Summary

In this study, we discussed specific nuclear-structure effects induced by strong attractive tensor fields and weak spin-orbit field, which result from direct fits of the coupling constants to the SO splittings. In particular, we showed that contributions to the nuclear binding energies that are due to the tensor field show a generic magic structure with tensorial magic numbers at $N(Z)$=14, 32, 56, or 90 corresponding to maximum spin-asymmetry in $1d_{5/2}$, $1f_{7/2}\oplus 2p_{3/2}$, $1g_{9/2}\oplus 2d_{5/2}$ and $1h_{11/2}\oplus 2f_{7/2}$ single-particle configurations. We also demonstrated that it is possible to construct a functional being able to simultaneously reproduce the $f_{5/2}-f_{7/2}$ SO splittings in $^{40}$Ca, $^{56}$Ni, and $^{48}$Ca nuclei and binding energies of doubly magic spherical nuclei. By using this particular functional, we discussed specific structural effects, pertaining to strong tensor terms, exerted on two-neutron separation energies in oxygen isotopes and PES's in $^{80}$Zr and $^{120}$Sn. In particular, in the context of nuclear deformation properties, we discussed compensation mechanism between the attractive tensor fields and weak SO field.

This work was supported in part by the Polish Ministry of Science under Contract No. N N202 328234, by the Academy of Finland and University of Jyväskylä within the FIDIPRO programme, and by the Swedish Research Council.