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Peer-reviewedCC BY 4.0The European Physical Journal C

Criterion for the existence of the G(3900) resonance

  1. 1Southwest Jiaotong University
  2. 2Chinese Academy of Sciences
  3. 3University of Chinese Academy of Sciences

Abstract

About 18 years ago, the BABAR and the Belle Collaborations reported evidence for a new cc̅ c c ¯ structure near 3900 MeV 3900 MeV in e+e− → DD̅ e + e - → D D ¯ , triggering debate over whether it represents a genuine hadronic state or arises from interference effects and the opening of the D*D̅ D ∗ D ¯ threshold. The issue remained unsettled until 2024, when BESIII, with an enlarged e+e− → DD̅ e + e - → D D ¯ sample, confirmed the presence of the G (3900) structure, reviving discussion of its nature. Although it has been proposed as a P -wave DD̅* D D ¯ ∗ molecular state, no consensus has emerged, and interference effects remain a plausible explanation. In this Letter, we show that analyzing the e+e−→ DD̅ e + e - → D D ¯ cross section as a function of the transverse momentum of the final-state D meson reveals a prominent Jacobian peak. This feature cannot be generated by interference effects alone and thus provides direct evidence for the existence of G (3900). Moreover, the peak position is highly sensitive to the actual mass of G (3900), offering a precise determination method. The criterion illustrated by G (3900) can be extended to other hadronic systems, offering a powerful tool to identify genuine resonances.

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BibTeX
@article{huang2026criterion,
  title = {{Criterion for the existence of the G(3900) resonance}},
  author = {Yin Huang and Xurong Chen},
  journal = {The European Physical Journal C},
  year = {2026},
  month = oct,
  doi = {10.1140/epjc/s10052-026-16432-2},
  url = {https://link.springer.com/10.1140/epjc/s10052-026-16432-2},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Criterion for the existence of the G(3900) resonance
AU  - Yin Huang
AU  - Xurong Chen
PY  - 2026
DA  - 2026/10/09
JO  - The European Physical Journal C
DO  - 10.1140/epjc/s10052-026-16432-2
UR  - https://link.springer.com/10.1140/epjc/s10052-026-16432-2
AB  - About 18 years ago, the BABAR and the Belle Collaborations reported evidence for a new cc̅ c c ¯ structure near 3900 MeV 3900 MeV in e^+e^− → DD̅ e + e - → D D ¯ , triggering debate over whether it represents a genuine hadronic state or arises from interference effects and the opening of the D^*D̅ D ∗ D ¯ threshold. The issue remained unsettled until 2024, when BESIII, with an enlarged e^+e^− → DD̅ e + e - → D D ¯ sample, confirmed the presence of the G (3900) structure, reviving discussion of its nature. Although it has been proposed as a P -wave DD̅^* D D ¯ ∗ molecular state, no consensus has emerged, and interference effects remain a plausible explanation. In this Letter, we show that analyzing the e^+e^−→ DD̅ e + e - → D D ¯ cross section as a function of the transverse momentum of the final-state D meson reveals a prominent Jacobian peak. This feature cannot be generated by interference effects alone and thus provides direct evidence for the existence of G (3900). Moreover, the peak position is highly sensitive to the actual mass of G (3900), offering a precise determination method. The criterion illustrated by G (3900) can be extended to other hadronic systems, offering a powerful tool to identify genuine resonances.
SN  - 1434-6044
SN  - 1434-6052
ER  -