1202.3485 (Jian-You Guo)

Exploration of relativistic symmetry by the similarity renormalization
group    [PDF]

Jian-You Guo

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.

View original: http://arxiv.org/abs/1202.3485