The $1/N_c$ Operator Analysis of the Combined Octet and Decuplet Baryons Contact Interactions in SU(3) Chiral Effective Field Theory
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| Format: | Preprint |
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2025
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| author | Bubpatate, Chindanai Vaso, Jr., Dominador F. Samart, Daris |
| author_facet | Bubpatate, Chindanai Vaso, Jr., Dominador F. Samart, Daris |
| contents | 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 $ΩΩ$ and $ΩN$ scatterings, where the future results from lattice QCD can be used to test our sum rules. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_22830 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The $1/N_c$ Operator Analysis of the Combined Octet and Decuplet Baryons Contact Interactions in SU(3) Chiral Effective Field Theory Bubpatate, Chindanai Vaso, Jr., Dominador F. Samart, Daris High Energy Physics - Phenomenology Nuclear Theory 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 $ΩΩ$ and $ΩN$ scatterings, where the future results from lattice QCD can be used to test our sum rules. |
| title | The $1/N_c$ Operator Analysis of the Combined Octet and Decuplet Baryons Contact Interactions in SU(3) Chiral Effective Field Theory |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2507.22830 |