First applications of the Fayans functional to deformed nuclei

Abstract

First calculations for deformed nuclei using the Fayans functional are carried out for the uranium and lead isotopic chains. The ground state deformations and deformation energies are compared to Skyrme–Hartree–Fock–Bogolyubov HFB-17 and HFB-27 functional results. For the uranium isotopic chain, the Fayans functional property predictions are rather similar to HFB-17 and HFB-27 predictions. However, there is a disagreement for the lead isotopic chain. Both of the Skyrme HFB functionals lead to predictions of rather strong deformations for the light Pb isotopes, which does not agree with the experimental data on charge radii and magnetic moments of the odd Pb isotopes. On the other hand, the Fayans functional leads to the prediction of a spherical ground state for all of the lead isotopes, in accordance with the data and the results known from the literature obtained with the Gogny D1S force and the SLy6 functional as well. The deformation energy curves are calculated and compared against those derived from four Skyrme functionals—SLy4, Sly6, SkM* and UNEDF1—for the 238U nucleus and several lead-deficient Pb isotopes. In the first case, the resulting Fayans functional is rather close to SkM* and UNEDF1, which—in particular the latter—describe the first and second barriers in 238U rather well. For the light lead isotopes, the Fayans deformation energy curves are qualitatively close to those derived from the SLy6 functional.