A closer look at pseudo space-spin symmetry in atomic nuclei
A procedure for applications of the pseudospin transformation within the framework of nuclear oscillator shell model is developed. It is valid for operators expressed in terms of single-particle variables and is based on permutation rules for special rotational invariants. The procedure is applied to a number of physical operators including several rotational scalars, the spin and orbital momenta, and the quadrupole moment. The validity of the pseudo-spin concept for triaxially deformed nuclei is also investigated by calculating the correlation coefficient of a generalized Nilsson model Hamiltonian and the pseudo spin-orbit interaction. This correlation coefficient, which is a normalized measure for the goodness of pseudo-spin symmetry, indicates that even though the near level degeneracy of pseudo spin-orbit partners for axially symmetric geometries (prolate and oblate) is lost in triaxial systems, the symmetry itself remains good.
Publication Source (Journal or Book title)
Revista Mexicana de Fisica
Blokhin, A., Beuschel, T., & Draayer, J. (1996). A closer look at pseudo space-spin symmetry in atomic nuclei. Revista Mexicana de Fisica, 42 (SUPPL. 1), 21-34. Retrieved from https://digitalcommons.lsu.edu/physics_astronomy_pubs/1957