A nonlocal application of the dispersive optical model to $^{\mathrm{208}}$Pb

POSTER

Abstract

A nonlocal application of the dispersive optical model to neutrons and protons in $^{\mathrm{208}}$Pb is presented. A nucleon self-energy is described by parametrized real and imaginary parts connected through a dispersion relation. This parametrization includes nonlocal Hartree-Fock and local Coulomb and spin-orbit real terms, and nonlocal volume and surface and local spin-orbit imaginary terms. A simple Gaussian nonlocality is employed, and appropriate asymmetry parameters are included to describe the N-Z dependence of the nucleus. These parameters are constrained by fitting to experimental data, including particle numbers, energy levels, the charge density, elastic-scattering angular distributions, reaction cross sections, and the neutron total reaction cross section. From the resulting nucleon self-energy, the neutron matter distribution and neutron skin are deduced.

*This work was supported by the US Department of Energy, Division of Nuclear Physics under grant DE-FG02-87ER-40316, the US National Science Foundation under grants PHY-1304242 and PHY-1613362, and the Washington University Office of Undergraduate Research

Authors

  • M. A. Keim

    • Department of Physics, Washington University, St. Louis, MO 63130, USA

  • M. H. Mahzoon

    • Michigan State Univ
    • Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA

  • Mack Atkinson

    • Department of Physics, Washington University, St. Louis, MO 63130, USA
    • Washington University

  • Robert Charity

    • Department of Chemistry, Washington University, St. Louis, MO 63130, USA
    • Washington University

  • W. H. Dickhoff

    • Department of Physics, Washington University, St. Louis, MO 63130, USA