The tensor force is implemented into the mean-field model so that the evolution of nuclear shells can be described for exotic nuclei as well as stable ones. Besides the tensor-force part simulating the meson exchange, the model is an extension of the successful Gogny model. One of the major issues of rareisotope beam physics is a reduced spin-orbit splitting in neutron-rich exotic nuclei. It will be shown that the effect of the tensor force on this splitting is larger than or about equal to the one due to the neutron skin. We will present predictions for stable and exotic nuclei with comparisons to conventional results and experimental data. DOI: 10.1103/PhysRevLett.97.162501 PACS numbers: 21.60.ÿn, 21.10.Pc, 21.30.Fe Like other many-body quantal systems, the mean field governs largely the structure of nuclei. Recently it has been shown, by using the shell model, that the tensor force has a specific, robust, and systematic effect on the single-particle energies of nuclei, even breaking or creating magic numbers in some cases [1]. It is then very interesting to explore what can be seen by including the tensor force into the mean-field calculations. Note that in the shell model, the single-particle wave functions are given a priori and are fixed more or less.The existing successful and systematic mean-field calculations are either of Skyrme-type [2,3] or of Gogny-type [4]. In the former, the interaction is of zero-range nature with derivative couplings, while the tensor terms have been suppressed, probably because the number of free parameters is made as small as possible [5]. In the latter, the interaction is of finite-range nature [4,6,7], while there is no tensor term either.In this Letter, we present a new mean-field model which includes the tensor force explicitly and keeps the merits of the existing models. In exotic nuclei far from stability with large asymmetric ratios between the proton number (Z) and the neutron number (N), the single-particle properties may show distinct characteristic changes from those seen in usual stable nuclei. In particular, in neutron-rich exotic nuclei, the neutron skin can be created [8], which may give rise to a diffuse surface resulting in a reduced spin-orbit splitting [9,10]. The tensor force changes the spin-orbit splitting in a systematic and different way [1]. It should be very important to investigate the neutron-skin effect and the tensor-force effect within a single framework.We introduce a new Gogny-type mean-field model, called GT2. All the terms of the Gogny interaction are kept, while their strength parameters are readjusted. The Gogny interaction contains central interactions with Gaussian-function dependences on the relative distance of nucleons [4,6,7]. Two ranges of Gaussians are included with full four spin-isospin coupling terms, ending up with eight terms. The tensor term is expressed as [1],where 1;2 (s 1;2 ) denotes the isospin (spin) of nucleons 1 and 2, K means the coupling of two operators in the brackets to an angular momentum (or rank) K, and Y d...