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Resonance parameters of the vector charmoniumlike state $G (3900)$

Quanxing Ye ^1,2,3, Zhenyu Zhang ^1,2,3, Meng-Lin Du^4,*, Ulf-G. Meißner ^5,6,7,†, Peng-Yu Niu ^1,3,‡, and Qian Wang ^1,3,8,9,§

¹State Key Laboratory of Nuclear Physics and Technology, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China
²Key Laboratory of Atomic and Subatomic Structure and Quantum Control (MOE), Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Guangzhou 510006, China
³Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Guangdong Provincial Key Laboratory of Nuclear Science, Guangzhou 510006, China
⁴School of Physics, University of Electronic Science and Technology of China, Chengdu 611731, China
⁵Helmholtz-Institute für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany
⁶Institute for Advanced Simulation (IAS-4), D-52425 Jülich, Germany
⁷Peng Huanwu Collaborative Center for Reserch and Education, International Institute for Interdisciplinary and Frontiers, Beihang University, Beijing 100191, China
⁸Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou 516000, Guangdong Province, China
⁹Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki 567-0047, Japan

^*Contact author: du.ml@uestc.edu.cn
^†Contact author: meissner@hiskp.uni-bonn.de
^‡Contact author: niupy@m.scnu.edu.cn
^§Contact author: qianwang@m.scnu.edu.cn

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Phys. Rev. D 112, 016015 – Published 15 July, 2025

DOI: https://doi.org/10.1103/qq61-ncln

Abstract

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] GeV, where three charmonia $ψ (1 D)$ , $ψ (3 S)$ , and $ψ (2 D)$ 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.

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Phys. Rev. D 112, 016015– Published 15 July, 2025

Vol. 112, Iss. 1 — 1 July 2025

Received 27 April 2025
Accepted 23 June 2025

DOI: https://doi.org/10.1103/qq61-ncln

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Resonance parameters of the vector charmoniumlike state $G (3900)$

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Resonance parameters of the vector charmoniumlike state G(3900)

Abstract

Physics Subject Headings (PhySH)

Article Text

References (50)

Resonance parameters of the vector charmoniumlike state $G (3900)$