Exploring effects of tensor force and its strength via neutron drops * *Supported by National Natural Science Foundation of China (11905088, 11675065, 12075104), the Strategic Priority Research Program of Chinese Academy of Sciences (XDB34000000), JSPS Grant-in-Aid for Early-Career Scientists (18K13549), JSPS Grant-in-Aid for JSPS Fellows (19J20543), and JSPS Grant-in-Aid for Scientific Research (S) (20H05648)

Abstract

The tensor-force effects on the evolution of spin-orbit splittings in neutron drops are investigated within the framework of the relativistic Hartree-Fock theory. For a fair comparison on the pure mean-field level, the results of the relativistic Brueckner-Hartree-Fock calculation with the Bonn A interaction are adopted as meta-data. Through a quantitative analysis, we certify that the -pseudovector ( -PV) coupling affects the evolutionary trend through the embedded tensor force. The strength of the tensor force is explored by enlarging the strength of the -PV coupling. It is found that weakening the density dependence of is slightly better than enlarging it with a factor. We thus provide a semiquantitative support for the renormalization persistency of the tensor force within the framework of density functional theory. This will serve as important guidance for further development of relativistic effective interactions with particular focus on the tensor force.