Non-relativistic QCD for heavy quark systems

S. M. Catterall, F. R. Devlin, I. T. Drummond, R. R. Horgan, A. D. Simpson

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Abstract

We employ a non-relativistic version of QCD (NRQCD) to study heavy qq bound states in the lowest approximation without fine structure. We use gluon configurations on a 63×48 lattice at β=6.2 from the UKQCD Collaboration. For a bare quark mass near that of the b-quark (Ma=1.6) we obtain the bound state masses for the S-, P- and both types of D-waves. We also detect signals for two types of hybriges (qqg states). The results are sufficiently accurate to confirm that the values of the D-wave mass from both D-waves coincide thus indicating that the cubical invariance of the lattice is restored to full rotational invariance to a good approximation. We also study S- and P-wave masses for values of the range of bare quark mass Ma=1.0, 1.3, 1.6 and 1.9. The results confirm the idea that the S/P-splitting is relatively insensitive to the value of the bare quark mass.

Original languageEnglish (US)
Pages (from-to)393-399
Number of pages7
JournalPhysics Letters B
Volume300
Issue number4
DOIs
StatePublished - Feb 18 1993

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Catterall, S. M., Devlin, F. R., Drummond, I. T., Horgan, R. R., & Simpson, A. D. (1993). Non-relativistic QCD for heavy quark systems. Physics Letters B, 300(4), 393-399. https://doi.org/10.1016/0370-2693(93)91352-N