Pseudo-symplectic model for strongly deformed heavy nuclei

O. Castaños, Universidad Nacional Autónoma de México
P. O. Hess, Universidad Nacional Autónoma de México
J. P. Draayer, Louisiana State University
P. Rochford, Louisiana State University


An extension of the strong-coupled pseudo SU(3) model, which is a scheme that has found application in the study of superdeformed bands in heavy nuclei, is introduced. The theory includes multiple inter-shell excitations of the monopole and quadrupole type. It is an extension to heavy (A ≳ 100) nuclei of the microscopic collective model which applies for light (A ≲ 28) systems. Because the scheme has a Sp(3,R) ⊃ SU(3) group theoretical structure, it is called the pseudosymplectic model. A boson expansion for the model hamiltonian is given and results for an application of the theory to 238U presented. © 1991.