Hadronic decay $D^+\to\pi^+\eta\eta$ and the $a_0(980)$ and $f_0(1370)$ contributions

Abstract

Motivated by the resent BESIII Collaboration measurements of the process $D^+\to\pi^+\eta\eta$, we investigate this process by considering the contribution from the resonance $a_0(980)$, which is generated by $S$-wave pseudoscalar meson-pseudoscalar meson interaction, and the contribution from the intermediate scalar meson $f_0(1370)$. Our results could give a good description of the $\pi^+\eta$ and $\eta\eta$ invariant mass distributions, which implies that the contribution from the intermediate $f_0(1370)$, neglected in BESIII analysis, could play a role in this process. Furthermore, the predicted Dalitz plots are also consistent with the BESIII measurements. The more precise measurements about this process in future could shed light on the mechanism of this process and the properties of $f_0(1370)$ and $a_0(980)$.