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Generalized Pseudo-SU(3) Model and Pairing

D. Troltenier·C. Bahri·J. P. Draayer
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Abstract

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.

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D. Troltenier, C. Bahri, J. P. Draayer. 1994-11-15. Generalized Pseudo-SU(3) Model and Pairing. https://doi.org/10.1016/0375-9474(94)00518-r

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