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 $\mathcal{O}(p^3)$.

arXiv comment28 pages

References in corpus (63)

• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• First Observation of the Doubly Charmed Baryon Xi_cc^+
• A review of the open charm and open bottom systems
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• The Mesonic Chiral Lagrangian of Order $p^6$
• Observation of New States Decaying into ${\Lambda }_c^{+}{K}^{-}{\pi }^{+}$ and ${\Lambda }_c^{+}{K}_S^0{\pi }^{-}$
• The chiral effective pion-nucleon Lagrangian of order p^4
• Extension of the Chiral Perturbation Theory Meson Lagrangian to Order $P^6$
• Search for Doubly Charmed Baryons Xi_cc^+ and Xi_cc^++ in BABAR
• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• The anomalous chiral Lagrangian of order $p^6$
• Weak Decays of Doubly Heavy Baryons: Multi-body Decay Channels
• Weak Decays of Heavy Baryons in Light-Front Approach
• Mass spectra and radiative transitions of doubly heavy baryons in a relativized quark model
• Search for the doubly charmed baryon Xi_cc^+
• Strong and radiative decays of the doubly charmed baryons
• Meson-Baryon Effective Chiral Lagrangians to O(q^3)
• Charmed Baryon Weak Decays with SU(3) Flavor Symmetry
• Masses of Light and Heavy Mesons and Baryons: A Unified Picture
• Radiative decays of the doubly charmed baryons in chiral perturbation theory
• Chiral Perturbation Theory with tensor sources
• Weak decays of doubly heavy baryons: the $1/2\to 3/2$ case
• Masses of doubly heavy-quark baryons in an extended chromomagnetic model
• Two-body hadronic weak decays of antitriplet charmed baryons
• Magnetic moments of the doubly charmed and bottomed baryons
• Decay chain information on the newly discovered double charm baryon state ${\Xi }_{cc}^{++}$
• Lattice QCD study of doubly-charmed strange baryons
• Weak decays of doubly heavy baryons: the FCNC processes
• Estimates of W-exchange contributions to ${\Xi }_{cc}$ decays
• Weak decays of doubly heavy baryons: "decay constants"
• 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
• Magnetic moments of the spin-1/2 doubly charmed baryons in covariant baryon chiral perturbation theory
• A comprehensive analysis of weak transition form factors for doubly heavy baryons in the light front approach
• Masses of doubly heavy baryons in the Bethe-Salpeter equation approach
• Radiative transitions of doubly charmed baryons in lattice QCD
• Masses and sigma terms of doubly charmed baryons up to $\mathcal{O}(p^4)$ in manifestly Lorentz-invariant baryon chiral perturbation theory
• Magnetic moments of the spin-$\frac{3}{2}$ doubly heavy baryons
• Analysis of the semileptonic and nonleptonic two-body decays of the double heavy charm baryon states ${\Xi }_{cc}^{++},{\Xi }_{cc}^{+}$ and ${\Omega }_{cc}^{+}$
• Masses of doubly charmed baryons in the extended on-mass-shell renormalization scheme
• Magnetic moments of doubly heavy baryons in light-cone QCD
• Weak Decays of Doubly Heavy Baryons: W-Exchange
• Rescattering mechanism of weak decays of double-charm baryons
• New spectrum of negative-parity doubly charmed baryons: Possibility of two quasistable states
• The mass spectra and wave functions for the doubly heavy baryons with $J^P=1^{+}$ heavy diquark core
• Electromagnetic form factors of spin 1/2 doubly charmed baryons
• Strange baryons with two heavy quarks
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }}\to {\Sigma }_{Q^{\prime }}$ Weak Decays
• Quark-diquark structure and masses of doubly charmed baryons
• Light pseudoscalar meson and doubly charmed baryon scattering lengths with heavy diquark-antiquark symmetry
• Novel ideas in nonleptonic decays of double heavy baryons
• NLO Effects for Doubly Heavy Baryon in QCD Sum Rules
• 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 $p^4$
• Full pseudoscalar mesonic chiral Lagrangian at p6 order under the unitary group
• 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
• Doubly charmed baryon mass and wave function through a random walks method