$$D^+ \rightarrow K_s^0 \pi ^+ \eta $$ D + → K s 0 π + η reaction and $$a_0(980)^+$$ a 0 ( 980 ) +

Abstract

Abstract We study the $$D^+ \rightarrow {\bar{K}}^0 \pi ^+ \eta $$ D + → K ¯ 0 π + η reaction where the $$a_0(980)$$ a 0 ( 980 ) excitation plays a dominant role. We consider mechanisms of external and internal emission at the quark level, hadronize the $$q {\bar{q}}$$ q q ¯ components into two mesons and allow these mesons to undergo final state interaction where the $$a_0(980)$$ a 0 ( 980 ) state is generated. While the $$a_0(980)$$ 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 $$a_0(980)$$ a 0 ( 980 ) significantly different from the one observed in other experiments, with an apparently much larger width.