Scalar glueball-ss̅ mixing in one flavor lattice QCD
Abstract
We investigate the mixing between the lowest-lying scalar glueball and the ss̅ meson in Nf=1 lattice quantum chromodynamics (QCD) utilizing an anisotropic 163 × 128 lattice ensemble at a lattice spacing as≈ 0.148 fm. By solving a generalized eigenvalue problem (GEVP) for the optimized glueball and ss̅ scalar operators in the JPC = 0++ channel, the masses of the two lowest-lying eigenstates are determined to be m1 = 1.290(20) GeV and m2 = 1.777(49) GeV. By extracting the couplings of these mass eigenstates to the glueball and ss̅ operators, we determine a substantial mixing angle |θ| ≈ 40.7(2.7)∘ and a large mixing energy xs = 239(24) MeV. These results indicate a strong glueball-ss̅ mixing in the scalar sector, providing important non-perturbative inputs for understanding the nature of the experimental isoscalar scalar mesons. The continuum limit of the mixing energy and its quark mass dependence need to be investigated in the future.
Related
- Progress on meson-glueball mixing in lattice gauge theories coupled to fermions in multiple representations
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- Probing lepton flavor mixing in WR searches with machine learning at the LHC
- An Exact Geometric Framework for Flavor Mixing and CP Violation in the Standard Model
BibTeX
@misc{gui2026scalar,
title = {{Scalar glueball-$s\bars$ mixing in one flavor lattice QCD}},
author = {Long-Cheng Gui and Wei Sun and Ying Chen and Ming Gong and Geng Li and Zhaofeng Liu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.17294},
eprint = {2607.17294},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.17294},
}
RIS
TY - UNPB
TI - Scalar glueball-ss̅ mixing in one flavor lattice QCD
AU - Long-Cheng Gui
AU - Wei Sun
AU - Ying Chen
AU - Ming Gong
AU - Geng Li
AU - Zhaofeng Liu
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2607.17294
UR - https://arxiv.org/abs/2607.17294
AB - We investigate the mixing between the lowest-lying scalar glueball and the ss̅ meson in N_f=1 lattice quantum chromodynamics (QCD) utilizing an anisotropic 16^3 × 128 lattice ensemble at a lattice spacing a_s≈ 0.148 fm. By solving a generalized eigenvalue problem (GEVP) for the optimized glueball and ss̅ scalar operators in the J^PC = 0^++ channel, the masses of the two lowest-lying eigenstates are determined to be m_1 = 1.290(20) GeV and m_2 = 1.777(49) GeV. By extracting the couplings of these mass eigenstates to the glueball and ss̅ operators, we determine a substantial mixing angle |θ| ≈ 40.7(2.7)^∘ and a large mixing energy x_s = 239(24) MeV. These results indicate a strong glueball-ss̅ mixing in the scalar sector, providing important non-perturbative inputs for understanding the nature of the experimental isoscalar scalar mesons. The continuum limit of the mixing energy and its quark mass dependence need to be investigated in the future.
ER -