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: email@example.com
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.
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