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Non-relativistic QCD for heavy quark systems

1992/11/16 by S. Catterall, Simon Catterall, F.R. Devlin +7 · 18 citations
Physics and Astronomy · #Bound state #Gluon #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #hep-lat

paper · pdf · doi:10.1016/0370-2693(93)91352-n

published in Physics Letters B 300(4), 393-399 (Elsevier BV) · 13 pages, DAMTP-92-70

arxiv created 1992/11/16 · openalex publication_date 1993/02/01 · arxiv updated 2010/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 163 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.

Citations

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