Role of the scalar $f_0(980)$ in the process $D_s^{+}\to \ddot{I}{€}^{+}\ddot{I}{€}^0\ddot{I}{€}^0$

Abstract

Based on the BESIII measurements on the reaction of $D_s^{+}\to \ddot{I}{€}^{+}\ddot{I}{€}^0\ddot{I}{€}^0$, we investigate this process by considering the $S$-wave pseudoscalar-pseudoscalar interaction within the unitary chiral approach, and the contributions from the intermediate resonances $f_0(1370)$ and $f_2(1270)$. Our calculation could reasonably reproduce the experimental data, and our results imply that the $f_0(980)$, dynamically generated from the $S$-wave pseudoscalar-pseudoscalar interaction, plays an important role in this process, and the contributions from the intermediate resonances $f_0(1370)$ and $f_2(1270)$ are also necessary. The more precise measurements of this process in future could shed light on the nature of the $f_0(1370)$ and $f_2(1270)$.

7 pages, 4 figures