Pseudo LS coupling and pseudo SU3 coupling schemes

Shell-model-like Approach (SLAP) for the Nuclear Properties in Relativistic Mean Field Theory

“…During the past two decades, it has received wide attention due to its success in describing many nuclear phenomena for the stable nuclei [2,3] as well as nuclei even far from stability [4,5]. It has been shown that the relativistic Brueckner theory can reproduce better the nuclear saturation properties (the Coester line) in nuclear matter [6], present a new explanation for the identical bands in superdeformed nuclei [7] and the neutron halo [8], predict a new phenomenon -giant neutron halos in heavy nuclei close to the neutron drip line [9], give naturally the spin-orbit potential, the origin of the pseudospin symmetry [10,11] as a relativistic symmetry [12,13,14] and spin symmetry in the anti-nucleon spectrum [15], and present good description for the magnetic rotation [16] and the collective multipole excitations [17], etc.…”

Consequences of a relativistic pseudospin symmetry for radial nodes and intruder levels in nuclei

“…The concept of pseudospin symmetry [1,2] is based on the empirical observation of quasidegenerate pairs of certain normal-parity shell-model orbitals with non-relativistic quantum numbers n r , ℓ, j = ℓ + 1 2 and n r − 1, ℓ + 2, j = ℓ + 3 2 .…”

Pseudo-SU(4) model and beta decay of pf-shell nuclei

“…The low-lying states of 60 Ni are contained in the SU(3) irrep (4,2) and those of 60 Zn are in the SU(3) irrep (8,0). In both cases the levels are explained qualitatively by the SU(3) model.…”

“…There have been efforts to restore symmetry for the nuclei which have large l-s coupling by introducing the concept of pseudo-spin and pseudo-orbit [8]. The pseudo-SU(4) model [2] was proposed to deal with the pf-shell by combining the pseudo-spin and the isospin.…”