QCD sum rule analysis of hidden strange 1++ tetraquark masses and radial excitations
Abstract
We revisit the light tetraquark states with quantum numbers JPC=1++ using QCD sum rules, focusing on a complete set of derivative-free diquark-antidiquark interpolating currents. By calculating the operator product expansion up to dimension-eight condensates, we extract the ground-state mass of the hidden-strange usu̅s̅ tetraquark from both Laplace sum rules (LSR) and finite-energy sum rules (FESR). Our combined analysis yields Musu̅s̅ = 1.45±0.11~GeV, which agrees well with the mass of the a1(1420) resonance and supports its tetraquark interpretation. Furthermore, we perform Gaussian sum rule (GSR) analyses to probe radial excitations, adopting a two-resonance narrow-width model. The GSR fit reveals a heavier state with mass m2 = 1.86±0.12~GeV and a relative coupling r = 0.15±0.03 for the lighter state, indicating that the a1(1930) is a promising candidate for a compact 1++ tetraquark. We also discuss the dominant decay modes of these tetraquark candidates, emphasizing hidden-strange channels such as K*K and f0(980)π, which can be tested in future experiments.
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BibTeX
@misc{huang2026rule,
title = {{QCD sum rule analysis of hidden strange $1^++$ tetraquark masses and radial excitations}},
author = {Zhuo-Ran Huang and Wei Chen and Jason Ho and Lei-Hua Liu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.04628},
eprint = {2609.04628},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04628},
}
RIS
TY - UNPB
TI - QCD sum rule analysis of hidden strange 1^++ tetraquark masses and radial excitations
AU - Zhuo-Ran Huang
AU - Wei Chen
AU - Jason Ho
AU - Lei-Hua Liu
PY - 2026
DA - 2026/09/04
PB - arXiv
DO - 10.48550/arxiv.2609.04628
UR - https://arxiv.org/abs/2609.04628
AB - We revisit the light tetraquark states with quantum numbers J^PC=1^++ using QCD sum rules, focusing on a complete set of derivative-free diquark-antidiquark interpolating currents. By calculating the operator product expansion up to dimension-eight condensates, we extract the ground-state mass of the hidden-strange usu̅s̅ tetraquark from both Laplace sum rules (LSR) and finite-energy sum rules (FESR). Our combined analysis yields M_usu̅s̅ = 1.45±0.11~GeV, which agrees well with the mass of the a_1(1420) resonance and supports its tetraquark interpretation. Furthermore, we perform Gaussian sum rule (GSR) analyses to probe radial excitations, adopting a two-resonance narrow-width model. The GSR fit reveals a heavier state with mass m_2 = 1.86±0.12~GeV and a relative coupling r = 0.15±0.03 for the lighter state, indicating that the a_1(1930) is a promising candidate for a compact 1^++ tetraquark. We also discuss the dominant decay modes of these tetraquark candidates, emphasizing hidden-strange channels such as K^*K and f_0(980)π, which can be tested in future experiments.
ER -