Exact solutions for some nuclear many-body problems

Exact solutions for eigenvalues and eigenfunctions of some nuclear many-bod y systems are found by using an infinite-dimensional, Lie-algebraic approac h based on the corresponding Bethe ansatz. Applications of the theory, incl uding solutions of some nuclear pairing problems and U(5) <-> SO(6) transit ional Hamiltonians of the interacting boson model, are given. The relations hip between this new method and other Bethe ansatz solutions in completely integrable systems is discussed. (C) 1999 Academic Press.