Final State Interactions in the Ds+ --> omega pi+ and Ds+ --> rho0 pi+ Decays

Abstract

We investigate the decay mechanisms in the Ds+ --> omega pi+ and Ds+ --> rho0 pi+ transitions. The naive factorization ansatz predicts vanishing amplitude for the Ds+ --> omega pi+ decay, while the Ds+ --> rho0 pi+ decay amplitude does have an annihilation contribution also in this limit. Both decays can proceed through intermediate states of hidden strangeness, e.g. K, K*, which we estimate in this paper. These contributions can explain the experimental value for the Ds+ --> omega pi+ decay rate, which no longer can be viewed as a clean signature of the annihilation decay of Ds+. The combination of the π(1300) pole dominated annihilation contribution and the internal K, K* exchange can saturate present experimental upper bound on Ds+ --> rho0 pi+ decay rate, which is therefore expected to be within the experimental reach. Finally, the proposed mechanism of hidden strangeness FSI constitutes only a small correction to the Cabibbo allowed decay rates Ds--> K K*, phi pi, which are well described already in the factorization approximation.

12 pages, 3 figures

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• Final State Interaction Effect in Pure Annihilation $B_s\to \rho \rho$ Decay
• Large CP Asymmetries from Final-State Interactions in Charmful Baryonic Decays of $B^0\to {\Xi }_c^{+}{\overline{\Xi }}_c^{-}$ and $B_s^0\to {\Lambda }_c^{+}{\overline{\Lambda }}_c^{-}$
• Rescattering-induced $D\to SS$ weak decays
• The hidden strangeness mechanism in Ds^+ -> omega pi^+ and Ds^+ -> rho^0 pi^+ decays