Heavy Diquark Symmetry Constraints for Strong Decays

TL;DR

This paper explores how Heavy Diquark Symmetry constrains the mass spectra and decay widths of Doubly Heavy Baryons, comparing theoretical models and examining the emergence of symmetries despite explicit symmetry-breaking interactions.

Contribution

It derives symmetry constraints for DHBs and demonstrates their emergence in non-symmetry-designed models, also extending the analysis to strange quarks treated as heavy.

Findings

Heavy Diquark Symmetry constrains DHB properties.

Symmetry constraints emerge even in models with explicit symmetry breaking.

The $^3P_0$ decay model respects HDS under spectator assumptions.

Abstract

The Heavy Diquark Symmetry (HDS) of Doubly Heavy Baryons (DHBs) provides new insights into the spectroscopy of these hadrons. We derive the consequences of this symmetry for the mass spectra and the decay widths of DHBs. We compare these symmetry constraints to results from a nonrelativistic quark model for the mass spectra and results from the $^3P_0$ model for strong decays. The quark model we implement was not constructed with these symmetries and contains interactions which explicitly break HDS. Nevertheless, these symmetries emerge. We argue that the $^3P_0$ model and any other model for strong transitions which employs a spectator assumption explicitly respects HDS. We also explore the possibility of treating the strange quark as a heavy quark and apply these ideas to $\Xi$, $\Xi_c$, and $\Xi_b$ baryons.