A priori mixing of mesons and the |Delta I|=1/2 rule in K\to\pi\pi

TL;DR

This paper explores how pre-existing mixings in meson states could explain the |Delta I|=1/2 rule in K→ππ decays, using strong interaction Hamiltonian and isospin symmetry to match experimental data.

Contribution

It proposes a novel hypothesis of a priori meson mixings to account for the |Delta I|=1/2 rule in kaon decays, linking strong interactions and isospin symmetry.

Findings

Successfully describes experimental data with isospin symmetry relations

Provides a new perspective on the origin of the |Delta I|=1/2 rule

Connects meson mixing hypothesis with strong interaction dynamics

Abstract

We consider the hypothesis of a priori mixings in the mass eigenstates of mesons to obtain the |Delta I|=1/2 rule in K\to\pi\pi. The Hamiltonian responsible for the transition is the strong interacting one. The experimental data are described using the isospin symmetry relations between the strong coupling constants.