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arXiv · hep-ph/9602312

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

Richard E. Stuckey·Michael C. Birse
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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 $m_π$ 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 $πN$ sigma commutator, while kaon cloud gives a very small strangeness content in the nucleon.

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Richard E. Stuckey, Michael C. Birse. 1996-02-14. Baryon masses in a chiral expansion with meson-baryon form factors. https://doi.org/10.1088/0954-3899%2F23%2F1%2F003

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