Theoretical study of elastic electron scattering off stable and exotic nuclei

Abstract

Results for elastic electron scattering by nuclei, calculated with charge densities of Skyrme forces and covariant effective Lagrangians that accurately describe nuclear ground states, are compared against experiment in stable isotopes. Dirac partial-wave calculations are performed with an adapted version of the ELSEPA package. Motivated by the fact that studies of electron scattering off exotic nuclei are intended in future facilities in the commissioned GSI and RIKEN upgrades, we survey the theoretical predictions from neutron-deficient to neutron-rich isotopes in the tin and calcium isotopic chains. The charge densities of a covariant interaction that describes the low-energy electromagnetic structure of the nucleon within the Lagrangian of the theory are used to this end. The study is restricted to medium and heavy mass nuclei because the charge densities are computed in mean field approach. Since the experimental analysis of scattering data commonly involves parameterized charge densities, as a surrogate exercise for the yet unexplored exotic nuclei, we fit our calculated mean field densities with Helm model distributions. This procedure turns out to be helpful to study the neutron-number variation of the scattering observables and allows us to identify correlations of potential interest among some of these observables within the isotopic chains.

18 pages, 14 figures, revtex4; modifications in text and figures

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Cited by in corpus (27)

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• Density dependence of the symmetry energy from neutron skin thickness in finite nuclei
• Properties of the nuclear medium
• Origin of the neutron skin thickness of 208Pb in nuclear mean-field models
• Quantum Nuclear Pasta and Nuclear Symmetry Energy
• Garvey-Kelson Relations for Nuclear Charge Radii
• Low-energy nuclear physics and global neutron star properties
• Electroweak probes of ground state densities
• Beyond mean-field study of elastic and inelastic electron scattering off nuclei
• Electron scattering in isotonic chains as a probe of the proton shell structure of unstable nuclei
• Role of higher order couplings in the presence of kaons in relativistic mean field description of neutron stars
• Elastic and quasi-elastic electron scattering off nuclei with neutron excess
• Influence of the single-particle structure on the nuclear surface and the neutron skin
• Elastic magnetic electron scattering from deformed nuclei
• Nuclear shape transitions and elastic magnetic electron scattering
• Elastic and quasi-elastic electron scattering on the N = 14, 20, and 28 isotonic chains
• Theoretical calculations for precision polarimetry based on Mott scattering
• Theoretical study on nuclear structure by the multiple Coulomb scattering and magnetic scattering of relativistic electrons
• The full weak charge density distribution of 48Ca from parity violating electron scattering
• Neutron Skins: Weak Elastic Scattering and Neutron Stars
• Probe the 2$s_{1/2}$ and 1$d_{3/2}$ state level inversion with electron-nucleus scattering
• Properties of ${}^{208}$Pb predicted from the relativistic equation of state in the full Dirac space
• Exclusive J/$\psi$ Detection and Physics with ECCE
• Extraction of the second and fourth radial moments of nuclear charge density from the elastic electron-nucleus scattering
• Elastic Electron Scattering from Deformed and Oriented Odd-A Nuclei
• Study of the neutron skin thickness of ${}^{208}$Pb in mean field models
• The pygmy dipole strength, the neutron radius of ${}^{208}$Pb and the symmetry energy