Baryons as Three Flavor Solitons

Abstract

The description of baryons as soliton solutions of effective meson theories for three flavor (up, down, strange) degrees of freedom is reviewed and the phenomenological implications are illuminated. In the collective approach the soliton configuration is equipped with baryon quantum numbers by canonical quantization of the coordinates describing the flavor orientation. The baryon spectrum resulting from exact diagonalization of the collective Hamiltonian is discussed. The prediction of static properties such as the baryon magnetic moments and the Cabibbo matrix elements for semi--leptonic hyperon decays are explored with regard to the influence of flavor symmetry breaking. In particular, the role of strange degrees of freedom in the nucleon is investigated for both the vector and axial--vector current matrix elements. The latter are discussed extensively within in the context of the {\it proton spin puzzle}. The influence of flavor symmetry breaking on the shape of the soliton is examined and observed to cause significant deviations from flavor covariant predictions on the baryon magnetic moments. Short range effects are incorporated by a chiral invariant inclusion of vector meson fields. These extensions are necessary to properly describe the singlet axial--vector current and the neutron proton mass difference. The effects of the vector meson excitations on baryon properties are also considered. The bound state description of hyperons and its generalization to baryons containing a heavy quark are illustrated. In the case of the Skyrme model a comparison is performed between the collective quantization scheme and bound state approach. Finally, the Nambu--Jona--Lasinio model is employed to demonstrate that hyperons can be described as solitons in a microscopic theory of the quark

110 pages, minor corrections, submitted as uuencoded file, to appear in Int. J. Mod. Phys. A

References in corpus (2)

• Effects of Symmetry Breaking on the Strong and Electroweak Interactions of the Vector Nonet
• The Proton Spin Structure in Skyrme Type Models

Cited by in corpus (56)

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• Near Forward pp Elastic Scattering at LHC and Nucleon Structure
• Strangeness Dependence in Radiative Hyperon Decay Amplitudes
• Magnetic Moments of Baryons with a Single Heavy Quark
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• Generalization of the Bound State Model
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• On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2)
• Skyrme model and nonleptonic hyperon decays
• Axial current matrix elements and pentaquark decay widths in chiral soliton models
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• Hyperfine Splitting of Low-Lying Heavy Baryons
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• Hyperon Beta-Decay and Axial Charges of the Lambda in view of Strongly Distorted Baryon Wave-Functions
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• Multibaryons as Symmetric Multiskyrmions
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• Baryon Spectrum in Large N(C) Chiral Soliton and in Quark Models
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• Hidden Structure in a Lagrangian for Hyperfine Splitting of the Heavy Baryons
• Nonleptonic ${\Omega }^{-}$ decays and the Skyrme model
• The exotic baryon mass spectrum and the decuplet-octet and antidecuplet-octet mass difference in the Skyrme model
• Effective Theory Approach to the Skyrme model and Application to Pentaquarks
• Operatorial quantization of Born-Infeld Skyrmion model and hidden symmetries
• Predictiveness of Effective Field Theory in Nuclear Physics
• Modification of hyperon masses in nuclear matter
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• SU(3) Symmetry Breaking and Octet Baryon Polarizabilities
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• Strange results from chiral soliton models
• The Skyrme model predictions for the ${27}_{J=3/2}$ mass spectrum and the ${27}_{3/2}$-$\overline{10}$ mass splittings
• Skyrmions from SU(3) harmonic maps and their quantization
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• CP-violating asymmetry in $\Lambda \to p\pi$ in the Skyrme model
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• Meson photoproduction at threshold in three flavor soliton models
• Flavor Symmetry Breaking and Strangeness in the Nucleon
• Soliton Models for the Nucleon and Predictions for the Nucleon Spin Structure