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

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 2Δ, the gap Δbeing 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.

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

References in corpus (6)

• Microscopic calculation and LDA of the spatial dependence of the pairing field with bare and induced interactions
• Non-empirical pairing energy functional in nuclear matter and finite nuclei
• Microscopic evaluation of the pairing gap
• Semi-microscopic model of pairing in nuclei
• On limits of ab initio calculations of pairing gap in nuclei
• Funding Games: the Truth but not the Whole Truth

Cited by in corpus (4)

• Phonon contributions to ab initio double mass differences of magic nuclei
• Phonon-particle coupling effects in single-particle energies of semi-magic nuclei
• Phonon-particle coupling effects in odd-even double mass differences of semi-magic nuclei
• Phonon-particle coupling effects in odd-even double mass differences of magic nuclei