Nuclear ground-state properties in a relativistic Meson-Field theory

Abstract

We investigate the ability of a relativistic Mean-Field theory to reproduce nuclear ground state properties by an exhaustive fit to experimental data. We find that the bulk properties of nuclei from 160 to 2~ can be adjusted very well. There remain problems with level density and fluctuations in the charge density similar as in fits using the conventional Skyrme Hartree-Fock model.

Scaling calculation of isoscalar giant resonances in relativistic Thomas–Fermi theory

“…[52] and L0 from Ref. [43]. The bulk incompressibility of these sets spans a wide range of values, from ∼ 175 to 625 MeV.…”

Description of158Er at ultrahigh spin in nuclear density functional theory

“…In the CRMF calculations, all fermionic and bosonic states belonging to the shells up to N F = 14 and N B = 20 are taken into account in the diagonalization of the Dirac equation and the matrix inversion of the Klein-Gordon equations, respectively. The NL1 [25] and NL3* [26] parametrizations are used for the RMF Lagrangian; according to the recent study [27] these sets provide a reasonable description of the deformed single-particle energies. In the CSHF calculation, we use the symmetry unrestricted Hartree-Fock solver HFODD (v2.49) [28] and the SkM* energy density functional [29], which gives reasonable results in this mass region [20].…”

A semiclassical approach to relativistic nuclear mean field theory

“…The non-linear model has been widely used in the recent applications (see e.g. [Re86,Ga90a] and [Bo83a, Bo83b, G183, Bo84b, We89, Hi91]), inasmuch as it yields a successful description of the surface and ground-state properties of finite nuclei (e.g., binding energies, spin-orbit splittings, density distributions, r.m.s. radii or isotope shifts).…”

“…The coupling constants and some meson masses of the effective meson-nucleon Lagrangian are taken as free parameters, which are adjusted to fit the properties of nuclear matter and finite nuclei. Most calculations have been done in mean field Hartree approximation, neglecting exchange terms and without including any contribution from antiparticles [HoSlb,Re86,GaQOa]. For a review of relativistic nuclear mean field theory, we refer advantage of being fully relativistic and thus automatically incorporating the spin-orbit force, which is of fundamental importance in nuclear structure physics.…”