An investigation of the tensor force effects on the spin-orbit splitting in spherical and very deformed nuclei

Abstract

A contribution of the tensor force to the phenomenological spin-orbit (SO) potential in the single-particle Hamiltonian is studied for spherical and deformed rare-earth and actinide nuclei. It is found that the deformation dependence of the SO coupling constant, suggested by the second order tensor force contribution, enables to explain the observed single particle (s.p.) states in the second minimum of 237pu and 239pu using a SO strength weaker than usually applied. Consequences of the tensor contributions for the stability of the Z = 114 superheavy nucleus are studied.

Investigation of the Proton Shell Structure Near Z = 64

“…The selection rules for the matrix elements of VLS are the same as for the first order LS-potentials and are given in [ 6 ] .…”

“…Consequently, radii of the effective SO potential and the tensor potential differ. In [6] we have shown that the main effect of the tensor force contribution in the spherical WS potential is to raise the energy of intruder states. This leads, e.g., to specific changes of shell effects at large angular momenta or large deformations.…”