Abstract
AbstractWe reconsider the chiral Lagrangian with three-flavor baryon fields. A systematic analysis of all low-energy constants (LEC) that contribute to the axial-vector and pseudoscalar currents in the baryon octet and decuplet fields at next-to-leading order in the inverse number of colors ($$1/N_c$$
1
/
N
c
) of QCD is performed. We study the correlation function consisting of axial-vector and scalar currents as well. While there are 4 LEC relevant at leading chiral order, the number of relevant LEC at subleading order is 23. For those a leading order large-$$N_c$$
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.
Funder
Suranaree University of Technology (SUT), Thailand Science Research and Innovation (TSRI) and SUT-CHE-NRU
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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