English

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

High Energy Physics - Phenomenology 2014-11-17 v2

Abstract

The \ppp=ψ(3770)\ppp = \psi(3770) resonance is expected to be mainly ccˉ(13D1)c \bar c(1^3D_1), but tensor forces and coupling to charmed particle pairs can mix it with \pp(23S1)\pp(2^3S_1) and other states. Implications of this mixing for decays of \ppp\ppp to non-charmed final states are discussed. (i) The ratio Γ(\pppγ+χc2)/Γ(\pppγ+χc0)\Gamma(\ppp \to \gamma + \chi_{c2})/ \Gamma(\ppp \to \gamma + \chi_{c0}) is expected to be highly suppressed if \ppp\ppp is a pure D-wave state, and is enchanced by mixing. (ii) The expected decay \ppρπ\pp \to \rho \pi and other ``missing'' modes can appear as corresponding \ppp\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\ppp. (iii) Enhancements can appear in penguin amplitudes in B decays, BKηB \to K \eta' branching ratios, and direct CP-violating asymmetries in BKπB \to K \pi decays.

Keywords

Cite

@article{arxiv.hep-ph/0105327,
  title  = {Charmless Final States and S--D-wave mixing in the $\psi''$},
  author = {Jonathan L. Rosner},
  journal= {arXiv preprint arXiv:hep-ph/0105327},
  year   = {2014}
}

Comments

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