0000000000652993
AUTHOR
E.o. Alt
Excited states in the three-body system
Three-body excited states are calculated in a local potential model by means of the quasi-particle method. The improvement over the approach in which the local potential is approximated by a separable one is demonstrated.
SYSTEMATICAL MULTIPARTICLE THEORY AND ITS APPLICATION TO THE FOUR-NUCLEON PROBLEM
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 Lippman…
QUASIPARTICLE CALCULATIONS FOR THE THREE-NUCLEON SYSTEM
Publisher Summary 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 Tγ. With its help, it is possible to transform the Faddeev-type equations for the three-body tra…
LOCAL STRONG AND COULOMB POTENTIALS IN THE THREE-NUCLEON SYSTEM
Publisher Summary This chapter focuses on local strong and Coulomb potentials in the three-nucleon system. Attempts to use local potentials in three-nucleon calculations with the Faddeev equations are impeded by the fact that for increasing energies contributions from higher and higher subsystem, angular momentum states become important, which quickly make the system of coupled equations unwieldy. However, if long-range interactions such as the Coulomb potential were added, such a procedure would not be useful at all. Several approaches exist that deal with the problems arising from the infinite range of the latter. In the work of Noble and Bencze, the Faddeev equations are modified so that…