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

2025/07/30 by Bubpatate, Chindanai, Vaso,, Dominador F., Samart, Daris
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2507.22830

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 black104 terms. The non-relativistic expansion of the baryon fields has been considered up to the Next-to-Leading Order (NLO) of the three-momentum. We find 28 and 106 Low-Energy Constants (LECs) for Leading Order (LO) and NLO, respectively. Using the Hartree Hamiltonian of the 1/Nc expansion of the operator product up to Next-to-Next-to-Leading Order (NNLO), we can reduce the free parameters (coupling constants) of the ChEFT from 104 down to 53 up to NLO of the three-momentum expansion. Moreover, we will discuss the implications of the large-Nc sum rules in ΩΩ and ΩN scatterings where the future results from lattice QCD can be used to test our sum rules.

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