Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\omega$-$\phi$ mixing and weak annihilation in $D_s$ decays   The mixing between nonstrange and strange quark wavefunctions in the $\omega$
and $\phi$ mesons leads to a small predicted branching ratio $\b(D_s^+ \to
\omega e^+ \nu_e) = {\cal O}(10^{-4})(\delta/3.34^\circ)^2$, where $\delta$ is
the mixing angle. The value $\delta = -3.34^\circ$ is obtained in a
mass-independent analysis, while a mass-dependent analysis gives $\delta =
-0.45^\circ$ at $m(\omega)$ and $-4.64^\circ$ at $m(\phi)$. Measurement of this
branching ratio thus can tell whether the decay is dominated by
$\phi$--$\omega$ mixing, or additional nonperturbative processes commonly known
as "weak annihilation" (WA) contribute. The role of WA in the decay $D_s^+ \to
\omega \pi^+$ and its possible use in estimating WA effects in $D_s^+ \to
\omega e^+ \nu_e$ are also discussed. Assuming that the dynamics of WA in
$D_s^+ \to \omega \pi^+$ is similar in $D_s^+ \to \omega e^+ \nu_e$ we estimate
$\b(D_s^+ \to \omega e^+ \nu_e) = (1.3 \pm 0.5)\times 10^{-3}$.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga