Chiral Lagrangians for spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ doubly charmed baryons

Abstract

The relativistic chiral Lagrangians for both spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ doubly charmed baryons are constructed up to the order $\mathcal{O}(p^4)$. From $\mathcal{O}(p^2)$ to $\mathcal{O}(p^4)$, there are 19, 74, and 452 independent terms in the two-flavor case and 25, 112, and 864 independent terms in the three-flavor case. The chiral Lagrangians in the heavy diquark limit are also obtained. From $\mathcal{O}(p^2)$ to $\mathcal{O}(p^4)$, there are 7, 23, and 118 independent terms in the two-flavor case and 8, 31, and 189 independent terms in the three-flavor case. We present the low-energy constant relations between the relativistic case and the case in the heavy diquark limit up to the order $\mathcal{O}(p^3)$. With the heavy diquark-antiquark symmetry, the low-energy constant relations between the doubly charmed baryon case and the heavy-light meson case are also obtained up to the order $\mathcal{O}(p^3)$.

28 pages

References in corpus (25)

• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• Weak Decays of Doubly Heavy Baryons: Multi-body Decay Channels
• Mass spectra and radiative transitions of doubly heavy baryons in a relativized quark model
• Strong and radiative decays of the doubly charmed baryons
• Masses of Light and Heavy Mesons and Baryons: A Unified Picture
• Radiative decays of the doubly charmed baryons in chiral perturbation theory
• Two-body hadronic weak decays of antitriplet charmed baryons
• Decay chain information on the newly discovered double charm baryon state ${\Xi }_{cc}^{++}$
• Magnetic moments of the doubly charmed and bottomed baryons
• Estimates of W-exchange contributions to ${\Xi }_{cc}$ decays
• The masses and axial currents of the doubly charmed baryons
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }q}\to {\Lambda }_{Q^{\prime }}$ Weak Decays
• Analysis of the semileptonic and nonleptonic two-body decays of the double heavy charm baryon states ${\Xi }_{cc}^{++},{\Xi }_{cc}^{+}$ and ${\Omega }_{cc}^{+}$
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }}\to {\Sigma }_{Q^{\prime }}$ Weak Decays
• Novel ideas in nonleptonic decays of double heavy baryons
• Spin-$\frac{3}{2}$ doubly charmed baryon contribution to the magnetic moments of the spin-$\frac{1}{2}$ doubly charmed baryons
• Meson-baryon effective chiral Lagrangians at order $p^4$
• Chiral Lagrangians for mesons with a single heavy quark
• Chiral effective Lagrangian for doubly charmed baryons up to $\mathcal{O}(q^4)$
• Magnetic moments of the spin-$\frac{3}{2}$ doubly charmed baryons in covariant baryon chiral perturbation theory
• Chiral Lagrangians with $\Delta (1232)$ to one loop
• Relations for low-energy constants in baryon chiral perturbation theory with explicit $\Delta (1232)$ derived from the chiral quark model
• Relations for low-energy coupling constants in baryon chiral perturbation theory derived from the chiral quark model