Quarks, baryons and chiral symmetry / Atsushi Hosaka, Hiroshi Toki.

Includes bibliographical references (pages 373-379) and index.

Print version record.

This volume describes baryon models constructed from quarks, mesons and chiral symmetry. The roles of chiral symmetry and of quark model structure with SU (6) spin-flavour symmetry are discussed in detail, starting from a pedagogic approach. Emphasis is placed on symmetry aspects of the theories. As an application, the chiral bag model is studied for nucleon structure, where important methods of theoretical physics, mostly related to the semiclassical approach for a system of strong interactions, are demonstrated. This text is more practical than formal; tools and ideas are explained in detail, while solving actual problems. By checking each step of the computation, readers can learn not only the calculational techniques, but also the essential ideas behind them. The book should be of interest to advanced graduate students and researchers in high-energy physics.

Ch. 1. Ingredients of the standard model. 1.1. Strong interaction -- QCD. 1.2. Electroweak theory. 1.3. CKM mass matrix -- ch. 2. Symmetries and wave functions. 2.1. Why is symmetry important? 2.2. Symmetry current. 2.3. SU(2). 2.4. SU(3). 2.5. Multi-particle states. 2.6. Product-states. 2.7. Quark model wave functions -- ch. 3. Chiral symmetry. 3.1. Lorentz group and chiral fermions. 3.2. Chiral group. 3.3. Spontaneous breaking of chiral symmetry -- ch. 4. The sigma model. 4.1. Linear sigma model. 4.2. Non-linear sigma model. 4.3. Fermion field -- ch. 5. Chiral bag model. 5.1. The MIT bag model. 5.2. The little bag model. 5.3. The Skyrme model. 5.4. The chiral bag model. 5.5. Chiral casimir effects. 5.6. The edgehog solution -- ch. 6. Nucleon properties. 6.1. Semiclassical method. 6.2. Isospin rotation of the hedgehog solution. 6.3. Axial properties. 6.4. Non-rigid quantization of the skyrmion. 6.5. Electromagnetic properties. 6.6. Chiral bag with vector mesons -- ch. 7. Large-Nc baryons. 7.1. Introduction. 7.2. General counting rules. 7.3. Counting rules for solitons. 7.4. Large-Nc algebra for baryons. 7.5. Finite Nc. 7.6. Other representations and gA -- ch. 8. Excited baryons. 8.1. Systematics in baryon masses. 8.2. Quarks in a deformed oscillator potential. 8.3. Electromagnetic transitions.

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