Exploration of relativistic symmetry by the similarity renormalization group

Details Exploration of relativistic symmetry by the similarity renormalization group Exploration of relativistic symmetry by the similarity renormalization group

2012-02-16

arxiv.org/abs/1202.3485v1

The paper has been published in PHYSICAL REVIEW C 85, 021302(R) (2012) with minor modification

Physics

Nuclear Physics

Nuclear Theory

5pages, 2figures

Scientific paper

The similarity renormalization group is used to transform Dirac Hamiltonian into a diagonal form, which the upper (lower) diagonal element becomes an operator describing Dirac (anti-)particle. The eigenvalues of the operator are verfied to be in good agreement with that of the original Hamiltonian. Furthermore, the pseudospin symmetry is investigated. It is shown that the pseudospin splittings appearing in the nonrelativistic limit are reduced by the contributions from these terms relating the spin-orbit interactions, added by those relating the dynamical terms, and the quality of pseudospin symmetry origins mainly from the competition of the dynamical effects and the spin-orbit interactions. The spin symmetry of antiparticle spectrum is well reproduced in the present calculations.

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