Glueball contribution to $K_{L}$ →2γ and its possible detection in $D_{s}$ decay

Considering the ι(1460) to be the physical glueball G and to mix with η’, we then find the mixing angle to be restricted to 0.15>sin

θ_{2}

>-0.43 from the data of

π^{0}

,η,η’→2γ and the upper bound on ι(1460)→2γ. The transition matrix element for

K_{L}

→

G^{0}

(bare glueball) is also computed (and found to be comparable to that for

K_{L}

→

π^{0}

). These permit the glueball contribution to

K_{L}

→2γ and & to be significant. Finally, for large mixing angles, the decay of

D_{s}^{+}

into a glueball is sizable, e.g., B(

D_{s}^{+}

→ι(1460)

π^{+}

) can be as large as 1%, and searches for glueballs in these decays are highly desirable.

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Glueball contribution toKL→2γ and its possible detection inDsdecay