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The tensor-force effects on the evolution of the spin-orbit splittings in theneutron drops are investigated within the framework of the relativisticHartree-Fock theory. For fair comparisons on the pure mean-field level, theresults of the relativistic Brueckner-Hartree-Fock calculation with the Bonn Ainteraction are adopted as meta-data. Through a quantitative analysis, wecertify that the $\pi$-pseudovector ($\pi$-PV) coupling affects theevolutionary trend through the tensor force embedded. The strength of thetensor force is explored by enlarging the strength $f_{\pi}$ of the $\pi$-PVcoupling. It is found that weakening the density dependence of $f_{\pi}$ isslightly better than enlarging it with a factor. We thus provide asemiquantitative support for the \textit{renormalization persistency} of thetensor force within the framework of density functional theory. This will serveas an important guidance for the further development of the relativisticeffective interactions with particular focus on the tensor force.

Exploring effects of tensor force and its strength via neutron drops