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

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 $2_1^{+}$ and $3_1^{-}$ significantly diminishes the deviation of the theory from the data till 0.218 MeV.

arXiv comment6 pages, 3 figures, 3 tables

References in corpus (7)

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• Phonon-particle coupling effects in single-particle energies of semi-magic nuclei

Cited by in corpus (1)

• Including particle-vibration coupling in the Fayans functional. Odd-even mass differences of semi-magic nuclei