Properties of Baryons Containing a Heavy Quark in the Skyrme Model

Details Properties of Baryons Containing a Heavy Quark in the Skyrme Model Properties of Baryons Containing a Heavy Quark in the Skyrme Model

1992-08-11

arxiv.org/abs/hep-ph/9208221v1

Nucl.Phys. B390 (1993) 474-500

Physics

High Energy Physics

High Energy Physics - Phenomenology

(28 pages, 0 figures, uses harvmac.tex)

Scientific paper

10.1016/0550-3213(93)90465-2

The properties of baryons containing one heavy quark are studied in the Skyrme model, where they are treated as bound states of a heavy meson with an $SU(2)$ chiral soliton. In the large $N_c$ limit, the baryon spectrum is an infinite tower of degenerate states with isospin and spin of the light degrees of freedom $I=s_\ell=0,1,2,\dots$, and total spin $s=\abs{s_\ell\pm1/2}$. Exotic states with no quark model analogues in the large $N_c$ limit are found to be unbound. The $\Sigma_c-\Lambda_c$ mass difference is computed and found to be in good agreement with experiment. The $\Sigma_c\,\Sigma_c\,\pi$ and $\Sigma_c\,\Lambda_c\,\pi$ coupling constants are calculated to leading order in $N_c$ in terms of $g_A$, the axial coupling constant of the nucleon. We discuss the extension of our results to $SU(3)$ chiral solitons.

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