Abstract
We investigate the decays of bar{B}^0_s, bar{B}^0 and B^- into eta _c plus a scalar or vector meson in a theoretical framework by taking into account the dominant process for the weak decay of bar{B} meson into eta _c and a qbar{q} pair. After hadronization of this qbar{q} component into pairs of pseudoscalar mesons we obtain certain weights for the pseudoscalar meson-pseudoscalar meson components. In addition, the bar{B}^0 and bar{B}^0_s decays into eta _c and rho ^0, K^* are evaluated and compared to the eta _c and phi production. The calculation is based on the postulation that the scalar mesons f_0(500), f_0(980) and a_0(980) are dynamically generated states from the pseudoscalar meson-pseudoscalar meson interactions in S-wave. Up to a global normalization factor, the pi pi , K bar{K} and pi eta invariant mass distributions for the decays of bar{B}^0_s rightarrow eta _c pi ^+ pi ^-, bar{B}^0_s rightarrow eta _c K^+ K^-, bar{B}^0 rightarrow eta _c pi ^+ pi ^-, bar{B}^0 rightarrow eta _c K^+ K^-, bar{B}^0 rightarrow eta _c pi ^0 eta , B^- rightarrow eta _c K^0 K^- and B^- rightarrow eta _c pi ^- eta are predicted. Comparison is made with the limited experimental information available and other theoretical calcualtions. Further comparison of these results with coming LHCb measurements will be very valuable to make progress in our understanding of the nature of the low lying scalar mesons, f_0(500), f_0(980) and a_0(980).
Highlights
Estimations of the branch ratios for some of these decays have been done by employing the perturbative QCD factorization approach [5,6]
For the Bs0 → J/ψπ +π − decay, a simple theoretical method based on the final state interaction of mesons provided by the chiral unitary approach has been applied in
It was found that the crucial information on π η scattering can be deduced from the B 0 → J/ψπ η and J/ψ K Kdecays [20]. Following this line of research, the purpose of this paper is to investigate the reactions of B 0, Bs0 and B− decaying into ηc plus a scalar or vector meson
Summary
Estimations of the branch ratios for some of these decays have been done by employing the perturbative QCD factorization approach [5,6]. For the Bs0 → J/ψπ +π − decay, a simple theoretical method based on the final state interaction of mesons provided by the chiral unitary approach has been applied in. It was found that the crucial information on π η scattering can be deduced from the B 0 → J/ψπ η and J/ψ K Kdecays [20] Following this line of research, the purpose of this paper is to investigate the reactions of B 0, Bs0 and B− decaying into ηc plus a scalar or vector meson. We would like to mention that, up to an arbitrary normalization, one can obtain the invariant mass distributions and relate the different mass distributions with no parameters fitted to the data This is due to the unified picture that the chiral unitary approach provides for the final state interaction of mesons.
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