Parity doublet means two orbital with opposite parities with different orbital angular momenta lies close to each other. Parity doublet is only seen in the case of largedeformed nuclei not in spherical nuclei. In spherical nuclei, these orbital is very  far from each other.

In 1997, Ginocchio showed that the psedospin symmetry in nuclei is exactly conserved when the scalar potential S(r) and the vector potential V(r) have the same size but opposite spin i.e. sigma(r)=S(r)+V(r)=0. This discoveries not only reveals the origin of the pseudospin symmetry but also demostreted an unexpected succes of the RMF theory. The psedospin symmetries is much better for exotic nuclei with a highly diffused potential. In the case of pseudospin doublet , the energy levels spliting with two different orbital angular momenta but same angular momentum(j). In the pseudospin doublet is only persist in the case of deformed nuclei not in spherical nuclei . Can any body clear the difference between these parity doublet and pseudospin doublet. Is there same or different?