Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Including particle-vibration coupling in the Fayans functional. Odd-even
  mass differences of semi-magic nuclei   A method to evaluate the particle-phonon coupling (PC) corrections to the
single-particle energies in semi-magic nuclei, based on the direct solution of
the Dyson equation with PC corrected mass operator, is presented. It is used
for finding the odd-even mass difference between even Pb and Sn isotopes and
their odd-proton neighbors. The Fayans energy density functional (EDF) DF3-a is
used which gives rather highly accurate predictions for these mass differences
already at the mean-field level. In the case of the lead chain, account for the
PC corrections induced by the low-laying phonons $2^+_1$ and $3^-_1$ makes
agreement of the theory with the experimental data significantly better. For
the tin chain, the situation is not so definite. In this case, the PC
corrections make agreement better in the case of the addition mode but they
spoil the agreement for the removal mode. We discuss the reason of such a
discrepancy.

31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex