Carruthers P.A. Spin and Isospin in Particle Physics

Gordon and Breach, Science Publishers, Inc., 1971. – 266 p. – ISBN: 0677025807.In the past decade experimenal studies of collisions of elementary particles have revealed many resonant states of high spin. It is often useful to regard these entities as quasi-stable "particles." The study of the properties of such particles comprises a significant fraction of current research in particle physics. At present there is no widely accepted theoretical understanding of the rich spectrum of strongly interacting particles. At the same time no particular mathematical description of particles of arbitrary spin has dominated the theoretical research. (The formalism of helicity amplitudes has proved very useful for the systematic features of scattering amplitudes, but this is a phenomenology rather than a theory.).The Four-Dimensional Orthogonal Group So(4)
The Homogeneous Lorentz Group, I. Basic Ideas. Irreducible Representations.
The Homogeneous Lorentz Group, II. Spinor Calculus and Relativistic Wave Equations
The Poincare Group, I. Representations and States
The Poincare Group, II. Fields
Internal Symmetries, Antiparticle Conjugation and Space-Time Inversion
Crossing Properties of Scattering Amplitudes and Vertices
Projection Operators, Generalized Isospin Matrices and Crossing Symmetry
Spin Structure of Vertex Functions
Invariant Amplitudes and Kinematic properties of Two-Body Reactions