Precise determination of the pole position of the exotic $Z_c(3900)$
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909281196965888 |
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| author | Chen, Yun-Hua Du, Meng-Lin Guo, Feng-Kun |
| author_facet | Chen, Yun-Hua Du, Meng-Lin Guo, Feng-Kun |
| contents | We perform a unified description of the experimental data of the $π^+π^-$ and $J/ψπ^\pm$ invariant mass spectra for $e^+e^- \rightarrow J/ψπ^+π^-$ and the $D^0 D^{\ast-}$ mass spectrum for $e^+e^- \rightarrow D^0 D^{\ast-} π^+$ at $e^+e^-$ center-of-mass energies 4.23 and 4.26 GeV. The analysis takes into account open-charm meson loops that contain triangle singularities, the $J/ψπ$-$D\bar D^*$ coupled-channel interaction respecting unitarity, and the strong $ππ$-$K\bar K$ final state interaction using dispersion relations. The analysis leads to a precise determination of the $Z_c(3900)$ pole with the pole mass and width $(3880.7 \pm 1.7_\text{stat}\pm 22.4_\text{syst})$ MeV and $(35.9 \pm 1.4_\text{stat}\pm 15.3_\text{syst})$ MeV, respectively, and hints at that the $D\bar D^*$ molecular and non-molecular components are of similar importance in the $Z_c(3900)$ formation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_15965 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Precise determination of the pole position of the exotic $Z_c(3900)$ Chen, Yun-Hua Du, Meng-Lin Guo, Feng-Kun High Energy Physics - Phenomenology High Energy Physics - Experiment We perform a unified description of the experimental data of the $π^+π^-$ and $J/ψπ^\pm$ invariant mass spectra for $e^+e^- \rightarrow J/ψπ^+π^-$ and the $D^0 D^{\ast-}$ mass spectrum for $e^+e^- \rightarrow D^0 D^{\ast-} π^+$ at $e^+e^-$ center-of-mass energies 4.23 and 4.26 GeV. The analysis takes into account open-charm meson loops that contain triangle singularities, the $J/ψπ$-$D\bar D^*$ coupled-channel interaction respecting unitarity, and the strong $ππ$-$K\bar K$ final state interaction using dispersion relations. The analysis leads to a precise determination of the $Z_c(3900)$ pole with the pole mass and width $(3880.7 \pm 1.7_\text{stat}\pm 22.4_\text{syst})$ MeV and $(35.9 \pm 1.4_\text{stat}\pm 15.3_\text{syst})$ MeV, respectively, and hints at that the $D\bar D^*$ molecular and non-molecular components are of similar importance in the $Z_c(3900)$ formation. |
| title | Precise determination of the pole position of the exotic $Z_c(3900)$ |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2310.15965 |