Manifestations of the $a^0_0(980)-f_0(980)$ mixing in $D^0\to K^0_Sπ^+π^-$ and $D^0\to K^0_Sηπ^0$ decays

Abstract

Possible manifestations of the isospin-breaking mixing of the a 0 0 (980) and f 0 (980) resonances are analyzed in the D 0 → K 0 S π + π − and D 0 → K 0 S ηπ 0 decays. It is shown that the a 0 0 (980) − f 0 (980) mixing has the most influence on the π + π − mass spectrum in the decay D 0 → K 0 S π + π − . Owing to the a 0 0 (980) − f 0 (980) mixing, the f 0 (980) peak indistortions comparable with its size. The effect essentially depends on the relative phase between the amplitudes of the D 0 → K 0 S f 0 (980) and D 0 → K 0 S a 0 0 (980) transitions.