ar X iv : n uc l - th / 9 70 90 20 v 1 9 S ep 1 99 7 Reduction of the spin - orbit potential in light drip - line nuclei
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چکیده
The isospin dependence of the spin-orbit interaction in light neutron rich nuclei is investigated in the framework of relativistic mean field theory. The magnitude of the spin-orbit potential is considerably reduced in drip line nuclei, resulting in smaller energy split-tings between spin-orbit partners. The effect does not depend on the parametrization of the effective Lagrangian. The results are compared with corresponding calculations in the non-relativistic Skyrme model. The spin-orbit interaction plays a central role in the physics of nuclear structure. It is rooted in the basis of the nuclear shell model, where its inclusion is essential in order to reproduce the experimentally established magic numbers. In non-relativistic models based on the mean field approximation , the spin-orbit potential is included in a phenomenological way. Of course such an ansatz introduces an additional parameter, the strength of the spin-orbit interaction. The value of this parameter is usually adjusted to the experimental spin-orbit splittings in spherical nuclei, for example 16 O. On the other hand, in the relativistic framework the nucleons are described as Dirac spinors. This means that in the relativistic description of the nuclear many-body problem, the spin-orbit interaction arises naturally from the Dirac-Lorenz structure of the effective Lagrangian. No additional strength parameter is necessary, and relativistic models reproduce the empirical spin-orbit splittings. Many properties of nuclei along the line of beta stability have been successfully described in the framework of models based on the mean-field approximation. Conventional non-relativistic models that include density dependent interactions with finite range (Gogny) [1], or zero-range (Skyrme)
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تاریخ انتشار 2008