Global nuclear structure effects of the tensor interaction

Abstract

A direct fit of the isoscalar spin-orbit (SO) and both isoscalar and isovector tensor coupling constants to the ${f}_{5/2}--{f}_{7/2}$ SO splittings in $^{40}\mathrm{Ca}$, $^{56}\mathrm{Ni}$, and $^{48}\mathrm{Ca}$ nuclei requires a drastic reduction of the isoscalar SO strength and strong attractive tensor coupling constants. The aim of this work is to address further consequences of these strong attractive tensor and weak SO fields on binding energies, nuclear deformability, and high-spin states. In particular, the contribution to the nuclear binding energy from the tensor field shows a generic magic structure with tensorial magic numbers $N(Z)=14,32,56$, or $90$, corresponding to the maximum spin asymmetries in $1{d}_{5/2}$, $1{f}_{7/2}\ensuremath{\bigoplus}2{p}_{3/2}$, $1{g}_{9/2}\ensuremath{\bigoplus}2{d}_{5/2}$, and $1{h}_{11/2}\ensuremath{\bigoplus}2{f}_{7/2}$ single-particle configurations, respectively, and that these numbers are smeared out by pairing correlations and deformation effects. The consequences of strong attractive tensor fields and weak SO interaction for nuclear stability at the drip lines are also examined, particularly those close to the tensorial doubly magic nuclei. The possibility of an entirely new tensor-force-driven deformation effect is discussed.