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

2012/06/30 by E. E. Saperstein, M. Baldo, N. V. Gnezdilov +2 · 1 citation
Physics and Astronomy · #nucl-th

paper · pdf · doi:10.1051/epjconf/20123805002

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

arxiv created 2012/07/27 · arxiv updated 2015/06/05

Abstract

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 Δbeing 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.

Cited by

• Phonon contributions to ab initio double mass differences of magic nuclei

Related

• Odd-even mass differences in self-consistent Mean-Field calculations
• The mass of odd-odd nuclei in microscopic mass models
• Odd-even mass difference and isospin dependent pairing interaction
• Odd-even mass differences of well and rigidly deformed nuclei in the rare earth region: A test of a newly proposed fit of average pairing matrix elements
• Description of Excitations in Odd Non-magic Nuclei by the Green's Function Method