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

Abstract

Single-particle levels of seven magic nuclei are calculated within the Energy Density Functional (EDF) method by Fayans et al. Three versions of the EDF are used, the initial Fayans functional DF3 and its two variations, DF3-a and DF3-b, with different values of spin-orbit parameters. Comparison is made with predictions of the Skyrme-Hartree-Fock method with the HFB-17 functional. For the DF3-a functional, phonon coupling (PC) corrections to single-particle energies are found self-consistently with an approximate account for the tadpole diagram. Account for the PC corrections improves agreement with the data for heavy nuclei, e.g. for 208 Pb. On the other hand, for lighter nuclei, e.g. 40,48 Ca, PC corrections make the agreement a little worse. As estimations show, the main reason is that the approximation we use for the tadpole term is less accurate for the light nuclei.

14 pages, 16 figures, 15 tables

References in corpus (3)

• Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum
• Microscopic calculation and LDA of the spatial dependence of the pairing field with bare and induced interactions
• Effects of the particle-particle channel on properties of low-lying vibrational states

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• Phonon-particle coupling effects in odd-even mass differences of semi-magic nuclei
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