Modern Three-Hadron Physics
Título:
Modern Three-Hadron Physics
ISBN:
9783642810701
Edición:
1st ed. 1977.
PRODUCTION_INFO:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1977.
Descripción física:
XII, 252 p. online resource.
Serie:
Topics in Current Physics ; 2
Contenido:
1. Fundamentals of Three-Body Scattering Theory -- 1.1 Two-Body Scattering -- 1.2 The Simplest Three-Body Problem -- 1.3 Three Distinguishable Particles - Wave Function Approach -- 1.4 The Faddeev Equations (3?3) -- 1.5 Bound State Scattering -- 1.6 Unitarity -- 1.7 Identical Particles -- 1.8 Three-Body Scattering With Separable Interactions -- 1.9 Rotationally Invariant Equations for Separable Interactions -- 1.10 Conclusion -- References -- 2. Analytic Structure of On-Shell Three-Body Amplitudes -- 2.1 Background -- 2.2 The Fredholm Representation of On-Shell Amplitudes -- 2.3 Analytic Continuation in Energy of the On-Shell Amplitudes -- 2.4 On-Shell Calculations -- 2.5 Conclusions -- Appendi x -- References -- 3. Theory of Three-Body Final States -- 3.1 The Problem -- 3.2 Coherence -- 3.3 The Two-Body Case -- 3.4 The Three-Body Case -- 3.5 Spinless Boson Example -- 3.6 Implementing Unitarity and Analyticity -- 3.7 Three Identical Bosons Again -- 3.8 Conclusions -- References -- 4. The Boundary Condition Method -- 4.1 Fundamentals -- 4.2 Two-Particle Description -- 4.3 Boundary Conditions for Three-Particle Scattering -- 4.4 The BCF Integral Equation -- 4.5 Practical Evaluation of the Kernel -- 4.6 The Interior Region -- 4.7 Summary of the Formal Work -- 4.8 An Example -- 4.9 Discussion -- References -- 5. A Relativistic Three-Body Theory -- 5.1 Derivation of the Basic Equations - Spinless Case -- 5.2 Spin and Isospin -- 5.3 Physical Input: Blankenbecler-Sugar vs. Feynman, etc -- 5.4 Application of Relativistic Three-Body Formalism -- 5.5 Present Developments - Three-Body Phenomenology -- Appendix A -- Appendix B -- References -- 6. Applications of Three-Body Methods to Many-Body Hadronic Systems -- 6.1 Tests of Reaction Mechanisms -- 6.2 Three-Body Effects in Nuclear Processes -- References.
Síntesis:
The model calculations considered here test the DWBA with a wide range of three-body models. Each of the calculations, however, considers only one or two aspects of the accuracy of the DWBA. The lack of overlap of the testing parameters limits the con clusions which can be drawn. This is particularly true with reference to the nucleon core potential where comparable parameters are rarely used. In spite of this limitation, we may make a few observations about the sensitivity of the model cross sections and the mechanism which produces an accurate DWBA. Specifically we may summarize the most important results as follows: 1) In these models the exact DWBA at low energies (E.
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