Investigation of nonlinear isoscalar-isovector coupling in a relativistic mean-field model by elastic magnetic electron scattering

In this paper, we study the sensitivity of single valence neutron properties and elastic magnetic form factors to three different relativistic mean-field (RMF) parameter sets: NL3, FSUGold, and IU-FSU. To perform our calculation, seven odd-A nuclei having single valence neutron on top of a magic neutron core: Be7, O17, Ca41, Ni57, Zr91, Ba139, and Pb209 are considered as model nuclei. The wave-function of the outer most neutron orbit, matter density, valence neutron density, and magnetic form factors are numerically calculated. It is shown that there are significant differences between the magnetic form factors in the mediate- and high-momentum transfer regions when calculate with different parameter sets. Such separation is more evident with larger nuclear mass and isospin asymmetry. By fitting to the experimental data, the spectroscopic factors for O17 and Ca41 are obtained. From the fitting, we infer that including the isoscalar-isovector meson self-coupling can give a better performance of the RMF calculation.