LOCAL STRONG AND COULOMB POTENTIALS IN THE THREE-NUCLEON SYSTEM

Abstract

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 the Coulomb potential occurs only in the form of the analytically known Coulomb Green's functions that replace the free Green's functions appearing for short range interactions. Another approach that is applicable for local interactions is the quasiparticle method in which the locality of the potential can be accounted for in a perturbative manner. In this way, it is possible to estimate the influence of the two-nucleon interaction in higher angular momentum states on three-nucleon observables.