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Scalar mesons $a^0_0(980)$ and $f_0(980)$ can mix with each other throughisospin violating effects, and the mixing intensity has been predicted at thepercent level in various theoretical models. However the mixing has not beenfirmed established on the experimental side to date. In this work we explorethe possibility to extract the $a_0-f_0$ mixing intensity using weak decays ofheavy mesons: $D_s\to [\pi^0\eta, \pi\pi] e^+\nu$, $B_s\to [\pi^0\eta,\pi\pi]\ell^+\ell^-$ and the $B_s\to J/\psi [\pi^0\eta,\pi^+\pi^-]$ decays.Based on the large amount of data accumulated by various experimentalfacilities including BEPC-II, LHC, Super KEKB and the future colliders, we findthat the $a_0-f_0$ mixing intensity might be determined to a high precision,which will lead to a better understanding of the nature of scalar mesons.

Search for the $a_0(980)-f_0(980)$ mixing in weak decays of $D_s/B_s$ mesons