Toponium: the smallest bound state and simplest hadron in quantum mechanics
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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 $8\times 10^{-18}$~m and a lifetime of $2.5 \times 10^{-25}$~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 $5\sigma$ in the distribution of the cross section ratio between $e^+e^- \rightarrow b\bar{b}$ and $e^+e^- \rightarrow q\bar{q}$ ($q=b,c,s,d,u$), based on 400~fb$^{-1}$ of data collected at $\sqrt{s}\approx 341~{\rm GeV}$. 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.
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Cited by 2 Pith papers
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Phenomenology of Hypothetical Single-Top Hadronic States
QCD sum rule calculations produce ground-state masses for single-top baryons like Lambda_t and mesons like T_t b-bar, with several central values slightly below constituent quark mass sums suggesting possible weak bin...
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Masses of Purely Top-Quark Bound States: Toponium and the Triply-Top Baryon
QCD sum-rule calculations give negative binding energies for toponium states consistent with near-threshold experimental signals and a central mass for the triply-top baryon slightly above three times the top-quark mass.
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