https://doi.org/10.1140/epja/s10050-022-00905-5
Regular Article - Theoretical Physics
The chiral Lagrangian with three flavors and large-
sum rules
1
Suranaree University of Technology, 30000, Nakhon Ratchasima, Thailand
2
GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planck Str. 1, 64291, Darmstadt, Germany
b
kobdaj@g.sut.ac.th
c
m.lutz@gsi.de
Received:
2
February
2022
Accepted:
10
December
2022
Published online:
3
January
2023
We 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 (
) 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- 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.
© The Author(s) 2023
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