Abstract

We explore the origins and breaking mechanisms of the spin and pseudospin symmetries for the antinucleon spectrum by the use of the similarity renormalization group, which transforms the Dirac Hamiltonian into a diagonal form and decomposes it into several independent components. By comparing the contribution of every component to the spin and pseudospin splittings, it is found that the energy splitting of spin doublets is dominated by the spin-orbit coupling while the pseudospin breaking comes mainly from these contributions of the nonrelativistic term and the dynamical term. In addition, the dependencies of the spin and pseudospin symmetries on the shape of the potential and the quantum numbers of the doublets are clarified.

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