By decomposing the Ï€⁰Ï€⁰state into components of definite isospin I, using the methods given in Appendix C, it can be shown that

where the phase factors are due to the strong interaction between the final-state pions and the superscripts (0, 2) refer to the isospin of the ππ state. (I = 1 is forbidden by Bose statistics.) Use this result, together with expansion (11.33), to show that the ratio η₀₀ defined in (11.39) may be written in the form (11.42), with

Where

M[K⁰ †’ (ππ)_0,2] ‰¡ A_0,2,

and by CPT invariance,

M[KÌ…⁰ †’ (ππ)_0,2] ‰¡ A^ˆ—_0,2,

with A₂ << A₀, and where A₀ may be taken as real. In deriving this result, neglect second-order terms in the small quantities ε and A₂.

Transcribed Image Text:

ciốo Ms,L M(K3,1 – x°x®) = /Fe*s M3,1 – VEeth M3,1, S,L S,L e' = -iv2- Im A2 Ao expli(бә — бо)),