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复能平面中的顶夸克偶素谱

Toponium Spectrum in the Complex-Energy Plane

Zhanduo Tang, Oliver Fast, Ralf Rapp

arXiv 2607.14554首次发表:更新:

AI 中文总结

研究顶夸克和反顶夸克能否形成束缚态的问题,采用带康奈尔势的T矩阵方法,通过改变顶夸克宽度并进行复能分析,研究顶夸克偶素系统性质及禁闭力对T矩阵的影响。

AI 中文摘要

顶夸克约2GeV的电弱衰变宽度与顶夸克偶素系统预期的结合能相当,引发了顶夸克和反顶夸克能否形成有意义束缚态的长期问题。近期CMS和ATLAS在LHC的pp碰撞中发现t-tbar阈值附近截面增强,再次引发此问题。本文采用具有潜在康奈尔势的T矩阵方法,通过改变中间传播子中的顶夸克宽度来研究顶夸克偶素系统的性质。特别地,对T矩阵进行复能分析,以评估其极点(作为束缚态形成的严格标准)如何从小宽度极限发展到实际宽度。还重新审视了势中禁闭力对顶夸克偶素T矩阵的影响。

英文摘要

The electroweak decay width of the top quark of ~2 GeV is comparable to binding energies expected for the toponium system, raising the long-standing question of whether top and antitop quarks can sustain meaningful bound states. This issue has been been reignited by recent discoveries of a cross section enhancement near the t-tbar threshold by the CMS and ATLAS collaborations in pp collisions at the LHC. Here, we deploy a T-matrix approach with an underlying Cornell potential to study the properties of the toponium system by varying the top-quark widths in the intermediate propagators. In particular, we carry out a complex-energy analysis of the T-matrix to assess how its poles, as a rigorous criterion for bound-state formation, develop from the limit of small widths to realistic ones. We also revisit the impact of the confining force in the potential on the toponium T-matrix.

Comments5 pages, 5 figures

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