发表机构
Hunan Normal University; Institute of High Energy Physics, Chinese Academy of Sciences; University of Chinese Academy of Sciences（湖南师范大学; 中国科学院高能物理研究所; 中国科学院大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究\(N_f = 1\)格点QCD中最低标量胶球与\(s\overline{s}\)介子混合，通过求解广义本征值问题确定本征态质量，提取耦合得出混合角与混合能，表明强混合，为理解实验介子性质提供非微扰输入，后续需研究连续极限等。
AI 中文摘要
我们利用各向异性的\(16^3×128\)格点系综，在格点间距\(a_s≈0.148\,\rm{fm}\)下，研究\(N_f = 1\)格点量子色动力学（QCD）中最低标量胶球与\(s\overline{s}\)介子的混合。通过求解\(J^\text{PC} = 0^{++}\)通道中优化胶球和\(s\overline{s}\)标量算符的广义本征值问题（GEVP），确定两个最低本征态的质量。提取这些质量本征态与胶球和\(s\bar{s}\)算符的耦合，得到混合角\(|\theta| \approx 40.7(2.7)^\circ\)和混合能\(x_s = 239(24)\) MeV。结果表明标量扇区存在强胶球 - \(s\bar{s}\)混合，为理解实验等标量标量介子性质提供重要非微扰输入，未来需研究混合能的连续极限及其夸克质量依赖性。
英文摘要
We investigate the mixing between the lowest-lying scalar glueball and the $s\overline{s}$ meson in $N_f=1$ lattice quantum chromodynamics (QCD) utilizing an anisotropic $16^3 \times 128$ lattice ensemble at a lattice spacing $a_s\approx 0.148\,\rm{fm}$. By solving a generalized eigenvalue problem (GEVP) for the optimized glueball and $s\overline{s}$ scalar operators in the $J^\text{PC} = 0^{++}$ channel, the masses of the two lowest-lying eigenstates are determined to be $m_1 = 1.290(20)\,\mathrm{GeV}$ and $m_2 = 1.777(49)\,\mathrm{GeV}$. By extracting the couplings of these mass eigenstates to the glueball and $s\bar{s}$ operators, we determine a substantial mixing angle $|θ| \approx 40.7(2.7)^\circ$ and a large mixing energy $x_s = 239(24)$ MeV. These results indicate a strong glueball-$s\bar{s}$ 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.
Comments10 pages,3 figures. Corrected the values of $β$ and the number of gauge configurations, and added two references. Minor revisions to the text
