The chiral Lagrangian with three flavors and large-Nc sum rules

Abstract

We reconsider the chiral Lagrangian with three-flavor baryon fields. A systematic analysis of all LEC that contribute to the axial-vector and pseudoscalar currents in the baryon octet and decuplet fields at next-to-leading order is performed. While there are 4 LEC relevant at leading order, the number of relevant LEC at subleading chiral order is 23. For those a leading order large-$N_c$ analysis predicts 3 and 18 sum rules respectively. At the next accuracy level the number of sum rules is reduced to 2 and 8. Our results are illustrated by a tree-level analysis of available axial-vector coupling constants and strong decay widths of the baryon decuplet states.

22 pages

References in corpus (7)

• Ab-initio Determination of Light Hadron Masses
• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• On the chiral effective meson-baryon Lagrangian at third order
• Large-N_c operator analysis of 2-body meson-baryon counterterms in the chiral Lagrangian
• Axial-vector form factors of the baryon octet and chiral symmetry
• Low-energy axial-vector transitions from decuplet to octet baryons

Cited by in corpus (3)

• Low-energy constants in the chiral Lagrangian with baryon octet and decuplet fields from Lattice QCD data on CLS ensembles
• The Baryon-Baryon Interaction in the Large-$N_c$ Limit
• The axial-vector form factor of the nucleon in a finite box