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.

arXiv comment12 pages, 5 figures. Published version

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Cited by in corpus (33)

• The hidden-charm pentaquark and tetraquark states
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• New Charmonium States in QCD Sum Rules: a Concise Review
• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• How Resonances can synchronise with Thresholds
• Analysis of the $Z(4430)$ as the first radial excitation of the $Z_c(3900)$
• $Z^{+}(4430)$ as a $D_1^{\prime }{D}^{\ast }$ ($D_1{D}^{\ast }$) molecular state
• A model-independent confirmation of the $Z(4430{)}^{-}$ state
• The meson $Z^{+}(4430)$ as a tetraquark state
• Weak Decays of Triply Heavy Baryons
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Hidden-charm and radiative decays of the Z(4430) as a hadronic D_1 \bar{D^\ast} bound state
• Weak Decays of Stable Doubly Heavy Tetraquark States
• ${\mathrm{Z}}^{+}(4430)$ and Analogous Heavy Flavor States
• Line Shapes of the Z(4430)
• Mass spectrum of the axial-vector hidden charmed and hidden bottom tetraquark states
• Fully Heavy Tetraquark $bb\bar{c}\bar{c}$: Lifetimes and Weak Decays
• Production of Charmed Tetraquarks from $B_c$ and $B$ decays
• Possible tetraquark states in the ${\pi }^{+}{\chi }_{c1}$ invariant mass distribution
• The two-body open charm decays of $Z^{+}(4430)$
• Is the Z^+(4430) a radially excited state of D_s?
• 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
• Weak Decays of Doubly-Heavy Tetraquarks $b\bar{c}q\bar{q}$
• Searching for tetraquark through weak decays of b-baryons
• Deciphering Weak Decays of Triply Heavy Baryons by SU(3) Analysis
• The signal of $Z^{\pm }(4430)$ in nucleon-antinucleon scattering
• Weak decays of $B_c$ into two hadrons under flavor SU(3) symmetry
• 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
• Theoretical Interest in B-Meson Physics at the B factories, Tevatron and the LHC