The pseudo-SU(3) model is extended to explicitly include the spin and proton-neutron degrees of freedom. A general formalism for evaluating matrix elements of one-body and two-body tensor operators within this framework is presented. The pairing interaction, which couples different irreducible representations of SU(3), is expressed in terms of pseudo-space tensors and a general result is given for calculating its matrix elements. The importance of pairing correlations in pseudo-SU(3) model calculations is demonstrated by examining the dependence of wavefunctions, low-energy collective excitation spectra, and moments of inertia on the strength of the pairing interaction. © 1995.
Publication Source (Journal or Book title)
Nuclear Physics, Section A
Troltenier, D., Bahri, C., & Draayer, J. (1995). Generalized pseudo-SU(3) model and pairing. Nuclear Physics, Section A, 586 (1), 53-72. https://doi.org/10.1016/0375-9474(94)00518-R