Baryons as Solitons in Effective Chiral Field Theories

Physics – High Energy Physics – High Energy Physics - Phenomenology

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15 pages (RevTeX), 6 uuencoded figures, Lecture presented at the International School of Nuclear Physics, 17th Course: "Quarks

Scientific paper

10.1016/0146-6410(96)00021-X

This lecture comprises some recent developments concerning the description of baryons as topological solitons in effective chiral meson theories. In the first part one-loop corrections to the classical tree approximation are discussed. This involves renormalization of low-energy coupling constants and evaluation of the finite next-to-leading-order terms in the $1/N_c$ expansion. Recent results for various nucleon observables are presented. In the second part electromagnetic nucleon form factors (FFs) with relativistic corrections are evaluated in a chiral soliton model including vector mesons. The magnetic FF $G_M^p$ is shown to agree well with new SLAC data for spacelike $Q^2$ up to 30(GeV/c)$^2$ if superconvergence is enforced. The electric FF $G_E^p$ is dominated by a zero in the few (GeV/c)$^2$ region. The third part describes how to extract the strong $\pi NN$ form factor from chiral soliton models, taking due care of the local metric created by the presence of the soliton. When used in a one-boson-exchange model for the nucleon-nucleon (NN) interaction, deuteron properties and phase parameters of NN scattering are reproduced as well as in conventional NN models that apply a hard monopole form factor at the $\pi NN$ vertex.

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