English

An ab initio theory of double odd-even mass differences in nuclei

Nuclear Theory 2015-06-05 v2

Abstract

Two aspects of the problem of evaluating double odd-even mass differences D_2 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 D_2 is approximately equal to 2\Delta, the gap \Delta being the solution of the gap equation. For the non-superfluid subsystem, D_2 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.

Keywords

Cite

@article{arxiv.1206.2182,
  title  = {An ab initio theory of double odd-even mass differences in nuclei},
  author = {E. E. Saperstein and M. Baldo and N. V. Gnezdilov and U. Lombardo and S. S. Pankratov},
  journal= {arXiv preprint arXiv:1206.2182},
  year   = {2015}
}

Comments

7 pages, 10 figures, Report at Nuclear Structure and Related Topics, Dubna, Russia, July 2 - July 7, 2012