Measurements of the Ratios $\mathcal{B}(D_s^{+}\to \eta {\ell }^{+}\nu )/\mathcal{B}(D_s^{+}\to \varphi {\ell }^{+}\nu )$ and $\mathcal{B}(D_s^{+}\to {\eta }^{\prime }{\ell }^{+}\nu )/\mathcal{B}(D_s^{+}\to \varphi {\ell }^{+}\nu )$

Abstract

Using the CLEO~II detector we measure $\mathcal{B}(D_s^{+}\to \eta e^{+}\nu )/\mathcal{B}(D_s^{+}\to \varphi e^{+}\nu )=1.24\pm 0.12\pm 0.15$, $\mathcal{B}(D_s^{+}\to {\eta }^{\prime }{e}^{+}\nu )/\mathcal{B}(D_s^{+}\to \varphi e^{+}\nu )=0.43\pm 0.11\pm 0.07$ and $\mathcal{B}(D_s^{+}\to {\eta }^{\prime }{e}^{+}\nu )/\mathcal{B}(D_s^{+}\to \eta e^{+}\nu )=0.35\pm 0.09\pm 0.07$. We find the vector to pseudoscalar ratio, $\mathcal{B}(D_s^{+}\to \varphi e^{+}\nu )/\mathcal{B}(D_s^{+}\to (\eta +{\eta }^{\prime })e^{+}\nu )=0.60\pm 0.06\pm 0.06$, which is similar to the ratio found in non strange $D$ decays.

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