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 -