Test of spin symmetry in anti-nucleon spectra

The spin symmetry in antinucleon spectra of a nucleus is tested by investigating the relations between the Dirac wave functions of the spin doublets and examining these relations in realistic nuclei within the relativistic mean-field model. In addition to the fact that the dominant components of the Dirac spinors of the spin doublet are nearly identical to each other, there is a differential relation between the smaller components which is found to be almost exactly fulfilled.