Reflection asymmetric relativistic mean field approach and its application to the octupole deformed nucleus $^{226}$Ra

TL;DR

This paper introduces a Reflection Asymmetric Relativistic Mean Field (RAS-RMF) approach, expanding equations on two-center harmonic-oscillator eigenfunctions, and successfully applies it to model the octupole deformed nucleus $^{226}$Ra, matching experimental data.

Contribution

The paper develops a novel RAS-RMF method using two-center harmonic-oscillator basis functions for better modeling of reflection asymmetric nuclei.

Findings

Accurately reproduces binding energy of $^{226}$Ra

Successfully models octupole deformation parameters

Demonstrates efficiency and reliability of the RAS-RMF approach

Abstract

A Reflection ASymmetric Relativistic Mean Field (RAS-RMF) approach is developed by expanding the equations of motion for both the nucleons and the mesons on the eigenfunctions of the two-center harmonic-oscillator potential. The efficiency and reliability of the RAS-RMF approach are demonstrated in its application to the well-known octupole deformed nucleus $^{226}$Ra and the available data, including the binding energy and the deformation parameters, are well reproduced.