Exact solutions for some nuclear many-body problems

Feng Pan, Louisiana State University
J. P. Draayer, Louisiana State University


Exact solutions for eigenvalues and eigenfunctions of some nuclear many-body systems are found by using an infinite-dimensional, Lie-algebraic approach based on the corresponding Bethe ansatz. Applications of the theory, including solutions of some nuclear pairing problems andU(5)↔SO(6) transitional Hamiltonians of the interacting boson model, are given. The relationship between this new method and other Bethe ansatz solutions in completely integrable systems is discussed. © 1999 Academic Press.