Effective pairing interactions with isospin density dependence

Journal Article · Thu May 15 00:00:00 EDT 2008 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.77.054309· OSTI ID:21189975

Margueron, J ^[1]; Sagawa, H ^[2]; Hagino, K ^[3]

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1. Institut de Physique Nucleaire, IN2P3-CNRS and Universite Paris-Sud, F-91406 Orsay Cedex (France)
2. Center for Mathematical Sciences, University of Aizu, Aizu-Wakamatsu, 965-8580 Fukushima (Japan)
3. Department of Physics, Tohoku University, Sendai, 980-8578 (Japan)

We perform Hartree-Fock-Bogoliubov (HFB) calculations for semi-magic calcium, nickel, tin, and lead isotopes and N=20,28,50, and 82 isotones using density-dependent pairing interactions recently derived from a microscopic nucleon-nucleon interaction. These interactions have an isovector component so that the pairing gaps in symmetric and neutron matter are reproduced. Our calculations well account for the experimental data for the neutron number dependence of binding energy, two-neutron separation energy, and odd-even mass staggering of these isotopes. This result suggests that by introducing the isovector term in the pairing interaction, one can construct a global effective pairing interaction that is applicable to nuclei in a wide range of the nuclear chart. It is also shown with the local density approximation that the pairing field deduced from the pairing gaps in infinite matter reproduces qualitatively well the pairing field for finite nuclei obtained with the HFB method.

• OSTI ID: 21189975
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 77, Issue 5; Other Information: DOI: 10.1103/PhysRevC.77.054309; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
BINDING ENERGY
CALCIUM ISOTOPES
COMPUTERIZED SIMULATION
DENSITY
HARTREE-FOCK-BOGOLYUBOV THEORY
ISOSPIN
ISOTONIC NUCLEI
ISOVECTORS
LEAD ISOTOPES
MASS
NEUTRON SEPARATION ENERGY
NEUTRONS
NICKEL ISOTOPES
NITROGEN 20
NUCLEAR MATTER
NUCLEON-NUCLEON INTERACTIONS
ODD-EVEN NUCLEI
PAIRING INTERACTIONS
TIN ISOTOPES