Observation of $a_0^0(980)$-$f_0(980)$ Mixing

Abstract

We report the first observation of $a_0^0(980)$-$f_0(980)$ mixing in the decays of $J/\psi \to \varphi f_0(980)\to \varphi a_0^0(980)\to \varphi \eta {\pi }^0$ and ${\chi }_{c1}\to a_0^0(980){\pi }^0\to f_0(980){\pi }^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$, using data samples of $1.31\times 10^9$ $J/\psi$ events and $4.48\times 10^8$ $\psi (3686)$ events accumulated with the BESIII detector. The signals of $f_0(980)\to a_0^0(980)$ and $a_0^0(980)\to f_0(980)$ mixing are observed at levels of statistical significance of $7.4\sigma$ and $5.5\sigma$, respectively. The corresponding branching fractions and mixing intensities are measured and the constraint regions on the coupling constants, $g_{a_0{K}^{+}{K}^{-}}$ and $g_{f_0{K}^{+}{K}^{-}}$, are estimated. The results improve the understanding of the nature of $a_0^0(980)$ and $f_0(980)$.

arXiv comment7 pages, 4 figures, 2 tables

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• Mixing of the $f_0$ and $a_0$ scalar mesons in threshold photoproduction
• Proposed Search for $a_0^0(980)-f_0(980)$ Mixing in Polarization Phenomena
• Large Isospin mixing in phi radiative decay and the spatial size of the f0(980)- a0(980) meson
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• Theoretical study of the process $D_s^{+}\to {\pi }^{+}{K}_S^0{K}_S^0$ and the isovector partner of $f_0(1710)$
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• The perturbative QCD predictions for the decay B^{0}_{s}\rightarrow SS(a_{0}(980),f_{0}(980),f_{0}(500))
• Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants
• Study of the isospin breaking decay $\mathbf{Y}(2175)\to \mathbf{\varphi }{\mathbf{f}}_0(980)\to \mathbf{\varphi \eta }{\mathbf{\pi }}^0$ at BESIII
• Studying triangle singularity through spin observables
• Study of $a_0^0(980)$-$f_0(980)$ mixing from $a_0(1450)\to a_0^0(980)f_0(500)\to {\pi }^{+}{\pi }^{-}{f}_0(500)$
• Direct CP violation in multi-body $B$ decays with the $a_0^0(980)$--$f_0(980)$ mixing
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• Amplitude Analysis of the Isospin-Violating Decay $J/\psi \to \gamma \eta {\pi }^0$
• Observation of $\psi (3686)\to \gamma \eta (1405)$ via $\eta (1405)\to f_0(980){\pi }^0$
• The impact of $a_0^0(980)-f_0(980)$ mixing on the localized $CP$ violations of the $B^{-}\to K^{-}{\pi }^{+}{\pi }^{-}$ decay