Faddeev type of equations for three-cluster systems with full treatment of the Pauli principleFaddeev type of equations for three-cluster systems with full treatment of the Pauli principle
Faculty of Sciences. Mathematics and Computer Science
Modeling Of Systems and Internet Communication (MOSAIC)
Journal of physics : conference series. - Bristol
111(2008), p. 012055,1-012055,6
University of Antwerp
We analyze peculiarities of the Pauli principle in thrre-cluster system. We demonstrated that the antisymmetrization operator, being a source of the three-body interaction, can be decomposed into components involving either permutations between all three clusters, or permutations between two clusters only. Introducing this into the Faddeev equations, one obtains three alternative but equivalent formulations. These sets of equations are presented in operator form, for practical applications we will make use full set of the oscillator functions.