Journal Article

GSI-2023-00091

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The chiral Lagrangian with three flavors and large-$N_c$ sum rules

Heo, Y. ; Kobdaj, C. (Corresponding author) ; Lutz, M. (Corresponding author)GSI*

2023
Springer Heidelberg

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Please use a persistent id in citations: doi:10.1140/epja/s10050-022-00905-5  doi:10.15120/GSI-2023-00091

Report No.: arXiv:2201.04319

Abstract: 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 ($N_c$ ) 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_cN 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.

Note: This article is licensed under a Creative Commons Attribution 4.0 International License

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Contributing Institute(s):

1. Hadronenphysik & QCD (QCD)

Research Program(s):

1. 612 - Cosmic Matter in the Laboratory (POF4-612) (POF4-612)
2. DFG project 491382106 - Open-Access-Publikationskosten / 2022-2024 / GSI Helmholtzzentrum für Schwerionenforschung (491382106) (491382106)

Experiment(s):

1. no experiment theory work (theory)

Appears in the scientific report 2023

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