Current Algebra, Field-Current Identity, the $K_{2}^{0} K_{1}^{0}$ Electromagnetic Transition, and the Decays $K^{0} \to π π e^{+} e^{-}$

A general discussion is given of the matrix element for the decays

K^{0} \to π π e^{+} e^{-}

; then, using the results of the vector-meson-dominance model to predict the

K_{2}^{0} K_{1}^{0}

electromagnetic transition radius, partial conservation of axial-vector current and current algebra to predict the

K_{2}^{0} \to π^{+} π^{-} γ

transition rate, and the experimental value of the

CP

-violating parameter

ε

, we find the following branching ratios:

\frac{Γ (K_{L}^{0} \to π^{+} π^{-} e^{+} e^{-})}{Γ (K_{L}^{0} \to all) = 1.7 \times 10^{- 7}}

\frac{Γ (K_{L}^{0} \to π^{0} π^{0} e^{+} e^{-})}{Γ (K_{L}^{0} \to all) = 0.2 \times 10^{- 7}}

, and

\frac{Γ (K_{S}^{0} \to π^{+} π^{-} e^{+} e^{-})}{Γ (K_{S}^{0} \to all) = 2.0 \times 10^{- 5}}

This publication has 24 references indexed in Scilit:

Current Algebra, Field-Current Identity, theK20K10Electromagnetic Transition, and the DecaysK0→ππe+e−