D⁺ → Kₛ⁰ π ⁺ η reaction and a₀(980)⁺

We study the D⁺ → K̄⁰ π ⁺ η D + → K ¯ 0 π + η reaction where the a₀(980) a 0 ( 980 ) excitation plays a dominant role. We consider mechanisms of external and internal emission at the quark level, hadronize the q q̄ q q ¯ components into two mesons and allow these mesons to undergo final state interaction where the a₀(980) a 0 ( 980 ) state is generated. While the a₀(980) a 0 ( 980 ) production is the dominant term, we also find other terms in the reaction that interfere with this production mode and, through interference with it, lead to a shape of the a₀(980) a 0 ( 980 ) significantly different from the one observed in other experiments, with an apparently much larger width.