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 → π 0 π 0 X: it is an entangled state of π 0 and η. Particle decay is one of the most fascinating phenomena in the physics world, it also plays a significant role in searching for new particles, which is always one of the main tasks of fundamental research.Recently, HyperCP collaboration has reported [1] the first evidence for the decay Σ + → pµ + µ − with branching ratio at the level of 10 −8 from data taken by the HyperCP (E871) experiment at Fermilab. Narrow range of dimuon masses in three observed events in that experiment suggested a new particle X with mass of 214.3 MeV. Stimulated by this exciting new discovery, some important literatures on interpreting and finding this new particle came out: Gorbunov and Rubakov suggested [2] that Sgoldino -superpartner of goldino -may take the responsibility for the anomalous events mentioned above; X.-G. He and his colleague [3] argued that this new "HyperCP particle" can be identified with the light pseudoscalar Higgs boson in the next-to-minimal supersymmetric standard model. The most recent effort in finding this novel particle X was done by Tung et al.[4], they searched for the decay of K 0 L → π 0 π 0 X, X → γγ with the E391a detector at KEK, and reported an upper limit of the branching ratio at the level of 10 −7 , and the possible mass region of this new pseudoscalar particle is 194.3-219.3 MeV.In this letter, we will probe the issue of meson decays via Yangian algebra Y (su(3)). In fact, investigating the hadronic decay channels of light pseudoscalar mesons via Yangian is an important and powerful approach. 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 * Electronic address: tianlijun@shu.edu.cn † Electronic address: jinyanling@shu.edu.cn ‡ Electronic address: yjiang@shu.edu.cn X in the decay K 0 L → π 0 π 0 X, and we show that X might be an entangled state of π 0 and η.As is known, mesons can be looked upon as entanglement states of quarks, and the high energy quantum teleportation related to kaons has already been under investigation [5]. As a co-product, the entanglement degrees of initial and final states of the transition processes are also presented in this letter.Yangian Y (su (3) The Yangian related to the Lie algebra su(3) is denoted as Y (su(3)) [11]. It is generated by the generators {I α , J α } which are usually defined as follows,