Measurement of the I=1/2 $K\pi$ $\mathcal{S}$-wave amplitude from Dalitz plot analyses of ${\eta }_c\to K\bar{K}\pi$ in two-photon interactions

Abstract

We study the processes $\gamma \gamma \to K_S^0{K}^{\pm }{\pi }^{\mp }$ and $\gamma \gamma \to K^{+}{K}^{-}{\pi }^0$ using a data sample of 519~$f{b}^{-1}$ recorded with the BaBar detector operating at the SLAC PEP-II asymmetric-energy $e^{+}{e}^{-}$ collider at center-of-mass energies at and near the ${\rm Y}(nS)$ ($n=2,3,4$) resonances. We observe ${\eta }_c$ decays to both final states and perform Dalitz plot analyses using a model-independent partial wave analysis technique. This allows a model-independent measurement of the mass-dependence of the $I=1/2$ $K\pi$ $\mathcal{S}$-wave amplitude and phase. A comparison between the present measurement and those from previous experiments indicates similar behaviour for the phase up to a mass of 1.5 $GeV/c^2$. In contrast, the amplitudes show very marked differences. The data require the presence of a new $a_0(1950)$ resonance with parameters $m=1931\pm 14\pm 22MeV/c^2$ and $\Gamma =271\pm 22\pm 29MeV$.

arXiv comment20 pages, 14 postscript figures, Submitted to Phys. Rev. D

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• Contributions of $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the three-body decays $B\to K\pi h$
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• Strange Hadron Spectroscopy with Secondary KL Beam in Hall D
• Investigation of Mass and Decay Characteristics of the All-light Tetraquark
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• Theoretical study of scalar meson $a_0(1710)$ in the ${\eta }_c\to {\bar{K}}^0{K}^{+}{\pi }^{-}$ reaction
• Unveiling the $a_0(1710)$ nature in the process $J/\psi \to {\bar{K}}^0{K}^{+}{\rho }^{-}$
• Ordinary and exotic mesons in the extended Linear Sigma Model