pi <---> K Meson Vacuum Transitions (Oscillations) in Diagram Approach in the Model of Dynamical Analogy of the Cabibbo-Kobayashi-Maskawa Matrices

Abstract

The elements of the theory of vacuum oscillations and the model of dynamical expansion of the theory of weak interactions works at the tree level, i.e. the model of dynamical analogy of Cabibbo-Kobayashi- Maskawa matrices and its further development, are given. It is shown that the quarks and massive vector bosons must be structural and these structural particles (subparticles) must interact to generate quark and vector boson masses. In this case the problem of singularity cancellations does not arise in this model. It is also shown that, for self consistency of the theory, the weak decays of $K$ mesons must go through massive vector boson $B$ but not $W$ boson. In the framework of this model the probability of $\pi \leftrightarrow K$ transitions (oscillations) in the diagram approach is computed. These transitions are virtual since masses of $\pi$ and $K$ mesons differ considerably. These transitions (oscillations) can be registered through $K$ decays after transitions of virtual $K$ mesons to their own mass shell by using their quasielastic strong interactions.