Charmless Final State Interaction in B-> pi pi decays

We estimate effects of the final state interactions in B -> pi pi decays coming from rescattering of pi pi via exchange of rho, sigma, f_0 mesons. Then we include the rho rho rescattering via exchange of pi, omega, a_1 mesons and finally we consider contributions of the a_1 pi rescattering via exchange of rho. The absorptive parts of amplitudes for these processes are determined. In the case of pi^+ pi^- decay mode, due to model uncertainties, the calculated contribution is |M_A| =< 1.7 x 10^-8 GeV. This produces a small relative strong phase for the tree and color-suppressed B -> pi pi amplitudes consistent with the result of a recent phenomenological analysis based on the BaBar and Belle results for the B -> pi pi branching ratios and CP asymmetries.Comment: 10 pages, 2 figure

Non-factorizable contributions to Bd0ˉ→Ds(∗)Ds(∗)ˉ\bar{B^0_d} \to D_s^{(*)} \bar{D_s^{(*)}}

It is pointed out that decays of the type $B \to D \bar{D}$ have no factorizable contributions, unless at least one of the charmed mesons in the final state is a vector meson. The dominant contributions to the decay amplitudes arise from chiral loop contributions and tree level amplitudes generated by soft gluon emissions forming a gluon condensate. We predict that the branching ratios for the processes $\bar B^0 \to D_s^+ D_s^-$, $\bar B^0 \to D_s^{+*} D_s^-$ and $\bar B^0 \to D_s^+ D_s^{-*}$ are all of order $(3- 4) \times 10^{-4}$, while $\bar B^0 \to D_s^{+*} D_s^{-*}$ has a branching ratio 5 to 10 times bigger. We emphasize that the branching ratios are sensitive to $1/m_c$ corrections.Comment: 4 pages, 4 figures. Based on talk by J.O. Eeg at BEACH 2004, 6th international conference on Hyperons, Charm and Beauty Hadrons, Illionois Institute of Technology, Chicago, june. 27 - july 3, 200

Color suppressed contributions to the decay modes B_{d,s} -> D_{s,d} D_{s,d}, B_{d,s} -> D_{s,d} D^*_{s,d}, and B_{d,s} -> D^*_{s,d} D^*_{s,d}

The amplitudes for decays of the type $B_{d,s} \to D_{s,d} D_{s,d}$, have no factorizable contributions, while $B_{d,s} \to D_{s,d} D^*_{s,d}$, and $B_{d,s} \to D^*_{s,d} D^*_{s,d}$ have relatively small factorizable contributions through the annihilation mechanism. The dominant contributions to the decay amplitudes arise from chiral loop contributions and tree level amplitudes which can be obtained in terms of soft gluon emissions forming a gluon condensate. We predict that the branching ratios for the processes $\bar B^0_d \to D_s^+ D_s^-$, $\bar B^0_d \to D_s^{+*} D_s^-$ and $\bar B^0_d \to D_s^+ D_s^{-*}$ are all of order $(2- 3) \times 10^{-4}$, while $\bar B^0_s \to D_d^+ D_d^-$, $\bar B^0_s \to D_d^{+*} D_d^-$ and $\bar B^0_s \to D_d^+ D_d^{-*}$ are of order $(4- 7) \times 10^{-3}$. We obtain branching ratios for two $D^*$'s in the final state of order two times bigger.Comment: 15 pages, 4 figure

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

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 \pi(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.Comment: 12 pages, 3 figure

The B^- -> phi phi K^- decay rate with phi phi invariant mass below charm treshold

We investigate the decay mechanism in the B^- -> phi phi K^- decay with the phi phi invariant mass below the charm threshold and in the neighborhood of the eta_c invariant mass region. Our approach is based on the use of factorization model and the knowledge of matrix elements of the weak currents. For the B meson weak transition we apply form factor formalism, while for the light mesons we use effective weak and strong Lagrangians. We find that the dominant contributions to the branching ratio come from the eta, eta' and eta(1490) pole terms of the penguin operators in the decay chains B^- -> eta (eta', eta(1490)) K^- -> phi phi K^-. Our prediction for the branching ratio is in agreement with the Belle's result.Comment: 14 pages, 4 figures, 2 table