Mixing angle of doubly heavy baryons in QCD

Abstract

We calculate the mixing angles between the spin--1/2, ${\Xi }_{bc}$--${\Xi }_{bc}^{\prime }$ and ${\Omega }_{bc}$--${\Omega }_{bc}^{\prime }$ states of doubly heavy baryons within the QCD sum rules method. It is found that the mixing angles are large and have the values ${\phi }_{{\Xi }_{bc}}=16^0\pm 5^0$ and ${\phi }_{{\Omega }_{bc}}=18^0\pm 6^0$, respectively. The mixing angles are slightly smaller compared to the predictions of the non--relativistic quark model, ${\phi }_{{\Xi }_{bc}}=25.5^0$ and ${\phi }_{{\Omega }_{bc}}=25.9^0$.

6 Pages

References in corpus (6)

• Heavy Baryons in a Quark Model
• Light-cone sum rules for $B\to \pi$ form factors revisited
• Doubly heavy spin--1/2 baryon spectrum in QCD
• Strange quark mass from Finite Energy QCD sum rules to five loops
• Heavy quark symmetry constraints on semileptonic form factors and decay widths of doubly heavy baryons
• Mixing Angle of Hadrons in QCD: A New View

Cited by in corpus (11)

• Mass spectra and radiative transitions of doubly heavy baryons in a relativized quark model
• Establishing low-lying doubly charmed baryons
• Masses and Residues of the Triply Heavy Spin-1/2 Baryons
• A suggested search for doubly charmed baryons of $J^P=3/2^{+}$ via their electromagnetic transitions
• Beautiful mathematics for beauty-full and other multi-heavy hadronic systems
• Strong interaction of doubly heavy spin-3/2 baryons with light vector mesons
• Strong decays of the low-lying doubly bottom baryons
• Fate of the doubly heavy spin$-3/2$ baryons in a dense medium
• Transition properties of Doubly Heavy Baryons
• Strong Vertices of Doubly Heavy Spin-3/2 Baryons with Light Pseudoscalar Mesons
• The effects of polarization on the observables in the decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$