Study ofa00(980)−f0(980)mixing

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Abstract

Using samples of $2.25\ifmmode\times\else\texttimes\fi{}{10}^{8}$ $J/\ensuremath{\psi}$ events and $1.06\ifmmode\times\else\texttimes\fi{}{10}^{8}$ ${\ensuremath{\psi}}^{\ensuremath{'}}$ events collected with the BES III detector, we study the ${f}_{0}(980)\ensuremath{\rightarrow}{a}_{0}^{0}(980)$ and ${a}_{0}^{0}(980)\ensuremath{\rightarrow}{f}_{0}(980)$ transitions in the processes $J/\ensuremath{\psi}\ensuremath{\rightarrow}\ensuremath{\phi}{f}_{0}(980)\ensuremath{\rightarrow}\ensuremath{\phi}{a}_{0}^{0}(980)$ and ${\ensuremath{\chi}}_{c1}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{a}_{0}^{0}(980)\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{f}_{0}(980)$, respectively. Evidence for ${f}_{0}(980)\ensuremath{\rightarrow}{a}_{0}^{0}(980)$ is found with a significance of $3.4\ensuremath{\sigma}$, while in the case of ${a}_{0}^{0}(980)\ensuremath{\rightarrow}{f}_{0}(980)$ transition, the significance is $1.9\ensuremath{\sigma}$. Measurements and upper limits of both branching ratios and mixing intensities are determined.

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