Relativistic symmetry in deformed nuclei by similarity renormalization group

TL;DR

This paper employs similarity renormalization group techniques to analyze relativistic symmetries in deformed nuclei, revealing how deformation impacts key relativistic effects and symmetry breaking.

Contribution

It introduces a method to decompose the Dirac Hamiltonian into meaningful terms, enabling detailed analysis of relativistic symmetries in deformed nuclear systems.

Findings

Deformation significantly affects spin-orbit interaction.

Dynamical effects are altered by nuclear deformation.

Relativistic symmetries are influenced by deformation, affecting symmetry breaking.

Abstract

The similarity renormalization group is used to transform a general Dirac Hamiltonian into diagonal form. The diagonal Dirac operator consists of the nonrelativistic term, the spin-orbit term, the dynamical term, and the relativistic modification of kinetic energy, which are very useful to explore the symmetries hidden in the Dirac Hamiltonian for any deformed system. As an example, the relativistic symmetries in an axially deformed nucleus are investigated by comparing the contributions of every term to the single particle energies and their correlations with the deformation. The result shows that the deformation considerably influences the spin-orbit interaction and dynamical effect, which play a critical role in the relativistic symmetries and its breaking.