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

Abstract

This work considers $K^0,{\bar{K}}^0$ meson mixings and oscillations via $K_1^0,K_2^0$ meson states at strangeness violation by weak interactions in two cases - without and with taking into account $K_1^0,K_2^0$ 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 $K_2^o$ mesons remain at long distances therefore the condition for oscillations is absent. So, at long distances in this process only long living $K_2^0$ mesons are present but not $K^o,{\bar{K}}^o$ mesons.

Comments: 10 pages, 5 figuries