Partners of Z(4430) and Productions in B Decays

Abstract

Recently, 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 ${\bar{B}}^0\to Z_s^{-}{\pi }^{+}\to K^{-}{\psi }^{\prime }{\pi }^{+}$ and $B^{-}\to {\bar{Z}}_s^0{\pi }^{-}\to K_S{\psi }^{\prime }{\pi }^{-}$ decay channels, favored by Cabibbo-Kobayashi-Maskawa (CKM) 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 $Z_c$ ($\bar{c}c\bar{c}D,D=u,d,s$) particle production rates in non-leptonic $B_c$ decays and radiative B decays. Measurements of these decays at the ongoing $B$ factories and the forthcoming Large Hadron Collider (LHC)-b experiments are helpful to clarify the mysterious $Z$ particles.

12 pages, 5 figures. Published version

References in corpus (2)

• Threshold effect and π^\pm ψ(2S) peak
• Bottomed Analog of Z+(4433)

Cited by in corpus (4)

• How Resonances can synchronise with Thresholds
• $Z^{+}(4430)$ as a $D_1^{\prime }{D}^{\ast }$ ($D_1{D}^{\ast }$) molecular state
• Is the Z^+(4430) a radially excited state of D_s?
• The two-body open charm decays of $Z^{+}(4430)$