Radial excited states for heavy quark systems in NRQCD
Nov 15, 199319 pages
Published in:
- Phys.Lett.B 321 (1994) 246-253
e-Print:
- hep-lat/9311006 [hep-lat]
Report number:
- DAMTP-93-42
Experiments:
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Abstract:
Following the Non-Relativistic QCD approach we use a gauge invariant smearing method with factorization to measure the excitation energies for a heavy system on a lattice at . The results come from averaging over an ensemble of 60 QCD configurations. In order to enhance the signal from each configuration we use wall sources for quark propagators. The quark Hamiltonian contains only the simplest non-relativistic kinetic energy term. The results are listed for a range of bare quark masses. The mass splittings are insensitive to this variable though there are a slight trends with increasing quark mass. For an appropriate choice of UV cut-off (Gev) the mass spectrum compares reasonably well with the experimental values for the spin-averaged energy gaps of the system. We also present results for the and waves for the lowest bare quark mass. The results are consistent with degeneracy between the two types of wave. This encourages the idea that even with our simple quark Hamiltonian the departure from rotational invariance is not great.- talk
- fermion: lattice field theory
- gauge field theory: SU(3)
- quark: nonrelativistic
- quarkonium: mass spectrum
- mass spectrum: quarkonium
- upsilon mesons
- energy: excited state
- approximation: quenching
- numerical calculations: Monte Carlo
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