# Stability of Strutinsky Shell Correction Energy in Relativistic Mean Field Theory

## TL;DR

This paper investigates the stability of shell correction energy calculations in relativistic mean field theory, emphasizing the importance of proper space size selection for consistent results using the Strutinsky method.

## Contribution

It demonstrates that with appropriate space sizes, shell correction energies are stable and consistent across different solution methods in RMF theory.

## Key findings

- Shell correction energies are stable with proper space sizes.
- Consistency between basis space and coordinate space solutions.
- Proper space size selection is crucial for accurate shell correction energy calculation.

## Abstract

The single-particle spectrum obtained from the relativistic mean field (RMF) theory is used to extract the shell correction energy with the Strutinsky method. Considering the delicate balance between the plateau condition in the Strutinsky smoothing procedure and the convergence for the total binding energy, the proper space sizes used in solving the RMF equations are investigated in detail by taking 208Pb as an example. With the proper space sizes, almost the same shell correction energies are obtained by solving the RMF equations either on basis space or in coordinate space.