Comparative studies on nuclear elastic magnetic form factors between the relativistic and non-relativistic mean-field approaches * *Supported by the National Natural Science Foundation of China (11505292, 11605105, 11822503, 11975167, 12035011), the Shandong Provincial Natural Science Foundation, China (ZR2020MA096), the Fundamental Research Funds for the Central Universities (20CX05013A, 22120210138), and the Graduate Innovative Research Funds of China University of Petroleum (East

Abstract

It is known that elastic magnetic electron scattering can be used to study the magnetic properties of nuclei and determine the outermost-shell single-particle orbitals. In this study, the magnetic form factors of odd-A nuclei calculated with relativistic and non-relativistic models are systematically compared. We use the relativistic mean-field (RMF) and Skyrme Hartree-Fock (SHF) models to generate single-particle wave functions and calculate the values of selected nuclei under relativistic and non-relativistic frameworks, respectively. Geometric factors are introduced through the spherical limit method to consider the influences of deformation, which improves the agreement between the theoretical results and experimental data. It is shown that both the models have the capability to describe the magnetic form factors in the spherical and deformed cases, and the discrepancies in reflect the differences in the descriptions of the single-particle orbital between the two models.