Resonance parameters of the vector charmoniumlike state $G(3900)$
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| Format: | Preprint |
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2025
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| _version_ | 1866913945414008832 |
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| author | Ye, Quanxing Zhang, Zhenyu Du, Meng-Lin Meißner, Ulf-G. Niu, Peng-Yu Wang, Qian |
| author_facet | Ye, Quanxing Zhang, Zhenyu Du, Meng-Lin Meißner, Ulf-G. Niu, Peng-Yu Wang, Qian |
| contents | Motivated by the updated analysis of the $G(3900)$ by the BESIII collaboration, we perform a global analysis of the cross sections of the $e^+e^-\to D\bar{D}$, $e^+e^-\to D\bar{D}^*+c.c.$, $e^+e^-\to D^*\bar{D}^*$ processes, especially focusing on the properties of the $G(3900)$. As the energy region of interest is limited by the next opening threshold, i.e. the $D_1\bar{D}$ threshold, we focus on the energy region $[3.7,4.25]~\mathrm{GeV}$, where three charmonia $ψ(1D)$, $ψ(3S)$ and $ψ(2D)$ explicitly contribute to the cross sections. By constructing the $P$-wave contact interaction between the $(D,D^*)$ doublet and its antiparticle in the heavy quark limit, we extract the physical scattering amplitude by solving the Lippmann-Schwinger equation. No matter whether three or two charmonium states are included in our framework, we always find a dynamically generated state corresponding to the $G(3900)$, which suggests it to be a $P$-wave dynamically generated state. We also predict several dynamically generated states in the corresponding $1^{-+}$ channel. These states can be further searched for in the electron-positron annihilation process involving the emission of a single photon. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_17431 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resonance parameters of the vector charmoniumlike state $G(3900)$ Ye, Quanxing Zhang, Zhenyu Du, Meng-Lin Meißner, Ulf-G. Niu, Peng-Yu Wang, Qian High Energy Physics - Phenomenology Motivated by the updated analysis of the $G(3900)$ by the BESIII collaboration, we perform a global analysis of the cross sections of the $e^+e^-\to D\bar{D}$, $e^+e^-\to D\bar{D}^*+c.c.$, $e^+e^-\to D^*\bar{D}^*$ processes, especially focusing on the properties of the $G(3900)$. As the energy region of interest is limited by the next opening threshold, i.e. the $D_1\bar{D}$ threshold, we focus on the energy region $[3.7,4.25]~\mathrm{GeV}$, where three charmonia $ψ(1D)$, $ψ(3S)$ and $ψ(2D)$ explicitly contribute to the cross sections. By constructing the $P$-wave contact interaction between the $(D,D^*)$ doublet and its antiparticle in the heavy quark limit, we extract the physical scattering amplitude by solving the Lippmann-Schwinger equation. No matter whether three or two charmonium states are included in our framework, we always find a dynamically generated state corresponding to the $G(3900)$, which suggests it to be a $P$-wave dynamically generated state. We also predict several dynamically generated states in the corresponding $1^{-+}$ channel. These states can be further searched for in the electron-positron annihilation process involving the emission of a single photon. |
| title | Resonance parameters of the vector charmoniumlike state $G(3900)$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2504.17431 |