Charmless Final States and S--D-wave mixing in the ${\psi }^{\prime \prime }$

Abstract

The $\ppp = ψ(3770)$ resonance is expected to be mainly $c\bar{c}(1^3{D}_1)$, but tensor forces and coupling to charmed particle pairs can mix it with $\pp(2^3S_1)$ and other states. Implications of this mixing for decays of $\ppp$ to non-charmed final states are discussed. (i) The ratio $Γ(\ppp \to γ+ χ_{c2})/ Γ(\ppp \to γ+ χ_{c0})$ is expected to be highly suppressed if $\ppp$ is a pure D-wave state, and is enchanced by mixing. (ii) The expected decay $\pp \to ρπ$ and other ``missing'' modes can appear as corresponding $\ppp$ partial widths, enhanced by a factor depending on the mixing angle. General arguments then suggest a branching ratio of about 1%, give or take a factor of 2, for charmless hadronic decays of $\ppp$. (iii) Enhancements can appear in penguin amplitudes in B decays, $B\to K{\eta }^{\prime }$ branching ratios, and direct CP-violating asymmetries in $B\to K\pi$ decays.

11 pages, LaTeX, no figures, to be submitted to Phys. Rev. D. New discussions and references added

References in corpus (1)

• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters

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