中文摘要：

在球形相对论平均场模型下，采用NLSH相互作用全面研究了从Sn质子滴线核到Sn中子滴线核的自旋对称性和赝自旋对称性．发现：1）随着核子数的增大，中子和质子的赝自旋波函数劈裂基本上都是减小的，并且质子的变化趋势更加明显．中子高能级的自旋波函数劈裂随着核子数的增大也是减小的．2）对于特定的同位素，当~↑n=1时，赝自旋波函数劈裂随着~↑l的增大而增大．当n=2时，中子的自旋波函数劈裂随着ι的增大而增大．当l=2或l=3时，中子的自旋波函数劈裂随着n的增大而增大。3）中子和质子的赝自旋劈裂之间的差别总是比自旋劈裂的差别更大一些．

英文摘要：

Pseudospin symmetry and spin symmetry in Sn isotopes from the proton drip line to the neutron drip line are investigated in spherical relativistic mean field theory with NLSH force parameter. We can conclude the following： （1） The pseudospin wavefunction splitting decreases from the proton drip line to the neutron drip line for all the pseudospin doublets. Only the neutron spin wavefunction splitting for the high energy level decreases monotonically with increasing the number of neutrons. （2） As for the certain isotope, when ~↑n=1, pseudospin wavefunction splitting increases monotonically with ~↑ι increasing. When n=2, only the neutron spin wavefunction splitting increases monotonically with l increasing. When ι=2 or 3, only the neutron spin wavefunction increases monotonically with n increasing. （3） The spin-orbital splitting for the neutron and proton is always closer to each other than their pseudospin pseudo-orbital splitting in the relativistic mean field theory.