$a_0(1710)$-$f_0(1710)$ mixing effect in the $D_{s}^{+} \rightarrow K_S^{0} K_S^{0} π^{+}$ decay
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909099254349824 |
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| author | Peng, Yu-Wen Liang, Wei Xiong, Xiaonu Xiao, Chu-Wen |
| author_facet | Peng, Yu-Wen Liang, Wei Xiong, Xiaonu Xiao, Chu-Wen |
| contents | With the measurements of the decay $D^+_s \rightarrow K^0_S K^0_S π^+$ 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 $K^0_S π^+$ 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 $D^+_s \rightarrow K^0_S K^0_S π^+$ is helpful to reveal their molecular nature with the mixing signal, which can be more precisely measured in the future. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02539 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $a_0(1710)$-$f_0(1710)$ mixing effect in the $D_{s}^{+} \rightarrow K_S^{0} K_S^{0} π^{+}$ decay Peng, Yu-Wen Liang, Wei Xiong, Xiaonu Xiao, Chu-Wen High Energy Physics - Phenomenology High Energy Physics - Experiment With the measurements of the decay $D^+_s \rightarrow K^0_S K^0_S π^+$ 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 $K^0_S π^+$ 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 $D^+_s \rightarrow K^0_S K^0_S π^+$ is helpful to reveal their molecular nature with the mixing signal, which can be more precisely measured in the future. |
| title | $a_0(1710)$-$f_0(1710)$ mixing effect in the $D_{s}^{+} \rightarrow K_S^{0} K_S^{0} π^{+}$ decay |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2402.02539 |