We define the Dirac-Fock current to hold the current conservation in the momentumdependent Dirac fields, and discuss its effect on the magnetic-moment in the nuclear matter. It is shown that the Dirac-Fock current can largely reduce the magneticmoment even in the isovector case, whose value has been too big due to the small effective mass in the usual relativistic Hartree approximation.

The optimized effective potential equations for atoms have been solved by parametrizing the potential. The expansion is tailored to match the known asymptotic behaviour of the effective potential at both short and long distances. Both single configuration and multi-configuration trial wavefunctions are implemented. Applications to several atomic systems are presented, improving on previous work...

Superdeformed states in light N = Z nuclei are studied by means of the self-consistent cranking calculation (i.e., the P+QQ model based on the cranked Hartree-Fock-Bogoliubov method). Analyses are given for two typical cases of superdeformed bands in the A 40 mass region, that is, bands where backbending is absent (40Ca) or present (36Ar). Investigations are carried out particularly for the fol...

The global mass dependence of the nuclear symmetry energy asym(A) and its two basic ingredients due to the mean-level spacing ε(A) and effective strength of the isovector mean-potential κ(A) is studied within the Skyrme-Hartree-Fock model. In particular, our study determines the ratio of the surface-to-volume contributions to asym(A) to be rS/V ∼ 1.6 and reveals that after removing momentum-dep...

Density dependent relativistic Hartree-Fock theory has been extended to describe properties of exotic nuclei. The effects of Fock exchange terms and of πand ρmeson contributions are discussed. These effects are found to be more important for neutron rich nuclei than for nuclei near the valley of stability. PACS: 21.10.Dr, 21.10.Gv, 21.60.Jz, 24.10.Jv

In this paper, the tensor-structured numerical evaluation of the Coulomb and exchange operators in the Hartree-Fock equation is supplemented by the usage of recent quantized-TT (QTT) formats. It leads to O(log n) complexity at computationally extensive stages in the rank-structured calculation with the respective 3D Hartree and exchange potentials discretized on large n × n × n Cartesian grids....

Following the discovery of the superdeformed(SD) band in Zn, we calculate several low-lying SD bands in Zn using Relativistic Mean Field and Skyrme-Hartree-Fock models. Both models predict similar results, but still we can see some qualitative differences in the results of these two models, which are coming from the difference of the detail of single-particle levels.

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...

We consider the nonlinear elliptic system ><>: −∆u+ u− u − βvu = 0 in B, −∆v + v − v − βuv = 0 in B, u, v > 0 in B, u = v = 0 on ∂B, where N ≤ 3 and B ⊂ R is the unit ball. We show that, for every β ≤ −1 and k ∈ N, the above problem admits a radially symmetric solution (uβ , vβ) such that uβ − vβ changes sign precisely k times in the radial variable. Furthermore, as β → −∞, after passing to a s...