1. $a_0(1710)$-$f_0(1710)$ mixing effect in the $D_{s}^{+} \rightarrow K_S^{0} K_S^{0} \pi^{+}$ decay
- Author
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Peng, Yu-Wen, Liang, Wei, Xiong, Xiaonu, and Xiao, Chu-Wen
- Subjects
High Energy Physics - Phenomenology ,High Energy Physics - Experiment - Abstract
With the measurements of the decay $D^+_s \rightarrow K^0_S K^0_S \pi^+$ by the BESIII Collaboration, we investigate this three-body weak decay via the chiral unitary approach for the final state interaction, where the resonances $S(980)$ and $S(1710)$ are dynamically reproduced with the interaction of eleven coupled channels, and the $W$-external and -internal emission mechanisms are considered at the quark level. Besides, we also take into account the contribution from the $P$-wave resonance $K^*(892)^+$ and make a combined fit of the $K^0_S K^0_S$ and $K^0_S \pi^+$ invariant mass spectra measured by the BESIII Collaboration. The fitted results show that the enhancement around 1.7 GeV in $K^0_S K^0_S$ mass spectrum is overlapped with two visible peaks, indicating the mixing signal originated from the resonances $a_0(1710)$ and $f_0(1710)$ due to their different poles (masses). Thus, the decay $D^+_s \rightarrow K^0_S K^0_S \pi^+$ is helpful to reveal their molecular nature with the mixing signal, which can be more precisely measured in the future., Comment: 17 pages, 7 figures, 2 tables
- Published
- 2024