QUASIPARTICLE CALCULATIONS FOR THE THREE-NUCLEON SYSTEM

Abstract

This chapter discusses the quasiparticle calculations for the three-nucleon system. There are three methods for solving the integral equations for the three-body problem with local two-body potentials; one method consists of the direct solution of the Faddeev equations, and the other two methods make different use of the quasiparticle idea that is based on the splitting of the occurring two-body potentials into a sum of separable terms and a rest potential. The chapter describes the term “form factors” and “coupling strengths.” A similar splitting is obtained for the T-matrices T γ . With its help, it is possible to transform the Faddeev-type equations for the three-body transition operators into equations for the effective two-body amplitudes. This acts on the relative momentum states of the two colliding particles and fulfills multichannel two-particle Lippmann–Schwinger equations, in close connection with the intuitive picture of such reactions. The quasiparticle method can be applied to the three-body resolvent equations to provide a simple form of effective potential used in the calculations.