Pseudospin symmetry hidden in Dirac equation with deformed potential

The pseudospin symmetry hidden in the Dirac equation is found for the case of the deformed potential both in the large and small components of the Dirac wave function. When the pseudospin approximation is good, the absolute values of the amplitudes of the pseudospin pair levels with the unnatural ? _z (unphysical components) almost agree each other both in the large and small components. In contrast to these pseudospin pair levels, the absolute values of the amplitudes with the natural ? _z (physical components) agree for the spin pair levels both in the large and small components. It is confirmed by the numerical analysis based on the relativistic mean-field theory for ¹⁵⁴Sm.