The tensor force is a well-established, important component of the bare nucleon-nucleon interaction. On the other hand, it is still a matter of debate whether the tensor force is decisively needed or not as a key ingredient of energy density functionals (EDFs) for the description of medium-heavy nuclei. In this paper, the magnetic dipole $\left(M1\right)$ excitations, the charge-exchange Gamow-Teller (GT), and the spin-dipole (SD) excitations, have been employed to constrain the tensor parameters of Skyrme EDFs. The calculations are done using self-consistent Hartree-Fock (HF) $+$ random phase approximation (RPA) or HF-BCS $+$ quasiparticle RPA models. It has been found that the triplet-even parameter $T$ can be well constrained at around 500 MeV ${\mathrm{fm}}^5$ in the case of the $\mathrm{T}ij$ EDFs, where all parameters of the EDFs are fitted on equal footing, and for the SGII as well as SLy5 effective interactions, where tensor terms are added perturbatively on top of the central part. We have also found that the range of the triplet-odd parameter $U$ of the SGII interaction can be narrowed down by the constraint of $M1$ excitation on top of GT and SD excitations, while for the SLy5 interaction the $M1$ excitation does not help much to constrain the $U$ value, as it plays a similar role as the GT excitations.

Close

PrevNext

View figure in article

• Giant resonances
• Nuclear forces
• Nuclear structure & decays
• Nuclear density functional theory
• Nuclear many-body theory