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**Charmless final states and S–D-wave mixing**

**in the $\ppp$ [^1]**

Jonathan L. Rosner [^2]

*Enrico Fermi Institute and Department of Physics*

*University of Chicago, 5640 S. Ellis Avenue, Chicago, IL 60637*

(Received June 2001)

> The $\ppp = \psi(3770)$ resonance is expected to be mainly $c \bar c(1^3D_1)$, 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 $\Gamma(\ppp
> \to \gamma + \chi_{c2})/ \Gamma(\ppp \to \gamma + \chi_{c0})$ is expected to be highly suppressed if $\ppp$ is a pure D-wave state, and is enchanced by mixing. (ii) The expected decay $\pp \to \rho \pi$ 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, $B \to K \eta'$ branching ratios, and direct CP-violating asymmetries in $B \to K \pi$ 