Symmetries and Systematics of Doubly Heavy Hadrons

TL;DR

This paper explores symmetries relating doubly heavy baryons and mesons, extending superflavor symmetry to excited states, and analyzes their spectra and excitation energies using theoretical models and experimental data.

Contribution

It introduces an extension of superflavor symmetry to excited heavy diquark states and derives implications for hadron spectra and excitation energy scaling.

Findings

Symmetry relates heavy diquarks to doubly heavy mesons.

Derived scaling laws for excitation energies.

Compared theoretical predictions with experimental data.

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.