Mathematically Rigorous Proof of Toponium Existence in the TEBAC 9D$^+$ Framework

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Název: Mathematically Rigorous Proof of Toponium Existence in the TEBAC 9D$^+$ Framework
Autoři: Karadzhov, Tosho Lazarov, orcid:0009-0008-1699-
Informace o vydavateli: Zenodo
Rok vydání: 2025
Sbírka: Zenodo
Témata: toponium, heavy quarkonium, QCD, TEBAC 9D+, LHC, spectral analysis, Python code, threshold resonance
Popis: This work presents a mathematically rigorous and phenomenologically grounded analysis of toponium formation based on the novel TEBAC 9D$^+$ framework. We establish necessary and sufficient conditions for the existence of toponium as a quasi-bound state near the top–antitop production threshold. The approach unifies analytic derivations, non-relativistic QCD corrections, and topological effects, and directly confronts theoretical predictions with recent experimental data from the LHC. All key parameter definitions, full numerical results, over 50 scientific illustrations, and the complete Python codebase used in the analysis are included. This resource aims to provide a comprehensive reference for both theoretical developments and future experimental studies on heavy quarkonium systems.
Druh dokumentu: text
Jazyk: English
Relation: https://zenodo.org/records/16762156; oai:zenodo.org:16762156; https://doi.org/10.5281/zenodo.16762156
DOI: 10.5281/zenodo.16762156
Dostupnost: https://doi.org/10.5281/zenodo.16762156
https://zenodo.org/records/16762156
Rights: Creative Commons Attribution 4.0 International ; cc-by-4.0 ; https://creativecommons.org/licenses/by/4.0/legalcode
Přístupové číslo: edsbas.9B968CBA
Databáze: BASE
Popis
Abstrakt:This work presents a mathematically rigorous and phenomenologically grounded analysis of toponium formation based on the novel TEBAC 9D$^+$ framework. We establish necessary and sufficient conditions for the existence of toponium as a quasi-bound state near the top–antitop production threshold. The approach unifies analytic derivations, non-relativistic QCD corrections, and topological effects, and directly confronts theoretical predictions with recent experimental data from the LHC. All key parameter definitions, full numerical results, over 50 scientific illustrations, and the complete Python codebase used in the analysis are included. This resource aims to provide a comprehensive reference for both theoretical developments and future experimental studies on heavy quarkonium systems.
DOI:10.5281/zenodo.16762156