Yangian description for decays and possible explanation of $X$ in the decay $K^0_L\to \pi^0 \pi^0 X$

TL;DR

This paper introduces a Yangian algebra-based framework to describe hadronic decays of light pseudoscalar mesons and proposes that the unknown particle $X$ in a specific decay is an entangled state of $$ and $.

Contribution

It applies Yangian algebra to model meson decays and offers a novel interpretation of the particle $X$ as an entangled state of known mesons.

Findings

Decay channels are formulated using Yangian transition operators.

The particle $X$ is interpreted as an entangled state of $$ and $$.

Provides a new algebraic approach to meson decay processes.

Abstract

In this letter, hadronic decay channels of light pseudoscalar mesons are realized in Yangian algebra. In the framework of Yangian, we find that these decay channels can be formulated by acting transition operators, composed of the generators of Yangian, on the corresponding pseudoscalar mesons. This new description of decays allows us to present a possible interpretation of the new unknown particle $X$ in the decay $K^0_L\to \pi^0 \pi^0 X$: it is an entangled state of $\pi^0$ and $\eta$.