Implications for $B\to \eta K$ and $B\to Glueball+K$ Modes from Observed Large $B\to {\eta }^{\prime }K+X$

Abstract

The unexpectedly large branching ratios for $B\to {\eta }^{\prime }K({\eta }^{\prime }{X}_s)$ decays could be of gluonic origin. We study the implications for $B\to \eta K(\eta X_s)$ and $PK(P{X}_s)$, where $P$ is the pseudoscalar glueball. In the mechanism proposed by Fritzsch, large branching ratios are predicted for these modes. The $B\to \eta K$ rate is barely within the experimental limit, and $B\to PK$, $P{X}_s$ could be at the 0.1% and 1% level, respectively. Smaller but less definite results are found for the mechanism of $g^{\ast }\to {\eta }^{\prime }g$ via the gluon anomaly.

Comments: 11 pages, revtex, no figs