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.
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Published in Russian in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2017, Vol. 106, No. 9, pp. 539–544.
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Saperstein, E.E., Baldo, M., Pankratov, S.S. et al. Phonon–particle coupling effects in odd–even mass differences of semi-magic nuclei. Jetp Lett. 106, 555–560 (2017). https://doi.org/10.1134/S0021364017210032
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DOI: https://doi.org/10.1134/S0021364017210032