Partners of Z(4430) and Productions in B Decays

TL;DR

This paper analyzes the Z(4430) particle and related states using flavor SU(3) symmetry, predicting production rates and decay channels in B decays, aiding experimental searches at B factories and LHCb.

Contribution

It introduces a flavor symmetry-based framework to classify Z(4430) and predicts specific production rates in B decays, guiding experimental detection.

Findings

Predicted large branching ratios for Z_s production in B decays.

Identified decay channels with branching ratios of order 10^{-5}.

Provided mass predictions for mesons in the Z(4430) octet.

Abstract

Recently, Belle Collaboration has reported a resonant state produced in $B\to K \pi\psi'$, 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 $\bar B^0\to Z_s^-\pi^+\to K^-\psi'\pi^+$ and $B^-\to \bar Z_s^0 \pi^-\to K_S\psi'\pi^-$ decay channels, favored by Cabibbo-Kobayashi-Maskawa (CKM) matrix elements, can have branching ratios of ${\cal O}(10^{-5})$. 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 $Z_c$ ($\bar cc\bar c D, D=u,d,s$) 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.