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

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 $\eta$.