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 ${\Xi }_{cc}^{++}$
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• 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

Cited by in corpus (8)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• QCD sum rules analysis of weak decays of doubly heavy baryons: the $b\to c$ processes
• Chiral corrections to the masses of the doubly heavy baryons
• Relations for low-energy coupling constants in baryon chiral perturbation theory derived from the chiral quark model
• Chiral Lagrangians for spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ doubly charmed baryons
• Chiral Lagrangians for singly heavy baryons to $\mathcal{O}(p^4)$ order
• Chiral extrapolation of the doubly charmed baryons magnetic properties
• The effects of polarization on the observables in the decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$