NBody Relativistic Scattering Theory
Abstract
A set of coupled linear integral equations is proposed as a means of generating Lorentzinvariant multiparticle scattering amplitudes which satisfy truncated unitarity relations. Steadystate nonrelativistic scattering theory, in particular the version based on the generalized Faddeev equations, is used as a guide in the formulation and physical interpretation of the equations. The input to the integral equations is a set of scattering amplitudes for subsystems of particles. Creation and annihilation processes are described by the interchange of terminalstate scattering amplitudes with vertex functions, in complete formal analogy with the nonrelativistic treatment of breakup and capture events. A wave function is introduced, a conserved current is defined, and a perturbation theory for discrete states is set up. Formulas for transition rates, for reaction and decay processes, are derived which agree with the familiar results of timedependent Hamiltonian theory. The possibility that selfconsistency criteria might provide a basis for the determination of the input amplitudes is noted.
 Publication:

Physical Review
 Pub Date:
 July 1966
 DOI:
 10.1103/PhysRev.147.1016
 Bibcode:
 1966PhRv..147.1016R