The theoretical study of $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$

Abstract

Inspired by recent BESIII's amplitude analysis on $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$, we develop a model based on the chiral unitary approach to discribe the $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$ decay, where $D_s^{+}$ decays into a ${\pi }^{+}$ and a quark-antiquark pair through weak decay of charm quark. The interaction of pseudoscalar mesons produced by the hadronization of quark-antiquark pair will lead to dynamically generated $f_0(980)$. The dominant amplitudes from resonances $f_0(1370)$ and $f_2(1270)$ in BESIII fit are also included in our model. In addition to above contributions, to obtain a good fit we also add a amplitude from resonance $f_2(1430)$ to our model. Our model fits well $M_{{\pi }^0{\pi }^0}$ and $M_{{\pi }^{+}{\pi }^0}$ invariant mass distributions simultaneously.

Comments: 8 pages, 6 figures, 1 table. Updated to match published version