Nuclear shape transitions and elastic magnetic electron scattering

Abstract

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

Nuclear symmetry energy components and their ratio: A new approach within the coherent density fluctuation model

“…4). In practice, predictions for the symmetry energy vary substantially (28)(29)(30)(31)(32)(33)(34)(35)(36)(37)(38), e.g., an empirical value of the symmetry energy 30 ± 4 MeV is given in Refs. [47,48].…”

“…The model was applied to study the scaling function and its connection with the spectral function and the momentum distribution [24,25]. The CDFM was used also to study the role of the NN correlations in elastic magnetic electron scattering [26][27][28].…”

Study the Nuclear Structure of Some Even-Even Ca Isotopes Using the Microscopic Theory

“…According to theoretical conclusions 5,6,7 the shape in light neutron-rich nuclei implies decoupled quadrupole movements between protons and neutrons in those nuclei. A shell model with selfconsistent Hartree-Fock computations has been used by some researchers to examine the nuclear structure 8 .…”

The Effective M3Y Residual Interaction In 41Ca As a Nuclear Diffraction Grating of Electrons

“…Plane wave Born approximation has been used in the calculation, The characteristics of the one body have been generated in a deformed self-consistent mean field determined according to a Skyrme HF+BCS theory. Also approximation of the cranked took in to account collective effects and the results from multiple stable nucleuses have been compared to the experimental data 10 .…”