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Mass spectra and wave functions of toponia
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abstract
In this article, {we solve the instantaneous Bethe-Salpeter equation with Cornell potential and Coulomb potential} and conduct a meticulous study of the mass spectrum and wave function of toponium. Our investigation reveals that, owing to the exceedingly heavy mass of the top quark, the mass splitting between singlet and triplet states, as well as within the triplet states, is negligible. Consequently, relativistic corrections can be safely disregarded in the study of toponium. As such, we present the nonrelativistic wave functions for $S$-wave, $P$-wave, and $D$-wave toponia and study the decays $\eta_t\to \gamma\gamma$, $\eta_t\to gg$, and $\Theta\to \ell^+\ell^-$.
Forward citations
Cited by 4 Pith papers
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Topped baryons from QCD sum rules
QCD sum rules in HQET predict ground-state singly topped baryon masses near 174 GeV, some 1.1-1.5 GeV above the top quark pole mass.
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Toponium Spectrum in the Complex-Energy Plane
Toponium's T-matrix poles survive at realistic top width, supporting a quasi-bound-state interpretation despite the spectrum appearing as a single broad peak.
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Phenomenology of Hypothetical Single-Top Hadronic States
QCD sum-rule calculations yield single-top baryon and meson masses near the top-quark mass, with a few channels slightly below the naive quark-sum threshold.
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Examining possible doubly topped baryon configurations
QCD sum rules give doubly topped baryon masses of 345-350 GeV, essentially the sums of the constituent quark masses, with no sign of genuine binding.
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