Three-Particle Physics and Dispersion Relation Theory

The necessity of describing three-nucleon and three-quark systems have led to a constant interest in the problem of three particles. The question of including relativistic effects appeared together with the consideration of the decay amplitude in the framework of the dispersion technique. The relativistic dispersion description of amplitudes always takes into account processes connected with the investigated reaction by the unitarity condition or by virtual transitions; in the case of three-particle processes they are, as a rule, those where other many-particle states and resonances are produced. The description of these interconnected reactions and ways of handling them is the main subject of the book.

Contents:

• Introduction
• Elements of Dispersion Relation Technique for Two-Body Scattering Reactions
• Spectral Integral Equation for the Decay of a Spinless Particle
• Non-relativistic Three-Body Amplitude
• Propagators of Spin Particles and Relativistic Spectral Integral Equations
• Isobar Model and Partial Wave Analysis. D-Matrix Method
• Reggeon-Exchange Technique
• Searching for the Quark–Diquark Systematics of Baryons
• Conclusion

Readership: Grudate students and researchers in high energy and particle physics.
Key Features:

• Provides a rather complete description of the dispersion relation approach
• Interconnects different fields to which this technique can be applied
• Gives an interpretation of recent experimental data