Isospin Dependent Pairing Interactions and BCS-BEC crossover

Journal Article · Tue Nov 11 04:00:00 EST 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3039817· OSTI ID:21254793

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

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

We propose new types of density dependent contact pairing interaction which reproduce the pairing gaps in symmetric and neutron matters obtained by a microscopic treatment based on the realistic nucleon-nucleon interaction. The BCS-BEC crossover of neutrons pairs in symmetric and asymmetric nuclear matters is studied by using these contact interactions. It is shown that the bare and screened pairing interactions lead to different features of the BCS-BEC crossover in symmetric nuclear matter. 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 these density-dependent pairing interactions. Our calculations well account for the experimental data for the neutron number dependence of binding energy, two neutrons separation energy, and odd-even mass staggering of these isotopes. Especially the interaction IS+IV Bare without the medium polarization effect gives satisfactory results for all the isotopes.

• OSTI ID: 21254793
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1072; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ASYMMETRY
BCS THEORY
BOSE-EINSTEIN CONDENSATION
CALCIUM ISOTOPES
ELECTRON PAIRS
HADRONIC ATOMS
HARTREE-FOCK-BOGOLYUBOV THEORY
ISOSPIN
ISOTONIC NUCLEI
LEAD ISOTOPES
MAGIC NUCLEI
MASS
NEUTRON SEPARATION ENERGY
NEUTRONS
NICKEL ISOTOPES
NUCLEAR MATTER
NUCLEON-NUCLEON INTERACTIONS
PAIRING INTERACTIONS
POLARIZATION
TIN ISOTOPES