$D_s$ decays to $\eta$ and ${\eta }^{\prime }$ final states: a phenomenological analysis

Abstract

We consider the semileptonic and nonleptonic $D_s$ decay modes to final states with $\eta$ and ${\eta }^{\prime }$. We use QCD sum rules to determine the $D_s\to \eta$ form factor $f_{+}^{\eta }$, and a generalized factorization ansatz to compute nonleptonic decays. We propose a parameterization of possible OZI suppressed contributions producing the ${\eta }^{\prime }$ in the final state, compatible with current data; such a scheme can be further constrained improving the precision of the measurement of the $D_s$ decay rates, as expected by the ongoing experiments.

arXiv commentLaTex, 15 pages, 3 eps figures. Some references added

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