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PreprintarXiv licencearXiv

Investigation of S-wave tetraquark bound and resonant states with all Jacobi coordinates

Abstract

We systematically explore the S-wave tetraquark systems Qsn̅n̅, QQn̅n̅, QQQ̅Q̅, and sss̅s̅ (Q=c,b; n=u,d) within the constituent quark potential model. We incorporate all K-type Jacobi coordinates in addition to the conventional H-type configurations, optimize the basis expansion via a stochastic parameter generation strategy, and apply the complex scaling method to identify bound and resonant states. Our calculations demonstrate that while conventional H-type configurations suffice for low-lying states such as the Tcc(3875)+ molecular candidate, the inclusion of K-type configurations becomes important for extracting highly excited resonances, allowing higher-energy resonances absent in H-only calculations to be identified. Furthermore, we identify resonance candidates for the Tcs0(2900), X(6900), and X(7200), whereas the absence of fully-strange compact poles below 2.6 GeV challenges the interpretation of ϕ(2170) and X(2370) as S-wave compact s s s̅ s̅ tetraquarks.

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BibTeX
@misc{zheng2026investigation,
  title = {{Investigation of S-wave tetraquark bound and resonant states with all Jacobi coordinates}},
  author = {Xin-He Zheng and Yao Ma and Liang-Zhen Wen and Shi-Lin Zhu},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.28284},
  eprint = {2608.28284},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.28284},
}
RIS
TY  - UNPB
TI  - Investigation of S-wave tetraquark bound and resonant states with all Jacobi coordinates
AU  - Xin-He Zheng
AU  - Yao Ma
AU  - Liang-Zhen Wen
AU  - Shi-Lin Zhu
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.28284
UR  - https://arxiv.org/abs/2608.28284
AB  - We systematically explore the S-wave tetraquark systems Qsn̅n̅, QQn̅n̅, QQQ̅Q̅, and sss̅s̅ (Q=c,b; n=u,d) within the constituent quark potential model. We incorporate all K-type Jacobi coordinates in addition to the conventional H-type configurations, optimize the basis expansion via a stochastic parameter generation strategy, and apply the complex scaling method to identify bound and resonant states. Our calculations demonstrate that while conventional H-type configurations suffice for low-lying states such as the T_cc(3875)^+ molecular candidate, the inclusion of K-type configurations becomes important for extracting highly excited resonances, allowing higher-energy resonances absent in H-only calculations to be identified. Furthermore, we identify resonance candidates for the T_cs0(2900), X(6900), and X(7200), whereas the absence of fully-strange compact poles below 2.6 GeV challenges the interpretation of ϕ(2170) and X(2370) as S-wave compact s s s̅ s̅ tetraquarks.
ER  -