The masses and axial currents of the doubly charmed baryons

Abstract

The chiral dynamics of the doubly heavy baryons is solely governed by the light quark. In this work, We have derived the chiral corrections to the mass of the doubly heavy baryons up to N${}^3$LO. The mass splitting of ${\Xi }_{cc}$ and ${\Omega }_{cc}$ at the N${}^2$LO depends on one unknown low energy constant $c_7$. With the experimental mass of ${\Xi }_{cc}(3520)$ as the input, we estimate the mass of ${\Omega }_{cc}$ to be around 3.678 GeV. Moreover, we have also performed a systematical analysis of the chiral corrections to the axial currents and axial charges of the doubly heavy baryons. The chiral structure and analytical expressions will be very useful to the chiral extrapolations of the future lattice QCD simulations of the doubly heavy baryons.

10 pages, 2 tables, 3 figure. Accepted by Phys. Rev. D

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Cited by in corpus (18)

• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Excited State Mass spectra of doubly heavy baryons ${\Omega }_{cc}$, ${\Omega }_{bb}$ and ${\Omega }_{bc}$
• Implications of Heavy Quark-Diquark Symmetry for Excited Doubly Heavy Baryons and Tetraquarks
• Radiative decays of the doubly charmed baryons in chiral perturbation theory
• Magnetic moments of the doubly charmed and bottomed baryons
• Prediction of exotic doubly charmed baryons within chiral effective field theory
• Establishing low-lying doubly charmed baryons
• Deuteron-like states composed of two doubly charmed baryons
• The Status of ${\Xi }_{cc}^{++}$ Baryon: investigating quark-diquark model
• Search for the doubly charmed baryon ${\Xi }_{cc}^{+}$ in the ${\Xi }_c^{+}{\pi }^{-}{\pi }^{+}$ final state
• Spin-$\frac{3}{2}$ doubly charmed baryon contribution to the magnetic moments of the spin-$\frac{1}{2}$ doubly charmed baryons
• Screening of quark charge and mixing effects on transition moments and M1 decay widths of baryons
• Chiral effective Lagrangian for doubly charmed baryons up to $\mathcal{O}(q^4)$
• Chiral corrections to the masses of the doubly heavy baryons
• Fate of the doubly heavy spin$-3/2$ baryons in a dense medium
• Chiral Lagrangians for spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ doubly charmed baryons
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{+}$ with the LHCb Run 3 detector