https://doi.org/10.1051/epjconf/20123805002
An ab initio theory of double odd-even mass differences in nuclei
1 Kurchatov Institute, 123182, Moscow, Russia
2 INFN, Sezione di Catania, 64 Via S.-Sofia, I-95125 Catania, Italy
3 INFN-LNS and University of Catania, 44 Via S.-Sofia, I-95125 Catania, Italy
4 Moscow Institute of Physics and Technology, 123098 Moscow, Russia
a e-mail: saper@mbslab.kiae.ru
Two aspects of the problem of evaluating double odd-even mass differences D2 in semi-magic nuclei are studied related to existence of two components with different properties, a superfluid nuclear subsystem and a non-superfluid one. For the superfluid subsystem, the difference D2 is approximately equal to 2Δ, the gap Δ being the solution of the gap equation. For the non-superfluid subsystem, D2 is found by solving the equation for two-particle Green function for normal systems. Both equations under consideration contain the same effective pairing interaction. For the latter, the semi-microscopic model is used in which the main term calculated from the first principles is supplemented with a small phenomenological addendum containing one phenomenological parameter supposed to be universal for all medium and heavy atomic nuclei.
© Owned by the authors, published by EDP Sciences, 2012
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
