Properties of ${}^{208}$Pb predicted from the relativistic equation of state in the full Dirac space

Abstract

Relativistic Brueckner-Hartree-Fock (RBHF) theory in the full Dirac space allows one to determine uniquely the momentum dependence of scalar and vector components of the single-particle potentials. In order to extend this new method from nuclear matter to finite nuclei, as a first step, properties of ${}^{208}$Pb are explored by using the microscopic equation of state for asymmetric nuclear matter and a liquid droplet model. The neutron and proton density distributions, the binding energies, the neutron and proton radii, and the neutron skin thickness in ${}^{208}$Pb are calculated. In order to further compare the charge densities predicted from the RBHF theory in the full Dirac space with the experimental charge densities, the differential cross sections and the electric charge form factors in the elastic electron-nucleus scattering are obtained by using the phase-shift analysis method. The results from the RBHF theory are in good agreement with the experimental data. In addition, the uncertainty arising from variations of the surface term parameter $f_0$ in the liquid droplet model is also discussed.

References in corpus (16)

• Accurate Determination of the Neutron Skin Thickness of ${}^{208}$Pb through Parity-Violation in Electron Scattering
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Implications of PREX-II on the equation of state of neutron-rich matter
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• Neutron Stars and the Nuclear Equation of State
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations
• Theoretical study of elastic electron scattering off stable and exotic nuclei
• Beyond-mean-field study of the possible "bubble" structure of 34Si
• Nuclear matter in relativistic Brueckner-Hartree-Fock theory with Bonn potential in the full Dirac space
• The neutron skin of ${}^{208}$Pb and the density dependence of the symmetry energy
• Electron scattering in isotonic chains as a probe of the proton shell structure of unstable nuclei
• Equation of state of nuclear matter from empirical constraints
• Asymmetric Nuclear Matter and Neutron Star Properties in Relativistic ab initio Theory in the Full Dirac Space
• Nuclear Matter and Neutron Stars from Relativistic Brueckner-Hartree-Fock Theory
• Exploring universal characteristics of neutron star matter with relativistic \textit{ab initio} equations of state

Cited by in corpus (3)

• Microscopic optical potential from the relativistic Brueckner-Hartree-Fock theory: Proton-nucleus scattering
• Rotating Neutron Stars with the Relativistic Ab Initio Calculations
• In-medium nucleon-nucleon cross sections from relativistic ab initio calculations