Charmless Final States and S--D-wave mixing in the $ψ''$

Details Charmless Final States and S--D-wave mixing in the $ψ''$ Charmless Final States and S--D-wave mixing in the $ψ''$

2001-05-30

arxiv.org/abs/hep-ph/0105327v2

Phys.Rev. D64 (2001) 094002

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.64.094002

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 $B \to K \pi$ decays.

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