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arXiv · hep-lat/9412050

Precision $Υ$ and $J/Ψ$ spectroscopy with lattice NRQCD

NRQCD collaboration
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Abstract

We present new results on $Υ$ and $J/Ψ$ spectroscopy using Lattice NRQCD. Charmonium results at quenched $β$ = 5.7 show agreement with experiment within understood systematic errors. We compare bottomonium results at quenched $β$s 6.0 and 5.7 and show that the $1P-1S$ splitting scales with $Λ_V$, provided a correction is applied for the $\cal{O}$$(a^{2})$ errors inherent in the gluon field configurations. There is a clear scale difference between charmonium and bottomonium results in the quenched approximation. We compare quenched results at $β$=6.0 for bottomonium with those obtained on HEMCGC configurations at $β$=5.6 using 2 light flavours of dynamical quarks. We show that extrapolations to $n_f$ = 3 are consistent with experiment for the ratio of the $2S-1S$ splitting to that of the $1P-1S$. We extract a value for the $Υ$-$η_b$ splitting extrapolated to $n_f$ = 3.

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NRQCD collaboration. 1994-12-09. Precision $Υ$ and $J/Ψ$ spectroscopy with lattice NRQCD. https://doi.org/10.1016/0920-5632(95)00238-5

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