S. V. Tolokonnikov

Description of superheavy nuclei on the basis of a modified version of the DF3 energy functional

The possibility of describing nuclei of the uranium and transuranium region within the generalized method of the energy functional proposed by Fayans and his coauthors is studied. It turned out that, in the functional DF3, it is necessary, for this purpose, to modify the spin-orbit terms whose parameters were chosen in such a way as to describe the binding energies and charge radii of spherical nuclei from calcium to lead. The modified functional (DF3-a) describes well the energy features and charged radii for isotopic chains of uranium and neighboring elements. For deformed nuclei, the deformation was taken into account approximately. The nucleon-drip-line position obtained for these chains proved to be close to the predictions of one of the most successful calculations by the Skyrme-Hartree-Fock method with the HFB-17 functional. It is verified that the use of the functional DF3-a does not impair the description of the properties of lighter nuclei, for which the functional DF3 was devised. Moreover, the modified functional describes better, than the original one, new data on spin-orbit splitting in magic and semimagic nuclei. The calculation with the functional DF3-a confirms the doubly magic nature of the superheavy nuclide 114298X184. As for the neutron-separation energies Sn along the isotopic chain of this element, our results are close to the predictions of the so-called micro-macro method.

Magnetic moments of spherical nuclei: Status of the problem and unsolved issues

Dipole magnetic moments of more than 100 odd spherical nuclei are calculated within the theory of finite Fermi systems. For the effective interaction of nucleons within the theory of finite Fermi systems, use is made of a version that takes into account nuclear-medium-modified amplitudes for the exchange of one pion and one rho meson. A new tensor local charge ζt is incorporated in the theory of finite Fermi systems in addition to the known orbital (ζl) and spin (ζs) local charges. Good agreement with experimental data, at a level of 0.1 to 0.2μN, is obtained for the overwhelming majority of the nuclei considered here. Several cases of a significant discrepancy with experimental data, at a level of 0.3 to 0.5μN, are revealed. Possibilities for removing these discrepancies are discussed. A detailed comparison with known results obtained within the multiparticle shell model is performed for 2p-to 1f-shell nuclei. Cases where the standard theory of finite Fermi systems must be extended by taking into account multiparticle configurations are found. Magnetic moments are analyzed for a number of long isotopic chains. Several new experimental values of magnetic moments for copper isotopes far from the beta-stability valleys are known. For the example of the copper-isotope chain, it is shown how the emergence of a deformation in the ground state of a nucleus can be revealed on the basis of a systematic analysis of magnetic moments.

Effects of density dependence of the effective pairing interaction on the first 2+ excitations and quadrupole moments of odd nuclei

Excitation energies and transition probabilities of the first

High-energy ion generation by short laser pulses

2^+

Nuclear reactions triggered by laser-accelerated high-energy ions

excitations in even tin and lead isotopes as well as the quadrupole moments of odd neighbors of these isotopes are calculated within the self-consistent Theory of Finite Fermi Systems based on the Energy Density Functional by Fayans et al. The effect of the density dependence of the effective pairing interaction is analyzed in detail by comparing results obtained with volume and surface pairing. The effect is found to be noticeable. For example, the

Self-consistent description of single-particle levels of magic nuclei

2^+

Self-consistent theory of finite Fermi systems and radii of nuclei

-energies are systematically higher at 200-300 keV for the volume paring as compared with the surface pairing case. But on the average both models reasonably agree with the data. Quadrupole moments of odd-neutron nuclei are very sensitive to the single-particle energy of the state

Modification of the energy functional for nuclei near the nucleon stability boundary

\lambda

The role of the boundary conditions in the Wigner–Seitz approximation applied to the neutron star inner crust

under consideration due to the Bogolyubov factor (

Pion production under the action of intense ultrashort laser pulse on a solid target

u^2_{\lambda}-v^2_{\lambda}