Phonon–particle coupling effects in odd–even mass differences of semi-magic nuclei
- Authors: Saperstein E.E.1,2, Baldo M.3, Pankratov S.S.1,4, Tolokonnikov S.V.1,4
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Affiliations:
- National Research Center Kurchatov Institute
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
- INFN, Sezione di Catania
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 106, No 9 (2017)
- Pages: 555-560
- Section: Fields, Particles, and Nuclei
- URL: https://journals.rcsi.science/0021-3640/article/view/160529
- DOI: https://doi.org/10.1134/S0021364017210032
- ID: 160529
Cite item
Abstract
A method to evaluate the particle–phonon coupling (PC) corrections to the single-particle energies in semi-magic nuclei, based on a direct solving the Dyson equation with PC corrected mass operator, is used for finding the odd–even mass difference between 18 even Pb isotopes and their odd-proton neighbors. The Fayans energy density functional (EDF) DF3-a is used which gives rather high accuracy of the predictions for these mass differences already on the mean-field level, with the average deviation from the existing experimental data equal to 0.389 MeV. It is only a bit worse than the corresponding value of 0.333 MeV for the Skyrme EDF HFB-17, which belongs to a family of Skyrme EDFs with the highest overall accuracy in describing the nuclear masses. Account for the PC corrections induced by the low-laying phonons 21+ and 31- significantly diminishes the deviation of the theory from the data till 0.218 MeV.
About the authors
E. E. Saperstein
National Research Center Kurchatov Institute; National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Author for correspondence.
Email: Sapershtein_EE@nrcki.ru
Russian Federation, Moscow, 123182; Moscow, 115409
M. Baldo
INFN, Sezione di Catania
Email: Sapershtein_EE@nrcki.ru
Italy, Catania, I-95125
S. S. Pankratov
National Research Center Kurchatov Institute; Moscow Institute of Physics and Technology (State University)
Email: Sapershtein_EE@nrcki.ru
Russian Federation, Moscow, 123182; Dolgoprudnyi, Moscow region, 141700
S. V. Tolokonnikov
National Research Center Kurchatov Institute; Moscow Institute of Physics and Technology (State University)
Email: Sapershtein_EE@nrcki.ru
Russian Federation, Moscow, 123182; Dolgoprudnyi, Moscow region, 141700
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