Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by similarity renormalization group

Abstract

By following the conventional similarity renormalization group (SRG) expansion of the Dirac equation developed in [J.-Y. Guo, Phys. Rev. C \textbf{85}, 021302 (2012)], we work out the analytic expression of the $1/M^4$ order and verify the convergence of this method. As a step further, the reconstituted SRG method is proposed by using the re-summation technique. The speed of convergence of the reconstituted SRG becomes much faster than the conventional one, and the single-particle densities with the reconstituted SRG are also almost identical to the exact values.

10 pages, 3 figures, and 8 tables

References in corpus (3)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Pseudospin symmetry in nuclear structure and its supersymmetric representation

Cited by in corpus (4)

• Toward a bridge between relativistic and nonrelativistic density functional theories for nuclei
• Covariant Density Functional Theory with Localized Exchange Terms
• Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by reconstituted Foldy-Wouthuysen transformation
• Hamiltonian flow equations for a Dirac particle in large scalar and vector potentials