$D^{+}\to K_s^0{\pi }^{+}\eta$ reaction and $a_0(980{)}^{+}$

Abstract

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

Comments: 8 pages, 12 figures