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arXiv · 2507.22830

The $1/N_c$ Operator Analysis of the Combined Octet and Decuplet Baryons Contact Interactions in SU(3) Chiral Effective Field Theory

Chindanai Bubpatate·Dominador F. Vaso, Jr.·Daris Samart
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Abstract

In this work, we construct the non-derivative four-point interactions for Octet and Decuplet baryons in the SU(3) Chiral Effective Field Theory (ChEFT) framework, and there are 104 coupling constant terms. The non-relativistic expansion of the baryon fields has been considered up to the Next-to-Leading Order (NLO) of the three-momentum expansion. We find 28 and 106 Low-Energy Constants (LECs) for Leading Order (LO) and NLO, respectively. Using the Hartree Hamiltonian of the $1/N_c$ expansion of the operator product up to Next-to-Next-to-Leading Order (NNLO), we can reduce the free parameters (LECs) of the ChEFT from 134 down to 24 up to NLO of the three-momentum expansion. Moreover, we will discuss the implications of the $1/N_c$ sum rules in $\Omega\Omega$ and $\Omega N$ scatterings, where the future results from lattice QCD can be used to test our sum rules.

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Chindanai Bubpatate, Dominador F. Vaso, Jr., Daris Samart. 2025-07-30. The $1/N_c$ Operator Analysis of the Combined Octet and Decuplet Baryons Contact Interactions in SU(3) Chiral Effective Field Theory. https://arxiv.org/abs/2507.22830

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