Based on the Relativistic continuum Hartree-Bogoliubov (RCHB) theory, thepseudo-spin approximation in exotic nuclei is investigated in Zr and Snisotopes from the proton drip line to the neutron drip line. The quality of thepseudo-spin approximation is shown to be connected with the competition betweenthe centrifugal barrier (CB) and the pseudo-spin orbital potential (PSOP). ThePSOP depends on the derivative of the difference between the scalar and vectorpotentials $dV/dr$. If $dV/dr = 0$, the pseudo-spin symmetry is exact. Thepseudo-spin symmetry is found to be a good approximation for normal nuclei andto become much better for exotic nuclei with highly diffuse potential, whichhave $dV/dr \sim 0$. The energy splitting of the pseudo-spin partners issmaller for orbitals near the Fermi surface (even in the continuum) than thedeeply bound orbitals. The lower components of the Dirac wave functions for thepseudo-spin partners are very similar and almost equal in magnitude.
展开▼
机译：基于相对论连续性哈特里-勃格里古波夫（RCHB）理论，研究了Zr和Snisotopes质子滴线到中子滴线中外来核的拟自旋近似。伪自旋近似的质量被证明与离心屏障（CB）和伪自旋轨道势（PSOP）之间的竞争有关。 PSOP取决于标量和矢量势$ dV / dr $之间的差异。如果$ dV / dr = 0 $，则伪自旋对称是精确的。发现伪自旋对称性是正常原子核的良好近似，对于具有高扩散势的奇异原子核变得更好，伪原子具有$ dV / dr \ sim 0 $。伪自旋伙伴的能量分裂对于费米表面附近（甚至在连续体中）的轨道比深束缚的轨道要小。伪自旋伙伴的狄拉克波函数的较低部分非常相似，并且大小几乎相等。
展开▼
