Baryon masses in a chiral expansion with meson-baryon form factors
Abstract
The chiral expansion of the one-loop corrections to baryon masses is examined in a generic meson-cloud model with meson-baryon form factors. For pion loops, the expansion is rapidly convergent and at fourth order in accurately reproduces the full integral. In contrast, the expansion is found to converge very slowly for kaon loops, raising questions about the usefulness of chiral expansions for kaon-baryon physics. Despite the importance of high-order terms, relations like that of Gell-Mann and Okubo are well satisfied by the baryon masses calculated with the full integral. The pion cloud cloud makes a significant contribution to the sigma commutator, while kaon cloud gives a very small strangeness content in the nucleon.
Keywords
Cite
@article{arxiv.hep-ph/9602312,
title = {Baryon masses in a chiral expansion with meson-baryon form factors},
author = {Richard E. Stuckey and Michael C. Birse},
journal= {arXiv preprint arXiv:hep-ph/9602312},
year = {2008}
}
Comments
20 pages (RevTeX), 2 figures (attached)