The role of the $f_0(1710)$ and $a_0(1710)$ resonances in the $D^0 \to ρ^0 ϕ$, $ωϕ$ decays
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866915605013069824 |
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| author | Ikeno, Natsumi Jia, Wen-Hao Liang, Wei-Hong Oset, Eulogio |
| author_facet | Ikeno, Natsumi Jia, Wen-Hao Liang, Wei-Hong Oset, Eulogio |
| contents | We study the $D^0 \to ρ^0 ϕ$, $ωϕ$ decays which proceed in a direct mode via internal emission with equal rates. Yet, the experimental branching ratio for the $ρ^0 ϕ$ mode is twice as big as that for the $ωϕ$ mode. We find a natural explanation based on the extra indirect mechanism where $K^{*+} K^{*-}$ is produced via external emission and that channel undergoes final state interaction with other vector--vector channels to lead to the $ρ^0 ϕ$, $ωϕ$ final states, with transition amplitudes dominated by the $a_0(1710)$ resonance, recently discovered, and $f_0(1710)$ respectively. The large coupling of the $a_0(1710)$ to the $ρ^0 ϕ$ channel is mostly responsible for this large ratio of the production rates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20399 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The role of the $f_0(1710)$ and $a_0(1710)$ resonances in the $D^0 \to ρ^0 ϕ$, $ωϕ$ decays Ikeno, Natsumi Jia, Wen-Hao Liang, Wei-Hong Oset, Eulogio High Energy Physics - Phenomenology We study the $D^0 \to ρ^0 ϕ$, $ωϕ$ decays which proceed in a direct mode via internal emission with equal rates. Yet, the experimental branching ratio for the $ρ^0 ϕ$ mode is twice as big as that for the $ωϕ$ mode. We find a natural explanation based on the extra indirect mechanism where $K^{*+} K^{*-}$ is produced via external emission and that channel undergoes final state interaction with other vector--vector channels to lead to the $ρ^0 ϕ$, $ωϕ$ final states, with transition amplitudes dominated by the $a_0(1710)$ resonance, recently discovered, and $f_0(1710)$ respectively. The large coupling of the $a_0(1710)$ to the $ρ^0 ϕ$ channel is mostly responsible for this large ratio of the production rates. |
| title | The role of the $f_0(1710)$ and $a_0(1710)$ resonances in the $D^0 \to ρ^0 ϕ$, $ωϕ$ decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2412.20399 |