AI 中文总结
运用超对称量子力学因式分解方法研究顶夸克偶素，确定其质量、结合能等，研究衰变特性发现双胶子模式主导，还考察了空间特性，给出了相关质量、衰变宽度及半径范围等重要结果。
AI 中文摘要
超对称量子力学（SUSY QM）因式分解方法被应用于研究顶夸克偶素（\(t\bar{t}\)）这一最重的夸克偶素系统中的康奈尔势。该方法成功用于确定质量、结合能和自旋相关超精细分裂，得到赝标量（\(\eta_t\)）和矢量（\(\Theta_t\)）态质量分别为344.114 GeV和344.141 GeV。通过各自的衰变宽度研究了赝标量和矢量态的衰变特性，强调了束缚态波函数的关键作用。在衰变通道中，双胶子（\(\eta_t\rightarrow gg\)）模式占主导，估计衰变宽度为2.57 MeV。此外，通过评估平均半径、均方根（RMS）半径和最可能半径研究了顶夸克偶素的空间特性，它们都在0.015 - 0.025 fm范围内。
英文摘要
The Supersymmetric quantum mechanics (SUSY QM) factorization method is applied to study the Cornell potential in the context of toponium $(t\bar{t})$, the heaviest quarkonium system. The method is successfully applied to determine the mass, binding energy, and spin-dependent hyperfine splitting, giving pseudoscalar $(η_t)$ and vector $(Θ_t)$ state masses of 344.114 GeV and 344.141 GeV, respectively. The decay properties of both the pseudoscalar and vector states are also investigated through their respective decay widths, highlighting the crucial role of the bound-state wavefunction. Among the decay channels, the di-gluonic $(η_t\rightarrow gg)$ mode is found to be dominant, with an estimated decay width of 2.57 MeV. In addition, the spatial characteristics of toponium are examined by evaluating the mean radius, root-mean-square (RMS) radius, and most probable radius, all of which are found to lie within the range of $0.015\text{--}0.025\,\mathrm{fm}$.
Comments9 Pages, 12 Figures, 3 Tables
