Generalized Bethe-Faddeev wave functions

Jacob Szeftel, Jean-Claude Serge Lévy

V. E. Korepin

N. A. Slavnov

João da Providência, Carl M. Shakin

It is shown that starting with a correlated wave function for nuclear matter of a general form one may make direct correspondence to the conventional diagrammatic theory of Brueckner, Bethe, and Goldstone. In particular, in this work we show that the expression for the three-body-cluster energy is the same as that obtained by Bethe. Also, it is shown that the current approximation which neglects the potential for particle states in the diagrammatic approach corresponds to a neglect of a coupling between the two-body (Bethe-Goldstone) equation and the equation for the three-body-cluster wave function (Bethe-Faddeev). The theory presented here provides a clarification of the relation of the $n$-body-cluster wave functions and the structure of the wave function of the entire system.

Takashi Takebe

The quantum inverse scattering method is applied to the inhomogeneous Heisenberg XYZ model with general spins, i.e. the general spin representations of the Sklyanin algebra. By means of the generalized Bethe ansatz developed by Takhtajan and Faddeev (1979) the eigenvectors and eigenvalues of the transfer matrix are found.

Никита Андреевич Славнов