Non-Relativistic QCD for Heavy Quark Systems

Details Non-Relativistic QCD for Heavy Quark Systems Non-Relativistic QCD for Heavy Quark Systems

1992-11-12

arxiv.org/abs/hep-lat/9211033v2

Phys.Lett.B300:393-399,1993

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, DAMTP-92-70

Scientific paper

10.1016/0370-2693(93)91352-N

We employ a nonrelativistic version of QCD (NRQCD) to study heavy quark-antiquark bound states in the lowest approximation without fine structure. We use gluon configurations on a 16^3 by 48 lattice at beta=6.2 from the UKQCD collaboration. For quark masses in the vicinity of the b we obtain bound state masses for S, P and both types of D wave. We also detect signals for two types of hybrids (quark,antiquark,gluon states). The results are sufficiently accurate to confirm that the values of the D wave mass from both lattice D waves coincide indicating that the cubical invariance of the lattice is restored to full rotational invariance at large distance. Our results also show that the S-P splitting is indeed insensitive to variations in the bare quark mass from Ma=1.0 to Ma=1.9.

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