Properties of baryons containing a heavy quark in the Skyrme model
| Autor: | Zachary Guralnik, Michael Luke, Aneesh V. Manohar |
|---|---|
| Rok vydání: | 1993 |
| Předmět: |
Coupling constant
Quark Physics Nuclear and High Energy Physics Particle physics Meson 010308 nuclear & particles physics High Energy Physics::Lattice Nuclear Theory High Energy Physics::Phenomenology Quark model FOS: Physical sciences Order (ring theory) 01 natural sciences Baryon High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) Isospin 0103 physical sciences High Energy Physics::Experiment 010306 general physics Nucleon |
| Zdroj: | Nuclear Physics B. 390:474-500 |
| ISSN: | 0550-3213 |
| DOI: | 10.1016/0550-3213(93)90465-2 |
| Popis: | 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. Comment: (28 pages, 0 figures, uses harvmac.tex) |
| Databáze: | OpenAIRE |
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