Recently, the Belle Collaboration has reported a resonant state produced in $B\to K\pi {\psi }^{\prime }$, which is called $Z(4430)$. This state is charged, so it can not be interpreted as an ordinary charmonium state. In this paper, we analyze the octet to which this particle belongs and predict the masses of mesons in this octet. Utilizing flavor SU(3) symmetry, we study production rates in several kinds of $B$ decays. The ${\overline{B}}^0\to Z_s^{-}{\pi }^{+}\to K^{-}{\psi }^{\prime }{\pi }^{+}$ and $B^{-}\to {\overline{Z}}_s^0{\pi }^{-}\to K_S{\psi }^{\prime }{\pi }^{-}$ decay channels, favored by Cabibbo-Kobayashi-Maskawa matrix elements, can have branching ratios of $\mathcal{O}({10}^{-5})$. This large branching ratio could be observed at the running $B$ factories to detect $Z_s$ particles containing a strange quark. We also predict large branching ratios of the $Z$ and $Z_c$ ($\overline{c}c\overline{c}D$, $D=u$, $d$, $s$) particle production rates in nonleptonic $B_c$ decays and radiative $B$ decays. Measurements of these decays at the ongoing $B$ factories and the forthcoming Large Hadron Collider-b experiments are helpful to clarify the mysterious $Z$ particles.

• Received 8 November 2007

DOI:https://doi.org/10.1103/PhysRevD.77.054001