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International Les Houches School on "Exotic Nuclei: New Challenges", Les Houches : France (2007)
Non-empirical pairing functional
T. Duguet1, 2, 3, T. Lesinski4

The present contribution reports the first systematic finite-nucleus calculations performed using the Energy Density Functional method and a non-empirical pairing functional derived from low-momentum interactions. As a first step, the effects of Coulomb and the three-body force are omitted while only the bare two-nucleon interaction at lowest order is considered. To cope with the finite-range and non-locality of the bare nuclear interaction, the 1S0 channel of Vlowk is mapped onto a convenient operator form. For the first time, neutron-neutron and proton-proton pairing correlations generated in finite nuclei by the direct term of the two-nucleon interaction are characterized in a systematic manner. Eventually, such predictions are compared to those obtained from empirical local functionals derived from density-dependent zero range interactions. The characteristics of the latter are analyzed in view of that comparison and a specific modification of their isovector density dependence is suggested to accommodate Coulomb effects and the isovector trend of neutron gaps at the same time.
1 :  ANL - Argonne National Laboratory
2 :  SPhT - Service de Physique Théorique
3 :  NSCL, MSU - National Superconducting Cyclotron Laboratory, Michigan State University
4 :  IPNL - Institut de Physique Nucléaire de Lyon
Physique/Physique Nucléaire Théorique
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