Microscopic SUπ(3) ⊗ SUv(3) interpretation of a two triaxial rotor model

G. F. Filippov, Bogolyubov Institute for Theoretical Physics Nasu
A. F. Lisetskyi, Taras Shevchenko National University of Kyiv
J. P. Draayer, Louisiana State University


A description of the relative motion of neutrons and protons in strongly deformed even-even nuclei is reduced to that of two coupled triaxial rotors, one representing the neutrons and the other the protons, by using generating function methods. The two rotor theory is interpreted as a generalization of the Elliott SU(3) model with a neutron-proton direct product SUv(3)×SUπ(3) substructure. The second order Casimir operator for this system is constructed and some of its eigenfunctions are found in explicit form in the Fock-Bargmann space representation. Analytical results for isovector M1 transitions probabilities are obtained and the results compared with experimental data and pseudo-SU(3) calculations. Graphs picturing the relative orientation of neutron-proton rotors in 22Ne are presented. © 1995 American Institute of Physics.