发表机构
School of Physics and Electronic Technology, Liaoning Normal University; Center for Theoretical and Experimental High Energy Physics, Liaoning Normal University（辽宁师范大学物理与电子科技学院; 辽宁师范大学理论与实验高能物理中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究在重质量展开下，利用瞬时Bethe--Salpeter框架结合复顶夸克极点质量，证实单顶介子关联中径向谱学随宽度增大而弥散，稳定顶本征值无法形成可分辨多峰谱，或留下$\boldsymbol{\textit{Wb\bar q}}$信号。
AI 中文摘要
在重质量展开框架下，包含一个不稳定重组分的系统的极点宽度会继承组分宽度，其修正量级为$\boldsymbol{\textit{O}}(\boldsymbol{\textit{\textbackslash Lambda}}_{\boldsymbol{\textit{kin}}}^{\boldsymbol{\textit{2}}}/\boldsymbol{\textit{m}}_{\boldsymbol{\textit{Q}}}^{\boldsymbol{\textit{2}}})$，而径向分裂仍为$\boldsymbol{\textit{O}}(\boldsymbol{\textit{\textbackslash Lambda}}_{\boldsymbol{\textit{rad}}})$量级，顶夸克是该层级的极端体现。我们在瞬时Bethe--Salpeter框架中引入复顶夸克极点质量，其中双正交Hellmann--Feynman关系在算符层面实现宽度继承，人工重质量扫描证实了预测的$\boldsymbol{\textit{m}}_{\boldsymbol{\textit{Q}}}^{\boldsymbol{\textit{-2}}}$压低效应。低极点源投影响应在$\boldsymbol{\textit{t\bar b}}$、$\boldsymbol{\textit{t\bar c}}$和$\boldsymbol{\textit{t\bar u}}$道中于物理顶宽度处呈现单个宽最大值。完全依赖宽度的非厄米重对角化与直接全矩阵预解式计算证实了小宽度径向极大值的逐步弥散。因此，稳定顶本征值作为参考极点存在，但无法形成可分辨的多峰谱；它们反而可能留下定性的、依赖过程的$\boldsymbol{\textit{Wb\bar q}}$信号，例如宽阈值增强或修正的色流。
英文摘要
Within the heavy-mass expansion, the pole width of a system containing one unstable heavy constituent inherits the constituent width up to $\mathcal O(Λ_{\rm kin}^2/m_Q^2)$ corrections, while radial splittings remain $\mathcal O(Λ_{\rm rad})$. The top quark is an extreme realization of this hierarchy. We implement the complex top pole mass in an instantaneous Bethe--Salpeter framework, where a biorthogonal Hellmann--Feynman relation realizes width inheritance at the operator level and an artificial heavy-mass scan confirms the predicted $m_Q^{-2}$ suppression. The low-pole source-projected response has a single broad maximum at the physical top width in the $t\bar b$, $t\bar c$, and $t\bar u$ channels. Full width-dependent non-Hermitian re-diagonalization and a direct full-matrix resolvent evaluation confirm the progressive dissolution of the small-width radial maxima. Thus stable-top eigenvalues survive as reference poles but not as a resolvable multi-peak spectrum; they may instead leave qualitative, process-dependent $Wb\bar q$ signatures, such as a broad threshold enhancement or modified color flow.
