Further investigation of the relativistic symmetry by similarity renormalization group

TL;DR

This paper uses similarity renormalization group techniques to analyze the relativistic symmetry in nuclear systems, revealing how different Hamiltonian components influence pseudospin and spin-orbit symmetries.

Contribution

It provides a detailed investigation of the relativistic symmetry using the similarity renormalization group, clarifying the roles of various Hamiltonian components on pseudospin and spin-orbit splittings.

Findings

Dynamical terms similarly influence pseudospin splitting.

Spin-orbit interactions favor pseudospin symmetry.

Pseudospin symmetry improves near the continuum.

Abstract

Following a recent rapid communications[Phys.Rev.C85,021302(R) (2012)], we present more details on the investigation of the relativistic symmetry by use of the similarity renormalization group. By comparing the contributions of the different components in the diagonal Dirac Hamiltonian to the pseudospin splitting, we have found that two components of the dynamical term make similar influence on the pseudospin symmetry. The same case also appears in the spin-orbit interactions. Further, we have checked the influences of every term on the pseudospin splitting and their correlations with the potential parameters for all the available pseudospin partners. The result shows that the spin-orbit interactions always play a role in favor of the pseudospin symmetry, and whether the pseudospin symmetry is improved or destroyed by the dynamical term relating the shape of the potential as well as the quantum numbers of the state. The cause why the pseudospin symmetry becomes better for the levels closer to the continuum is disclosed.