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


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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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