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An efficient solution of the Dirac Hamiltonian flow equations has beenproposed through a novel expandsion with the inverse of the Dirac effectivemass. The efficiency and accuracy of this new expansion have been demonstratedby reducing a radial Dirac Hamiltonian with large scalar and vector potentialsto two nonrelativistic Hamiltonians corresponding to particles andantiparticles, respectively. By solving the two nonrelativistic Hamiltonians,it is found that the exact solutions of the Dirac equation, for both particlesand antiparticles, can be reproduced with a high accuracy up to only a fewlowest order terms in the expansion. This could help compare and bridge therelativistic and nonrelativistic nuclear energy density functional theories inthe future.

Hamiltonian flow equations for a Dirac particle in large scalar and vector potentials