Are the $a_0(1710)$ or $a_0(1817)$ resonances in the $D_s^{+}\to K_S^0{K}^{+}{\pi }^0$ decay?

Abstract

The BESIII Collaboration claimed that a new $a_0(1817)$ resonance was found in the recent results of the $D_s^{+}\to K_S^0{K}^{+}{\pi }^0$ decay. For this decay process, we perform a unitary amplitude to analyze the contributions of the states $a_0(980{)}^{+}$ and $a_0(1710{)}^{+}$ with the final state interactions. Considering the Cabibbo-favored external and internal $W$-emission mechanisms at the quark level, and the contributions of the resonances $a_0(980{)}^{+}$, $a_0(1710{)}^{+}$ in the $S$-wave and ${\bar{K}}^{\ast }(892{)}^0$, $K^{\ast }(892{)}^{+}$ in the $P$-wave, the recent experimental data of the $K_S^0{K}^{+}$ invariant mass spectrum from the BESIII Collaboration can be described well. In our results, the states $a_0(980)$ and $a_0(1710)$ are dynamically generated from the final state interactions of $K\bar{K}$ and $K^{\ast }{\bar{K}}^{\ast }$, respectively, which support the molecular nature for them. Moreover, some obtained branching fractions are in agreement with the experimental measurements.