Models of η^{0}→ π^{0}+ 2γ Decay (original) (raw)
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Recent experimental results on the zt'-+ zr'2v decay indicate that the branching ratio 8=P"(zr'2y)/ P"(zr zr p) is of the order of (or compatible with) 1. Using the vector-meson-dominant model, we have computed the width and the pion energy spectrum of the zt'z zr'2y decay, using the relevant SU(3)-symmetric coupling constants, including the zo-d mixing hypothesis as given by the static SU(6) theory, which demands Pe(zr'y) =0. We have then studied the effect of varying the mixing angle and the effective coupling constant fe &"ar ound the static SU(6) value over a wide range compatible with the present experimental information, using as input the experimental P (zr'y) as before. The model gives 8=0.331&&10 ' at the static SU(6) value, which increases by a factor of 10 at the mixing angle of 20'. It therefore appears that unless there is a drastic decrease in the experimental branching ratio, the vector-meson-dominant model cannot provide a dominant mechanism for the p~2 1-02' decay. A remark is also made about the relation between the value of the cop mixing angle and the ratios of various observed decay rates. We also study an alternative simple mechanism for the &-+ 21-'2p decay which may be suggested by the tadpole model of the electromagnetic mass difference of hadrons. We assume the existence of the I = 1, normal 0+ (rzzr) resonance c and consider the intermediary of the e meson go~woeo-+ 21 02'. Some consequences of this model are discussed.
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