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SYSTEMATICAL MULTIPARTICLE THEORY AND ITS APPLICATION TO THE FOUR-NUCLEON PROBLEM

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Publisher Summary This chapter discusses the systematical multiparticle theory and its application in the four-nucleon problem. The chapter describes the structure of the 2- body and 3-body equations and shows that the generalization to n particles can be accomplished in a natural way. It is a characteristic feature of this approach that the kernel of the occurring integral equations is built up by all subsystem transition operators in an explicit way. One of the important features of the 3-body theory is also achieved in the n-body formalism. This enables the application of the quasiparticle concept in a direct way. The 2-body problem is completely determined by the solution of the Lippmann–Schwinger (LS) equation. The chapter explores a precise correspondence between the expressions of the 2-body and the 3-body theory. The interpretation of the Faddeev theory has two advantages: first, all relations of the 2-body case can at once be taken over to the 3-body theory by inserting the corresponding expressions for the 2-body operators and second, these considerations can be used to go from the 3-body to the 4-body case.