Energy-Charge Correlation in the $π^+π^-π^0$ Decay of $K_L$ and of Tagged Neutral Kaons

Abstract

We relate the asymmetries in the charged pions energy in the decay into $π^+π^-π^0$ of $K_L$ and of the tagged neutral kaons. The former asymmetry is a given combination of $\Re(ε)$, $\Im(ε)$, and $|ε'|$. Moreover, the non-violating CP asymmetry allows a test for the $χ$PT predictions within the Zel'dovich approach for the final state interaction.