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Are the $a_{0}(1710)$ or $a_{0}(1817)$ resonances in the $D_{s}^{+} \rightarrow K_{S}^{0}K^{+}\pi^{0}$ decay?

Authors :
Wang, Zhong-Yu
Peng, Yu-Wen
Yi, Jing-Yu
Luo, W. C.
Xiao, C. W.
Publication Year :
2023

Abstract

The BESIII Collaboration claimed that a new $a_{0}(1817)$ resonance was found in the recent results of the $D_{s}^{+} \rightarrow K_{S}^{0}K^{+}\pi^{0}$ 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 $\bar{K}^{*}(892)^{0}$, ${K}^{*}(892)^{+}$ 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 $K^{*}\bar{K}^{*}$, respectively, which support the molecular nature for them. Moreover, some obtained branching fractions are in agreement with the experimental measurements.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2306.06395
Document Type :
Working Paper