Three-body final state interactions in $B^+\to D\bar{D}K^+$ decays
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912942904049664 |
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| author | Hu, Xin-Yue He, Jiahao Niu, Pengyu Wang, Qian Yan, Yupeng |
| author_facet | Hu, Xin-Yue He, Jiahao Niu, Pengyu Wang, Qian Yan, Yupeng |
| contents | This paper presents a detailed analysis of the three-body final state interactions in the $B^+\to D\bar{D}K^+$ process, whose phase space is sufficient small. To precisely extract the resonance parameters, for instance the $χ_{c0/2}(3930)$ in the $D\bar{D}$ invariant mass distributions, in this process, one has to take into account final state interaction, especially the three-body final state interaction. We employ the dispersive Khuri-Treiman formalism, combined with a parameterization of the $D\bar{D}$ interaction based on Heavy Quark Spin Symmetry. By performing a simultaneous fit to the experimental data from LHCb, BaBar, and Belle collaborations, the scheme with three-body interaction successfully describes the invariant mass distributions of the three two-body subsystems. We precisely extract the pole structures of $χ_{c0}(3930)$ and $ψ(3770)$ as $3.913-0.018i~\mathrm{GeV}$ and $3.764-0.002i~\mathrm{GeV}$ in $B^+$ decay. By performing the pole trajectory analysis on a uniformized complex plane, we find that both of them stem from the input bare state. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_10039 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Three-body final state interactions in $B^+\to D\bar{D}K^+$ decays Hu, Xin-Yue He, Jiahao Niu, Pengyu Wang, Qian Yan, Yupeng High Energy Physics - Phenomenology This paper presents a detailed analysis of the three-body final state interactions in the $B^+\to D\bar{D}K^+$ process, whose phase space is sufficient small. To precisely extract the resonance parameters, for instance the $χ_{c0/2}(3930)$ in the $D\bar{D}$ invariant mass distributions, in this process, one has to take into account final state interaction, especially the three-body final state interaction. We employ the dispersive Khuri-Treiman formalism, combined with a parameterization of the $D\bar{D}$ interaction based on Heavy Quark Spin Symmetry. By performing a simultaneous fit to the experimental data from LHCb, BaBar, and Belle collaborations, the scheme with three-body interaction successfully describes the invariant mass distributions of the three two-body subsystems. We precisely extract the pole structures of $χ_{c0}(3930)$ and $ψ(3770)$ as $3.913-0.018i~\mathrm{GeV}$ and $3.764-0.002i~\mathrm{GeV}$ in $B^+$ decay. By performing the pole trajectory analysis on a uniformized complex plane, we find that both of them stem from the input bare state. |
| title | Three-body final state interactions in $B^+\to D\bar{D}K^+$ decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.10039 |