Observation of the resonant character of the $Z(4430{)}^{-}$ state

Abstract

Resonant structures in $B^0\to {\psi }^{\prime }{\pi }^{-}{K}^{+}$ decays are analyzed by performing a four-dimensional fit of the decay amplitude, using $pp$ collision data corresponding to $3f{\mathrm{b}}^{-1}$ collected with the LHCb detector. The data cannot be described with $K^{+}{\pi }^{-}$ resonances alone, which is confirmed with a model-independent approach. A highly significant $Z(4430{)}^{-}\to {\psi }^{\prime }{\pi }^{-}$ component is required, thus confirming the existence of this state. The observed evolution of the $Z(4430{)}^{-}$ amplitude with the ${\psi }^{\prime }{\pi }^{-}$ mass establishes the resonant nature of this particle. The mass and width measurements are substantially improved. The spin-parity is determined unambiguously to be $1^{+}$.

arXiv comment10 pages, 4 figures

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