Hyperfine Mass Splittings of Baryons Containing a Heavy Quark in Large N QCD

Details Hyperfine Mass Splittings of Baryons Containing a Heavy Quark in Large N QCD Hyperfine Mass Splittings of Baryons Containing a Heavy Quark in Large N QCD

1993-07-11

arxiv.org/abs/hep-ph/9307245v1

Phys.Lett.B315:447-451,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

(8 pages, no figures, uses harvmac), UCSD/PTH 93-20

Scientific paper

10.1016/0370-2693(93)91639-5

The hyperfine mass splittings of baryons containing a heavy quark are derived at leading order in large $N$ QCD. Hyperfine splittings either preserve or violate heavy quark spin symmetry. Previous work proves that the splittings which preserve heavy quark spin symmetry are proportional to ${\bf J}^2$ at order $1/N$, where $J$ is the angular momentum of the light degrees of freedom of the baryon. This work proves that the splittings which violate heavy quark spin symmetry are proportional to ${\bf J} \cdot {\bf S_Q}$ at order $1/(N m_Q)$ in the $1/N$ and $1/m_Q$ expansions.

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