Radiative decays of X(3872) within DD̅^* molecular framework

Abstract

Within the framework of nonrelativistic effective field theory, we calculate the radiative decay widths of the process X(3872) → DD̅ γ while taking into account the DD̅ final-state interactions via resonance saturation. The X(3872) is treated as a D^*D̅ +c.c. bound state with J^PC=1⁺⁺. For a representative mixing angle θ=π/4, our numerical calculations predict that the tree-level partial decay width for X(3872) → D⁰ D̅⁰γ can reach approximately $7.3$ keV, while that for X(3872) → D⁺ D^- γ is less than $1$ keV. It is found that the contribution of the triangle loop diagrams to the total decay width of X(3872) → D⁰ D̅⁰γ is very small, amounting to less than 1% of the tree-level result. For the X(3872)→ D⁺ D^-γ decay, the contribution from the triangle loop diagrams is relatively more significant, enhancing the total decay width by roughly 1.3% relative to the tree-level result. We expect that the present predictions based on the molecular picture of the X(3872) can be tested by future experiments.

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BibTeX RIS

BibTeX

@misc{cai2026radiative,
  title = {{Radiative decays of $X(3872)$ within $D\bar D^*$ molecular framework}},
  author = {Hao-Dong Cai and Run-Hao Chen and Yuan-Jun Gao and Zhao-Sai Jia and Gang Li and Shi-Dong Liu},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2607.06046},
  eprint = {2607.06046},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.06046},
}

RIS

TY  - UNPB
TI  - Radiative decays of X(3872) within DD̅^* molecular framework
AU  - Hao-Dong Cai
AU  - Run-Hao Chen
AU  - Yuan-Jun Gao
AU  - Zhao-Sai Jia
AU  - Gang Li
AU  - Shi-Dong Liu
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2607.06046
UR  - https://arxiv.org/abs/2607.06046
AB  - Within the framework of nonrelativistic effective field theory, we calculate the radiative decay widths of the process X(3872) → DD̅ γ while taking into account the DD̅ final-state interactions via resonance saturation. The X(3872) is treated as a D^*D̅ +c.c. bound state with J^PC=1^++. For a representative mixing angle θ=π/4, our numerical calculations predict that the tree-level partial decay width for X(3872) → D^0 D̅^0γ can reach approximately $7.3$ keV, while that for X(3872) → D^+ D^- γ is less than $1$ keV. It is found that the contribution of the triangle loop diagrams to the total decay width of X(3872) → D^0 D̅^0γ is very small, amounting to less than 1% of the tree-level result. For the X(3872)→ D^+ D^-γ decay, the contribution from the triangle loop diagrams is relatively more significant, enhancing the total decay width by roughly 1.3% relative to the tree-level result. We expect that the present predictions based on the molecular picture of the X(3872) can be tested by future experiments.
ER  -

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