SU(3) Predictions for Weak Decays of Doubly Heavy Baryons -- including SU(3) breaking terms

Abstract

We find expressions for the weak decay amplitudes of baryons containing two b quarks (or one b and one c quark -- many relationship are the same) in terms of unknown reduced matrix elements. This project was originally motivated by the request of the FNAL Run II b Physics Workshop organizers for a guide to experimentalists in their search for as yet unobserved hadrons. We include an analysis of linear SU(3) breaking terms in addition to relationships generated by unbroken SU(3) symmetry, and relate these to expressions in terms of the complete set of possible reduced matrix elements.

49 pages

References in corpus (4)

• First Observation of the Doubly Charmed Baryon Xi_cc^+
• Mass spectra of doubly heavy baryons in the relativistic quark model
• Baryons with two heavy quarks
• Mass spectra of doubly heavy Omega_QQ' baryons

Cited by in corpus (13)

• Baryons with two heavy quarks: Masses, production, decays, and detection
• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• Doubly charmed baryon production in heavy ion collisions
• Weak Decays of Doubly Heavy Baryons: ${\mathcal{B}}_{cc}\to {\mathcal{B}}_{c}V$
• U-Spin Sum Rules for CP Asymmetries of Three-Body Charmed Baryon Decays
• Rescattering mechanism of weak decays of double-charm baryons
• SU(3)${}_F$ Analysis for Beauty Baryon Decays
• Non-leptonic beauty baryon decays and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• Beauty baryon non-leptonic decays into decuplet baryons and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• Studying Two-body Nonleptonic Weak Decays of Hyperons with Topological Diagram Approach
• Weak decays of bottom-charm baryons: ${\mathcal{B}}_{bc}\to {\mathcal{B}}_{b}P$
• Possibility of Measuring the CP-Violation gamma-parameter in Decays of Xi_bc Baryons