Dalitz decays of vector heavy quarkonia into χ_QJ(1P) in the Bethe-Salpeter approach

Abstract

We systematically investigate the Dalitz decays of vector heavy quarkonia into χ_QJ(1P)ℓ⁺ℓ^- (Q=c,b; J=0,1,2; ℓ=e,μ) within the instantaneous Bethe--Salpeter framework. The study covers ψ(2S), ψ(1D), Υ(2S), and the so-far unobserved Υ(1D) states. For ψ(2S) electron channels, our predictions are in excellent agreement with BESIII data. We further provide the first relativistic predictions for ψ(1D) decays, with branching ratios for several electron channels reaching the 10⁻⁵ level, which is accessible at current BESIII statistics. For bottomonium, Υ(2S)→χ_bJe⁺e^- decays yield branching fractions of 𝒪(10⁻⁴), suggesting potential observability at Belle~II. Muonic channels are also discussed, with kinematic constraints carefully addressed. Our results establish a coherent theoretical basis for future experimental searches for heavy quarkonium Dalitz decays.

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BibTeX RIS

BibTeX

@misc{wang2026dalitz,
  title = {{Dalitz decays of vector heavy quarkonia into $χ_QJ(1P)$ in the Bethe-Salpeter approach}},
  author = {Xin-Wen Wang and Wen-Yuan Ke and Su-Yan Pei and Tianhong Wang and Qiang Li and Guo-Li Wang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14897},
  eprint = {2609.14897},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14897},
}

RIS

TY  - UNPB
TI  - Dalitz decays of vector heavy quarkonia into χ_QJ(1P) in the Bethe-Salpeter approach
AU  - Xin-Wen Wang
AU  - Wen-Yuan Ke
AU  - Su-Yan Pei
AU  - Tianhong Wang
AU  - Qiang Li
AU  - Guo-Li Wang
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.14897
UR  - https://arxiv.org/abs/2609.14897
AB  - We systematically investigate the Dalitz decays of vector heavy quarkonia into χ_QJ(1P)ℓ^+ℓ^- (Q=c,b; J=0,1,2; ℓ=e,μ) within the instantaneous Bethe--Salpeter framework. The study covers ψ(2S), ψ(1D), Υ(2S), and the so-far unobserved Υ(1D) states. For ψ(2S) electron channels, our predictions are in excellent agreement with BESIII data. We further provide the first relativistic predictions for ψ(1D) decays, with branching ratios for several electron channels reaching the 10^−5 level, which is accessible at current BESIII statistics. For bottomonium, Υ(2S)→χ_bJe^+e^- decays yield branching fractions of 𝒪(10^−4), suggesting potential observability at Belle~II. Muonic channels are also discussed, with kinematic constraints carefully addressed. Our results establish a coherent theoretical basis for future experimental searches for heavy quarkonium Dalitz decays.
ER  -

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