摘要
In the framework of the Hartree-Fock approach the proton spin-orbital splittings of the 1p orbits and the shell gaps in the oxygen isotopes are investigated with the interactions SLy5+T,SLy5+Tw,SGII+Te1,SGII+Te2,SGII+Te3 and many sets of the TIJ interactions.All of the interactions are the Skyrme interactions and contain a tensor component(tensor force).It is shown that the evolution of the single-proton levels for the oxygen isotopes is sensitive to a parameterβTwhich is associated with the tensor force strength of the Skyrme interactions.To understand this phenomenon,we systematically analyze the dependence of the spin-orbit splittings and shell gaps on the parameterβTin terms of the spin-orbit potential and the corresponding wave function.We find that the Skyrme interactions can be classified into two groups:(a)T21,T32,T43,T54,SLy5+T,SLy5+Tw,SGII+Te1 and SGII+Te2,which can roughly reproduce the experimental shell gaps of the oxygen isotopes;(b)T1J and SGII+Te3,which can not reproduce the experimental shell gaps.
In the framework of the Hartree-Fock approach the proton spin-orbital splittings of the 1p orbits and the shell gaps in the oxygen isotopes are investigated with the interactions SLy5＋T,SLy5＋Tw,SGII＋Te1,SGII＋Te2,SGII＋Te3 and many sets of the TIJ interactions.All of the interactions are the Skyrme interactions and contain a tensor component（tensor force）.It is shown that the evolution of the single-proton levels for the oxygen isotopes is sensitive to a parameterβTwhich is associated with the tensor force strength of the Skyrme interactions.To understand this phenomenon,we systematically analyze the dependence of the spin-orbit splittings and shell gaps on the parameterβTin terms of the spin-orbit potential and the corresponding wave function.We find that the Skyrme interactions can be classified into two groups：（a）T21,T32,T43,T54,SLy5＋T,SLy5＋Tw,SGII＋Te1 and SGII＋Te2,which can roughly reproduce the experimental shell gaps of the oxygen isotopes;（b）T1J and SGII＋Te3,which can not reproduce the experimental shell gaps.
基金
supported by the Fundamental Research Funds for the Central Universities(Grant No.13QN59)
the National Natural Science Foundation of China(Grant Nos.11275271 and 11305109)
the Funds for Creative Research Groups of China(Grant No.11021504)
the Natural Science Foundation of Guizhou Province of China(Grant No.2013GZ62432)
