Combined large-$N_c$ and heavy-quark operator analysis of 2-body meson-baryon counterterms in the chiral Lagrangian with charmed mesons

Abstract

The chiral SU(3) Lagrangian with pseudoscalar and vector $D$ mesons and with the octet and decuplet baryons is considered. The leading two-body counter terms involving two baryon fields and two $D$ meson fields are constructed in the open-charm sector. There are 26 terms. A combined expansion in the inverse of the charm quark mass and in the inverse of the number of colors provides sum rules that reduce the number of free parameter down to 5 only. Our result shows the feasibility of a systematic computation of the open-charm baryon spectrum based on coupled-channel dynamics.

19 pages

References in corpus (6)

• The s-wave charmed baryon resonances from a coupled-channel approach with heavy quark symmetry
• Radiative and isospin-violating decays of Ds mesons in the hadrogenesis conjecture
• Subleading contributions to the width of the D_{s0}*(2317)
• Dynamically generated open charmed baryons beyond the zero range approximation
• Exotic dynamically generated baryons with negative charm quantum number
• Large-N_c operator analysis of 2-body meson-baryon counterterms in the chiral Lagrangian

Cited by in corpus (8)

• Reconciling threshold and subthreshold expansions for pion-nucleon scattering
• On the convergence of the chiral expansion for the baryon ground-state masses
• Chiral Perturbation Theory and the $\bar{B}\bar{B}$ Strong Interaction
• Combined large-N_c and heavy-quark operator analysis for the chiral Lagrangian with charmed baryons
• On kinematical constraints in the hadrogenesis conjecture for the baryon resonance spectrum
• Large-$N_c$ operator analysis of hyperon-nucleon interactions in SU(3) chiral effective field theory
• Large-N_c sum rules for charmed baryons at subleading orders
• Combined heavy-quark symmetry and large-$N_c$ operator analysis for 2-body counterterms in the chiral Lagrangian with $D$ mesons and charmed baryons