Scalar diquark mass and quark--diquark potential from lattice QCD using the potential method with a static quark
Abstract
We study the scalar diquark mass and the quark--diquark potential by applying a HAL QCD-inspired potential method to a baryonic system composed of a scalar diquark and a static quark. The diquark mass is determined self-consistently by requiring that the p-wave baryonic spectrum obtained from two-point correlators be reproduced within the potential framework. Numerical calculations are performed using 2+1 flavor QCD gauge configurations generated by the PACS-CS Collaboration on a L3 × T = 323 × 64 lattice with a−1 ≈ 2.176 GeV and the pion mass, mπ ≈ 702 MeV. From the analysis, we obtain a scalar diquark mass which is close to the na\"ıve constituent quark estimate $ (2/3)m_{N}$, together with a quark--diquark potential of the Cornell type (Coulomb + linear). The string tension extracted from the quark--diquark potential agrees within approximately 5% with that obtained from the static quark--antiquark potential (Wilson Loop).
Versions
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BibTeX
@misc{kelvinlee2026scalar,
title = {{Scalar diquark mass and quark--diquark potential from lattice QCD using the potential method with a static quark}},
author = {Kai-Wen Kelvin-Lee and Noriyoshi Ishii},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2606.19840},
eprint = {2606.19840},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.19840},
}
RIS
TY - UNPB
TI - Scalar diquark mass and quark--diquark potential from lattice QCD using the potential method with a static quark
AU - Kai-Wen Kelvin-Lee
AU - Noriyoshi Ishii
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2606.19840
UR - https://arxiv.org/abs/2606.19840
AB - We study the scalar diquark mass and the quark--diquark potential by applying a HAL QCD-inspired potential method to a baryonic system composed of a scalar diquark and a static quark. The diquark mass is determined self-consistently by requiring that the p-wave baryonic spectrum obtained from two-point correlators be reproduced within the potential framework. Numerical calculations are performed using 2+1 flavor QCD gauge configurations generated by the PACS-CS Collaboration on a L^3 × T = 32^3 × 64 lattice with a^−1 ≈ 2.176 GeV and the pion mass, m_π ≈ 702 MeV. From the analysis, we obtain a scalar diquark mass which is close to the na\"ıve constituent quark estimate $ (2/3)m_{N}$, together with a quark--diquark potential of the Cornell type (Coulomb + linear). The string tension extracted from the quark--diquark potential agrees within approximately 5% with that obtained from the static quark--antiquark potential (Wilson Loop).
ER -