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

1997; IOP Publishing; Volume: 23; Issue: 1 Linguagem: Inglês

10.1088/0954-3899/23/1/003

1361-6471

Richard E. Stuckey, Michael C. Birse,

Black Holes and Theoretical Physics

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. 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 makes a significant contribution to the sigma commutator, while the kaon cloud gives a very small strangeness content in the nucleon.