QCD vacuum and baryon masses
Abstract
To study a possible role of the quantum chromodynamics (QCD) vacuum in nuclear and hadron physics, we evaluate a physical quantity in a candidate of the QCD vacuum. In this study we adopt the Copenhagen (spaghetti) picture of the QCD vacuum and calculate the ground-state baryon masses in a constituent quark model. We find that the calculated baryon mass does depend on a parameter that characterizes the Copenhagen picture of the QCD vacuum and satisfies the Gell-Mann-Okubo mass relation for the baryon octet. We also observe that the effective constituent quark mass defined in this study contains a contribution attributed to the Copenhagen vacuum, that is the gluon background field. We then estimate the value of the background gluon field as a function of the up (down) constituent quark mass by using the baryon masses as inputs.
Keywords
Cite
@article{arxiv.2009.02839,
title = {QCD vacuum and baryon masses},
author = {Youngman Kim and Igor A. Mazur and Masayasu Harada and Hyun Kyu Lee},
journal= {arXiv preprint arXiv:2009.02839},
year = {2023}
}
Comments
13 pages, 1 figure