Nuclear shape transitions and elastic magnetic electron scattering

Backward elastic electron scattering from odd-$A$ nuclear targets is characterized by magnetic form factors containing precise information on the structure. We study sensitivity of to structural effects related evolution and shape transitions in both isotopic isotonic chains. Calculations are performed plane-wave Born approximation. The structure obtained a deformed self-consistent mean-field calculation based Skyrme $\mathrm{HF}+\mathrm{BCS}$ formalism. Collective included cranking approximation, whereas nucleon-nucleon correlations taken into account coherent density fluctuation model. found exhibit signatures that show up selected chains involving stable unstable nuclei. Several cases identified as suitable candidates for showing such fingerprints transitions. A new generation experiments electron-radioactive beam colliders will be available near future, leading renewed interest this field.