Self-consistent description of single-particle levels of magic nuclei. Gnezdilov, N. V., Borzov, I. N., Saperstein, E. E., & Tolokonnikov, S. V. Physical Review C - Nuclear Physics, 2014.
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Single-particle levels of seven magic nuclei are calculated within the energy density functional (EDF) method by Fayans [Nucl. Phys. A 676, 49 (2000)NUPABL0375-947410.1016/S0375-9474(00)00192-5]. 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. Accounting for the PC corrections improves the agreement with the data for heavy nuclei, e.g., for 208Pb. On the other hand, for lighter nuclei, e.g., 40,48Ca, 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 light nuclei. \textcopyright 2014 American Physical Society.
@article{Gnezdilov2014,
abstract = {Single-particle levels of seven magic nuclei are calculated within the energy density functional (EDF) method by Fayans [Nucl. Phys. A 676, 49 (2000)NUPABL0375-947410.1016/S0375-9474(00)00192-5]. 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. Accounting for the PC corrections improves the agreement with the data for heavy nuclei, e.g., for 208Pb. On the other hand, for lighter nuclei, e.g., 40,48Ca, 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 light nuclei. {\textcopyright} 2014 American Physical Society.},
author = {Gnezdilov, N. V. and Borzov, I. N. and Saperstein, E. E. and Tolokonnikov, S. V.},
doi = {10.1103/PhysRevC.89.034304},
issn = {1089490X},
journal = {Physical Review C - Nuclear Physics},
number = {3},
title = {{Self-consistent description of single-particle levels of magic nuclei}},
volume = {89},
year = {2014}
}

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