About virtual pi --> K Meson Oscillations

TL;DR

This paper calculates the probability and optimal conditions for observing virtual pi to K meson oscillations within the Standard Model, including the origin of the mixing angle, using decay and interaction analysis.

Contribution

It provides a detailed theoretical computation of pi to K oscillations, including conditions for detection and insights into the mixing angle origin.

Findings

Calculated transition probabilities and optimal observation distances.

Identified energy thresholds to avoid background interference.

Provided a solution for the origin of the mixing angle in vacuum oscillation theory.

Abstract

In the framework of the Standard Model the probability (and time) of pi --> K transitions (oscillations) are computed. These transitions are virtual ones 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. But for avoiding the background from inelastic K mesons, the energies E(pi) of pi mesons must be less than the threshold energy of their creation, i.e. E(pi) < 0.91GeV. The optimal distances for observation of these oscillations are computed. Solution of the problem of origin of mixing angle in the theory of vacuum oscillation is given.