Polarization of the nuclear surface in deformed nuclei

Abstract

The density profiles of around 750 nuclei are analyzed using the Skyrme energy density functional theory. Among them, more than 350 nuclei are found to be deformed. In addition to rather standard properties of the density, we report a non-trivial behavior of the nuclear diffuseness as the system becomes more and more deformed. Besides the geometric effects expected in rigid body, the diffuseness acquires a rather complex behavior leading to a reduction of the diffuseness along the main axis of deformation simultaneously with an increase of the diffuseness along the other axis. The possible isospin dependence of this polarization is studied. This effect, that is systematically seen in medium- and heavy-nuclei, can affect the nuclear dynamical properties. A quantitative example is given with the fusion barrier in the ${}^{40}$Ca+ ${}^{238}$U reaction.

arXiv comment8 pages, 13 figures

References in corpus (13)

• Neutron Star Structure and the Neutron Radius of 208Pb
• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei
• Global study of quadrupole correlation effects
• Odd-even mass differences from self-consistent mean-field theory
• The role of surface energy coefficients and nuclear surface diffuseness in the fusion of heavy-ions
• Effects of nuclear deformation and neutron transfer in capture process, and origin of fusion hindrance at deep sub-barrier energies
• Simple Formula for Nuclear Charge Radius
• Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations
• Peculiarities of sub-barrier fusion with quantum diffusion approach
• Systematic of isovector and isoscalar giant quadrupole resonances in normal and superfluid spherical nuclei
• Deformation parameter for diffuse density
• Hartree-Fock+BCS approach to unstable nuclei with the Skyrme force

Cited by in corpus (9)

• Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes
• Systematics of nucleon density distributions and neutron skin of nuclei
• Evidence of Hexadecapole Deformation in Uranium-238 at the Relativistic Heavy Ion Collider
• Experimental searches for rare alpha and beta decays
• Systematic of isovector and isoscalar giant quadrupole resonances in normal and superfluid deformed nuclei
• Large enhancement of total reaction cross sections at the edge of the island of inversion in Ti, Cr, and Fe isotopes
• Reappraisal of the limit on the variation in $\alpha$ implied by Oklo
• Manifestation of deformation and nonlocality in $\alpha$ and cluster decay
• Theoretical study on nuclear structure by the multiple Coulomb scattering and magnetic scattering of relativistic electrons