Charged charmonium-like states as rescattering effects in B -> D_sJ D^(*) decays

TL;DR

This paper proposes that observed peaking structures in certain B meson decays can be explained by rescattering effects involving D_sJ states, providing a phenomenological model that accounts for the Z(4430) resonance without requiring its existence as a new particle.

Contribution

The study introduces a rescattering-based explanation for peaking structures in B decay spectra, linking them to known meson states and predicting properties of the D_s(2S) meson.

Findings

The Z(4430) peak can be explained by rescattering effects involving D_s(2S) states.

The mass of D_s(2S) is predicted to be between 2600-2650 MeV/c2.

Rescattering effects can produce broad structures in the chi_c1 pi+ spectrum.

Abstract

Using purely phenomenological approach we show that the peaking structures observed in the psi(2S) pi+ and chi_c1 pi+ mass spectra in B -> psi(2S)(chi_c1) pi+ K decays can be result of (D \bar{D}^(*))+ -> (ccbar)_res pi+ rescattering in the decays B -> D_sJ (-> \bar{D}(*) K) D(*). In particular, the position of the peak in the chain B -> D_s(2S) D+ -> K- \bar{D}*0 D+ -> K- psi(2S) pi+ coincides well with the measured Z(4430) mass, assuming the mass of D_s(2S) (the first radial excitation of D_s) to be 2610 MeV/c2. The widths of the Z(4430) peak is also well reproduced in this approach independent on the width of D_s(2S). Although the decay B -> D_s(2S) D+ has not been observed so far and even D_s(2S)-meson is not discovered yet, this decay is expected to be large, and the mass of D_s(2S) is predicted in the range (2600-2650)MeV/c2. The broad bump in chi_c1 pi+ spectrum can be attributed to the B -> D_s*(2S) D+ -> K- \bar{D}0 D+ decay observed with a large branching fraction followed by rescattering \bar{D}0 D^+ -> chi_c1 pi+.