Pole analysis for the $D^{*}\bar K$-$D\bar{K^*}$ coupled-channel system
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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_ | 1866909677878509568 |
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| author | Shi, Pan-Pan Gil-Domínguez, F. Molina, R. Du, Meng-Lin |
| author_facet | Shi, Pan-Pan Gil-Domínguez, F. Molina, R. Du, Meng-Lin |
| contents | By solving the Lippmann-Schwinger equation, possible hadronic molecules in the $D^*\bar K$-$D\bar K^*$ coupled-channel system are investigated with the one-meson exchange potentials, where both vector and pseudoscalar mesons are considered as exchange particles. We find an S-wave virtual state with mass $M=2487$ MeV, and a resonance with $M=2759$ and width $Γ=18$ MeV. In the $D^* \bar K$ invariant mass distribution, the virtual state appears as a cusp at the $D^*\bar K$ threshold, while the resonance potentially manifests as a dip. In particular, we take into account the $D\bar K π$ three-body dynamics due to the on-shell pion exchange and the finite decay width for $\bar K^*$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01197 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pole analysis for the $D^{*}\bar K$-$D\bar{K^*}$ coupled-channel system Shi, Pan-Pan Gil-Domínguez, F. Molina, R. Du, Meng-Lin High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory By solving the Lippmann-Schwinger equation, possible hadronic molecules in the $D^*\bar K$-$D\bar K^*$ coupled-channel system are investigated with the one-meson exchange potentials, where both vector and pseudoscalar mesons are considered as exchange particles. We find an S-wave virtual state with mass $M=2487$ MeV, and a resonance with $M=2759$ and width $Γ=18$ MeV. In the $D^* \bar K$ invariant mass distribution, the virtual state appears as a cusp at the $D^*\bar K$ threshold, while the resonance potentially manifests as a dip. In particular, we take into account the $D\bar K π$ three-body dynamics due to the on-shell pion exchange and the finite decay width for $\bar K^*$. |
| title | Pole analysis for the $D^{*}\bar K$-$D\bar{K^*}$ coupled-channel system |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2408.01197 |