Elastic Electron Scattering from Deformed and Oriented Odd-A Nuclei

Abstract

Interference terms between monopole and quadrupole Coulomb form factors that contribute to the cross-section of electron scattering from polarized nuclei are studied within the plane wave Born approximation. By experimentally exploring the effect of this nuclear response, valuable insights into the sign of the quadrupole deformation can be obtained. The nuclear structure is evaluated numerically using a self-consistent deformed Hartree-Fock approximation with Skyrme effective interactions and accounting for pairing correlations. To illustrate the practical applicability, several examples of odd-A nuclei with different spins and deformations are examined. Comparison of unpolarized and polarized cross-sections becomes a tool to discriminate between the oblate and prolate nature of the nuclear shape, providing a deeper understanding of the nuclear deformation.

13 pages, 30 figures

References in corpus (11)

• Accurate Determination of the Neutron Skin Thickness of ${}^{208}$Pb through Parity-Violation in Electron Scattering
• Precision Determination of the Neutral Weak Form Factor of ${}^{48}$Ca
• Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations
• Theoretical study of elastic electron scattering off stable and exotic nuclei
• Beta-decay properties of neutron-rich Ge, Se, Kr, Sr, Ru, and Pd isotopes from deformed quasiparticle random-phase approximation
• Superscaling analysis of inclusive electron scattering and its extension to charge-changing neutrino-nucleus cross sections beyond the relativistic Fermi gas approach
• Stellar weak decay rates in neutron-deficient medium-mass nuclei
• Production of spin-controlled rare isotope beams
• Elastic magnetic electron scattering from deformed nuclei
• Nuclear shape transitions and elastic magnetic electron scattering
• Quadrupole deformation signatures in elastic electron scattering from oriented odd-A nuclei