Charmonium potentials: Matching perturbative and lattice QCD

Abstract

Central and spin-spin potentials for charmonium, constructed from Nambu-Bethe-Salpeter amplitudes in lattice simulations of full QCD, are matched with results from perturbative QCD at an appropriate distance scale. This matching is made possible by defining the perturbative potentials through Fourier transforms with a low-momentum cutoff. The central (spin-independent) potential is compared with potentials derived from an expansion in powers of the inverse quark mass. A well-controlled continuation of the charmonium spin-spin potential from lattice QCD to short distances is performed. The mass splittings of the charmonium singlet and triplet states below the open charm threshold, obtained from the matched spin-spin potential, are in good agreement with the experimental values.

5 pages, 4 figures. v2: published version, minor changes

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Cited by in corpus (11)

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• Potential description of charmonium and charmed-strange mesons from lattice QCD
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• Bethe-Salpeter wave functions of ${\eta }_c(2S)$ and $\psi (2S)$ states from full lattice QCD
• Charmonium spectrum with a Dirac potential model in the momentum space
• The Charmonium Potential at Non-Zero Temperature
• Potential description of the charmonium from lattice QCD
• Renormalized Quarkonium
• Spectra and Decay Properties of Higher Lying $B_C$ Meson States
• Heavy baryons in the large Nc limit