dorsal/arxiv
View SchemaDiquark mass and quark-diquark potential by lattice QCD using an extended HAL QCD method with a static quark
| Authors | Kai-Wen Kelvin-Lee, Noriyoshi Ishii |
|---|---|
| Categories | |
| ArXiv ID | 2601.10091vv1 |
| URL | https://arxiv.org/abs/2601.10091 |
| DOI | 10.22323/1.500.0113 |
| License | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
Abstract
We will calculate the diquark mass together with the quark-diquark potential. We apply an extended HAL QCD potential method to a baryonic system made up from a static quark and a diquark. Numerical calculations are performed by employing 2+1 flavor QCD gaugeconfigurations generated by CP-PACS and JLQCD Collaborations on a $16^{3} \times 32$ lattice with $a^{-1} \approx 1.6$ GeV. To improve the statistical noise in the propagators of the static quark, the HYP smearing is employed on the gauge links. Two-point correlators of quark-diquark baryonic system are then computed to obtain their ground-state energies where various types of diquarks are considered (eg: scalar diquark, axial-vector diquark etc). We apply an extended HAL QCD method on a baryonic system made up from a scalar diquark and a static quark to study the scalar diquark mass and the quark-diquark potential. In order to determine the diquark mass self-consistently in this HALQCD method, we demand that the baryonic spectrum in the p-wave sector obtained from the two-point correlators should be reproduced by the potential obtained from the baryonic system in the s-wave sector. We obtain the scalar diquark mass of roughly $(2/3) m_{N}$ , i.e., twice the na\"ive estimates of a constituent quark mass together with the quark-diquark potential of Cornell type (Coulomb + linear).
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"abstract": "We will calculate the diquark mass together with the quark-diquark potential. We apply an extended HAL QCD potential method to a baryonic system made up from a static quark and a diquark. Numerical calculations are performed by employing 2+1 flavor QCD gaugeconfigurations generated by CP-PACS and JLQCD Collaborations on a $16^{3} \\times 32$ lattice with $a^{-1} \\approx 1.6$ GeV. To improve the statistical noise in the propagators of the static quark, the HYP smearing is employed on the gauge links. Two-point correlators of quark-diquark baryonic system are then computed to obtain their ground-state energies where various types of diquarks are considered (eg: scalar diquark, axial-vector diquark etc). We apply an extended HAL QCD method on a baryonic system made up from a scalar diquark and a static quark to study the scalar diquark mass and the quark-diquark potential. In order to determine the diquark mass self-consistently in this HALQCD method, we demand that the baryonic spectrum in the p-wave sector obtained from the two-point correlators should be reproduced by the potential obtained from the baryonic system in the s-wave sector. We obtain the scalar diquark mass of roughly $(2/3) m_{N}$ , i.e., twice the na\\\"ive estimates of a constituent quark mass together with the quark-diquark potential of Cornell type (Coulomb + linear).",
"arxiv_id": "2601.10091",
"authors": [
"Kai-Wen Kelvin-Lee",
"Noriyoshi Ishii"
],
"categories": [
"hep-lat"
],
"doi": "10.22323/1.500.0113",
"license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
"title": "Diquark mass and quark-diquark potential by lattice QCD using an extended HAL QCD method with a static quark",
"url": "https://arxiv.org/abs/2601.10091",
"version": "v1"
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