Scattering Integral Equations and Four-Nucleon Problem. Integral Equations for Weinberg Quasiparticles

摘要

This is the second part of the paper in which existing results from the application of integral technique to the four-nucleon bound states and scattering are reviewed. The purpose of this review is to provide a clear and elementary introduction in the integral equation method and to demonstrate its usefulness in physical applications. The presentation is based on the quarsiparticle appoach. This permits a simple interpretation of the equation in terms of quasiparticle scattering. The mathematical basis for the quasiparticle approach is the Hilbert-Schmidt method of the Fredholm integral equation theory. The first part of this review contains a detailed discussion of the Hilbert-Schmidt expansion as applied to the two-particle amplitudes which are the kernels of the three-body equations.The second part contains the discussion of the three- and four-body quasiparticle equations. (Atomindex citation 13:643847)