Deformation effect on the center-of-mass correction energy in nuclei ranging from Oxygen to Calcium

TL;DR

This study systematically calculates the center-of-mass correction energies in nuclei from Oxygen to Calcium using relativistic mean-field models, revealing their dependence on isospin and deformation, and highlighting the impact of nuclear shape on these energies.

Contribution

It provides a detailed analysis of how deformation influences the center-of-mass correction energies in light nuclei within a relativistic framework, including both spherical and deformed models.

Findings

Center-of-mass correction energies depend on isospin and deformation.

Deformation suppresses direct and exchange terms of correction energies.

Correction energies are correlated with nuclear density distribution.

Abstract

The microscopic center-of-mass (c.m.) correction energies for nuclei ranging from Oxygen to Calcium are systematically calculated by both spherical and axially deformed relativistic mean-field (RMF) models with the effective interaction PK1. The microscopic c.m. correction energies strongly depend on the isospin as well as deformation and deviate from the phenomenological ones. The deformation effect is discussed in detail by comparing the deformed with the spherical RMF calculation. It is found that the direct and exchange terms of the c.m. correction energies are strongly correlated with the density distribution of nuclei and are suppressed in the deformed case.