[Submitted on 29 Jan 2018]
Poincaré-covariant analysis of heavy-quark baryons
Si-Xue Qin🇨🇳 · Craig D. Roberts🇺🇸 · Sebastian M. Schmidt🇩🇪
We use a symmetry-preserving truncation of meson and baryon bound-state equations in quantum field theory in order to develop a unified description of systems constituted from light- and heavy-quarks. In particular, we compute the spectrum and leptonic decay constants of ground-state pseudoscalar- and vector-mesons: , , with and ; and the masses of baryons and their first positive-parity excitations, including those containing one or more heavy quarks. This Poincaré-covariant analysis predicts that such baryons have a complicated angular momentum structure. For instance, the ground states are all primarily -wave in character, but each possesses -, - and -wave components, with the -wave fraction being large in the states; and the first positive-parity excitation in each channel has a large -wave component, which grows with increasing current-quark mass, but also exhibits features consistent with a radial excitation. The configuration space extent of all such baryons decreases as the mass of the valence-quark constituents increases.
- Comments:
- 12 pages, 5 figures, 4 tables
- Subjects:
- Nuclear Theory (nucl-th); High Energy Physics — Phenomenology (hep-ph)
- arXiv:
- 1801.09697 [pdf]