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 $m_{\pi }$ 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 $\pi N$ sigma commutator, while kaon cloud gives a very small strangeness content in the nucleon.

20 pages (RevTeX), 2 figures (attached)

References in corpus (5)

• Baryons as non-topological chiral solitons
• Chiral Lagrangian for Baryons in the $1/N_c$ Expansion
• SU(3) Breaking Effects in Hyperon Semi-Leptonic Decays and the extraction of F and D
• Baryon masses and pion-nucleon $\sigma$-term to second order in the quark masses
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• Sigma terms from an SU(3) chiral extrapolation
• Leading Quenching Effects in the Proton Magnetic Moment
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• Lattice QCD Calculations of the Sigma Commutator
• Strong contribution to octet baryon mass splittings
• The sigma-term form factor of the nucleon in the large-Nc limit
• Chiral Effective Theory Methods and their Application to the Structure of Hadrons from Lattice QCD
• Quark flavor distribution functions for the octet baryons in the chiral quark constituent model
• Chiral expansion of moments of quark distributions