Systematics of nucleon density distributions and neutron skin of nuclei

Abstract

Proton and neutron density profiles of 760 nuclei in the mass region of A=16-304are analyzed using the Skyrme energy density for the parameter set SLy4. Simple formulae are obtained to fit the resulting radii and diffuseness data. These formulae may be useful to estimate the values of the unmeasured radii, and especially in extrapolating charge radius values for nuclei which are far from the valley of stability or to perform analytic calculations for bound and/or scattering problems. The obtained neutron and proton root-mean-square radii and the neutron skin thicknesses are in agreement with the available experimental data.

14 pages,5 figures. arXiv admin note: text overlap with arXiv:1003.5225 by other authors

References in corpus (9)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Neutron density distributions from antiprotonic 208Pb and 209Bi atoms
• Analysis of bulk and surface contributions in the neutron skin of nuclei
• Microscopic study of Ca$+$Ca fusion
• Dynamical analysis on heavy-ion fusion reactions near Coulomb barrier
• Ground-state properties of even-even N=Z nuclei within the Hartree-Fock-BCS and Higher Tamm-Dancoff approaches
• Influence of the single-particle structure on the nuclear surface and the neutron skin
• Compressibility and equation of state of finite nuclei

Cited by in corpus (12)

• Removal Energies and Final State Interaction in Lepton Nucleus Scattering
• Optimum orientation versus orientation averaging description of cluster radioactivity
• Systematic trends of neutron skin thickness versus relative neutron excess
• Constraints on the nuclear symmetry energy and its density slope from the α decay process
• Anomalous Hyperfine Structure of the ${}^{229}$Th Ground-State Doublet in Muonic Atom
• Constraining the relativistic mean-field models from PREX-2 data: Effective forces revisited
• Light element ($Z=1,2$) production from spontaneous ternary fission of ${}^{252}$Cf
• Numerical simulation of dark atom interaction with nuclei
• The formation region of emitted $\alpha$ and heavier particles inside radioactive nuclei
• Do we understand the internal spaces of second quantized fermion and boson fields, with gravity included? Relation with strings theories
• Quark mass matrices inspired by a numerical relation
• Proceedings to the 27th Workshop "What Comes Beyond the Standard Models" Bled, July 8-17, 2024