Relativistic RPA in axial symmetry

TL;DR

This paper extends covariant density functional theory with a fully self-consistent relativistic RPA approach to axially deformed nuclei, enabling detailed analysis of nuclear excitations with a new computational tool.

Contribution

It introduces the first application of covariant RMF+RRPA to axially deformed nuclei with a new parallel code and validates the decoupling of spurious modes.

Findings

Successful implementation of self-consistent RMF+RRPA for axial nuclei.

Validation of proper decoupling of spurious modes.

Application to $^{20}$Ne reveals detailed dipole transition properties.

Abstract

Covariant density functional theory, in the framework of self-consistent Relativistic Mean Field (RMF) and Relativistic Random Phase approximation (RPA), is for the first time applied to axially deformed nuclei. The fully self-consistent RMF+RRPA equations are posed for the case of axial symmetry and non-linear energy functionals, and solved with the help of a new parallel code. Formal properties of RPA theory are studied and special care is taken in order to validate the proper decoupling of spurious modes and their influence on the physical response. Sample applications to the magnetic and electric dipole transitions in $^{20}$Ne are presented and analyzed.