English

Toponium: the smallest bound state and simplest hadron in quantum mechanics

High Energy Physics - Phenomenology 2025-06-24 v3 High Energy Physics - Experiment

Abstract

We explore toponium, the smallest known quantum bound state of a top quark and its antiparticle, bound by the strong force. With a Bohr radius of 8×10188\times 10^{-18}~m and a lifetime of 2.5×10252.5 \times 10^{-25}~s, toponium uniquely probes microphysics. Unlike all other hadrons, it is governed by ultraviolet freedom. This distinction offers novel insights into quantum chromodynamics. Our analysis reveals a toponium signal exceeding 5σ5\sigma in the distribution of the cross section ratio between e+ebbˉe^+e^- \rightarrow b\bar{b} and e+eqqˉe^+e^- \rightarrow q\bar{q} (q=b,c,s,d,uq=b,c,s,d,u), based on 400~fb1^{-1} of data collected at s341 GeV\sqrt{s}\approx 341~{\rm GeV}. This discovery enables a top quark mass measurement with an uncertainty reduced by a factor of ten compared to current precision levels. Moreover, this method improves the systematic uncertainty by at least a factor of 2.7 compared to any other possible methods.

Keywords

Cite

@article{arxiv.2412.11254,
  title  = {Toponium: the smallest bound state and simplest hadron in quantum mechanics},
  author = {Jing-Hang Fu and Yu-Ji Li and Hui-Min Yang and Yu-Bo Li and Yu-Jie Zhang and Cheng-Ping Shen},
  journal= {arXiv preprint arXiv:2412.11254},
  year   = {2025}
}

Comments

8 pages, 2 pages; accepted for publication as a Regular Article in Physical Review D