Roles of the scalar $f_0(500)$ and $f_0(980)$ in the process $D^0\to π^0π^0 \bar{K}^0$
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913680498622464 |
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| author | Zhang, Xiao-Hui Zhang, Han Ke, Bai-Cian Liu, Li-Juan Li, De-Min Wang, En |
| author_facet | Zhang, Xiao-Hui Zhang, Han Ke, Bai-Cian Liu, Li-Juan Li, De-Min Wang, En |
| contents | Motivated by the near-threshold enhancement and the dip structure around 1~GeV in the $π^0π^0$ invariant mass distribution of the process $D^0\to π^0π^0\bar{K}^0$ observed by the CLEO Collaboration, we have investigated this process by taking into account the contribution from the $S$-wave pseudoscalar meson-pseudoscalar meson interactions within the chiral unitary approach, and also the one from the intermediate resonance $K^{*}(892)$. Our results are in good agreement with the CLEO measurements, which implies that, the near-threshold enhancement near the $π^0π^0$ threshold is mainly due to the contributions from the scalar meson $f_0(500)$ and the intermediate $K^*$, and the cusp structure around 1~GeV in the $π^0π^0$ invariant mass distribution should be associated with the scalar meson $f_0(980)$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_09966 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Roles of the scalar $f_0(500)$ and $f_0(980)$ in the process $D^0\to π^0π^0 \bar{K}^0$ Zhang, Xiao-Hui Zhang, Han Ke, Bai-Cian Liu, Li-Juan Li, De-Min Wang, En High Energy Physics - Phenomenology Motivated by the near-threshold enhancement and the dip structure around 1~GeV in the $π^0π^0$ invariant mass distribution of the process $D^0\to π^0π^0\bar{K}^0$ observed by the CLEO Collaboration, we have investigated this process by taking into account the contribution from the $S$-wave pseudoscalar meson-pseudoscalar meson interactions within the chiral unitary approach, and also the one from the intermediate resonance $K^{*}(892)$. Our results are in good agreement with the CLEO measurements, which implies that, the near-threshold enhancement near the $π^0π^0$ threshold is mainly due to the contributions from the scalar meson $f_0(500)$ and the intermediate $K^*$, and the cusp structure around 1~GeV in the $π^0π^0$ invariant mass distribution should be associated with the scalar meson $f_0(980)$. |
| title | Roles of the scalar $f_0(500)$ and $f_0(980)$ in the process $D^0\to π^0π^0 \bar{K}^0$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2409.09966 |