_1, K^0_2$ meson decays. In the first case the oscillation theory correctly describes $K^o, \bar K^o \to K^o, \bar K^o$ transition processes. In the second case, when we take into account meson decays, the oscillation theory cannot correctly describe this process at long distances since mainly $K^o_2$ mesons remain at long distances therefore the condition for oscillations is absent. So, at long distances in this process only long living $K^0_2$ mesons are present but not $K^o, \bar K^o$ mesons.