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 (3)

• Threshold effect and π^\pm ψ(2S) peak
• The study of $B_c^{-}\to X(3872){\pi }^{-}(K^{-})$ Decays in the Covariant Light-Front Approach
• Bottomed Analog of Z+(4433)

Cited by in corpus (22)

• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• Analysis of the $Z(4430)$ as the first radial excitation of the $Z_c(3900)$
• How Resonances can synchronise with Thresholds
• $Z^{+}(4430)$ as a $D_1^{\prime }{D}^{\ast }$ ($D_1{D}^{\ast }$) molecular state
• The meson $Z^{+}(4430)$ as a tetraquark state
• Hidden-charm and radiative decays of the Z(4430) as a hadronic D_1 \bar{D^\ast} bound state
• ${\mathrm{Z}}^{+}(4430)$ and Analogous Heavy Flavor States
• Line Shapes of the Z(4430)
• Mass spectrum of the axial-vector hidden charmed and hidden bottom tetraquark states
• Possible tetraquark states in the ${\pi }^{+}{\chi }_{c1}$ invariant mass distribution
• Is the Z^+(4430) a radially excited state of D_s?
• The two-body open charm decays of $Z^{+}(4430)$
• Weak Decays of Stable Open-bottom Tetraquark by SU(3) Symmetry Analysis
• Weak Decays of Triply Heavy Tetraquarks $b\bar{c}b\bar{q}$
• Recoupling Mechanism for exotic mesons and baryons
• Searching for tetraquark through weak decays of b-baryons
• The signal of $Z^{\pm }(4430)$ in nucleon-antinucleon scattering
• Deciphering Weak Decays of Triply Heavy Baryons by SU(3) Analysis
• SU(3) analysis of fully-light tetraquarks in heavy meson weak decays
• The Production of Singly Charmed Pentaquark $\bar{c}qqqq$ from Bottom Baryon
• The study of doubly charmed pentaquark $cc\bar{q}qq$ with the SU(3) symmetry