Role of $a_0(980)$ in the decays $D^{0} \rightarrow K^{+} K^{-} η$ and $π^{+} π^{-} η$
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912257716256768 |
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| author | Rahmani, Sara Liang, Wei Peng, Yu-Wen Lu, Yu Yao, De-Liang Xiao, Chu-Wen |
| author_facet | Rahmani, Sara Liang, Wei Peng, Yu-Wen Lu, Yu Yao, De-Liang Xiao, Chu-Wen |
| contents | In present work, we study the reactions $D^{0} \rightarrow K^{+} K^{-} η$ and $D^0 \rightarrow π^{+} π^{-} η$, and find that the $a_0(980)$ state plays a dominant role. At the quark level, the external and internal $W$-emission mechanisms are taken into account, which can hadronize into the final states, and then the $a_0(980)$ state is generated from the final state interaction. Besides, the contributions of other intermediate resonances, such as $ρ(770)$ and $ϕ(1020)$, are also considered. We make a combined fit of the invariant mass spectra measured by the Belle and BESIII Collaborations, where the results are in good agreement with the experiments, and the signal of the $a_0(980)$ shows great significance. Besides, the antisymmetry data for the production of the $a_0(980)^+$ and $a_0(980)^-$ is described well in the combined fit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02224 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Role of $a_0(980)$ in the decays $D^{0} \rightarrow K^{+} K^{-} η$ and $π^{+} π^{-} η$ Rahmani, Sara Liang, Wei Peng, Yu-Wen Lu, Yu Yao, De-Liang Xiao, Chu-Wen High Energy Physics - Phenomenology In present work, we study the reactions $D^{0} \rightarrow K^{+} K^{-} η$ and $D^0 \rightarrow π^{+} π^{-} η$, and find that the $a_0(980)$ state plays a dominant role. At the quark level, the external and internal $W$-emission mechanisms are taken into account, which can hadronize into the final states, and then the $a_0(980)$ state is generated from the final state interaction. Besides, the contributions of other intermediate resonances, such as $ρ(770)$ and $ϕ(1020)$, are also considered. We make a combined fit of the invariant mass spectra measured by the Belle and BESIII Collaborations, where the results are in good agreement with the experiments, and the signal of the $a_0(980)$ shows great significance. Besides, the antisymmetry data for the production of the $a_0(980)^+$ and $a_0(980)^-$ is described well in the combined fit. |
| title | Role of $a_0(980)$ in the decays $D^{0} \rightarrow K^{+} K^{-} η$ and $π^{+} π^{-} η$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2503.02224 |