Chiral effective Lagrangian for doubly charmed baryons up to $\mathcal{O}(q^4)$

Abstract

The chiral effective meson-baryon Lagrangian for the description of interactions between the doubly charmed baryons and Goldstone bosons is constructed up to the order of $q^4$. The numbers of linearly independent invariant monomials of $\mathcal{O}(q^2)$, $\mathcal{O}(q^3)$ and $\mathcal{O}(q^4)$ are 8, 32 and 218, in order. The obtained Lagrangian can be used to study the chiral dynamics and relevant phenomenology of the doubly charmed baryons at complete one-loop level in future. For completeness, the non-relativistic reduction of the Lagrangian is also discussed.

27 pages, 5 tables. Version published in PRD

References in corpus (15)

• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Chiral Perturbation Theory and Baryon Properties
• Charmed bottom baryon spectroscopy from lattice QCD
• 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
• Strong and radiative decays of the doubly charmed baryons
• Radiative decays of the doubly charmed baryons in chiral perturbation theory
• Magnetic moments of the doubly charmed and bottomed baryons
• Isospin splittings of doubly heavy baryons
• Prediction of exotic doubly charmed baryons within chiral effective field theory
• The masses and axial currents of the doubly charmed baryons
• Meson-baryon effective chiral Lagrangians at order $p^4$
• Chiral Lagrangians for mesons with a single heavy quark