Symmetries and Systematics of Doubly Heavy Hadrons

Abstract

We discuss the extension of the superflavor symmetry of doubly heavy baryons to states which contain an excited heavy diquark, and we examine some of the consequences of this symmetry for the spectra of doubly heavy baryons and heavy mesons. We explore the ramifications of a proposed symmetry that relates heavy diquarks to doubly heavy mesons. We present a method for determining how the excitation energy of a system containing two heavy quarks will scale as one changes the strength of the interactions and the reduced mass of the system. We use this to derive consequences of the heavy diquark-doubly heavy meson symmetry. We compare these consequences to the results of a quark model as well as the experimental data for doubly and singly heavy mesons. We also discuss the possibility of treating the strange quark as a heavy quark and apply the ideas developed here to strange hadrons.

23 pages, 2 figures, and 17 tables included

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• Mass spectra of ${\Xi }_{cc}$, ${\Xi }_{bc}$, ${\Omega }_{cc}$, and ${\Omega }_{bc}$ baryons in Regge Phenomenology
• Systematic analysis of doubly charmed baryons ${\Xi }_{cc}$ and ${\Omega }_{cc}$
• $b$-hadron spectroscopy study based on the similarity of double bottom baryon and bottom meson
• The mass and residues of radially and orbitally excited doubly heavy baryons in QCD
• Doubly heavy baryon spectra guided by lattice QCD
• Heavy Diquark Symmetry Constraints for Strong Decays
• Mass spectra of bottom-charm baryons
• Mass spectra of double-bottom baryons
• Strong decays of the low-lying doubly bottom baryons
• Beauty Hadron Spectrum in a Screened Potential Model
• Study of the mass spectra of doubly heavy ${\Xi }_{Q{Q}^{\prime }}$ and ${\Omega }_{Q{Q}^{\prime }}$ baryons
• Baryons and baryoniums in the perspective of QCD sum rules
• Spectroscopy and Radiative Decays of ${\Omega }_{ccc}$ and ${\Omega }_{bbb}$ Baryons in a Quark-Diquark Model