Oscillations of $K^0$ Mesons in the Phase Volume Approach in the Standard Model and in the Model of Dynamical Analogy of the Cabibbo-Kobayashi-Maskawa Matrices

Abstract

The elements of the theory of dynamical expansion of the theory of weak interaction working at the tree level, i.e. the model of dynamical analogy of Cabibbo-Kobayashi- Maskawa matrices, are given. The equation for mass difference of $K^0_1, K^0_2$ mesons or the length of $K^0, \bar K^0$ meson oscillations in the phase volume approach in the frame work of the standard model of the weak interactions and the model of dynamical analogy of Cabibbo-Kobayashi-Maskawa matrices is calculated (in this model the oscillations of $K^0, \bar K^0$ mesons arise at violation of strangeness by $B$ bosons). Comparison of the length of oscillations in the diagram and phase volume approaches was done. The length of $K^0 \leftrightarrow \bar K^0$ oscillations in the phase volume approach is much more than the length of these oscillations in the diagram approach.