English

Baryon masses in a chiral expansion with meson-baryon form factors

High Energy Physics - Phenomenology 2008-11-26 v1

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 mπm_\pi 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 πN\pi N 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)