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Non-empirical pairing functional

Abstract : 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.
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http://hal.in2p3.fr/in2p3-00194847
Contributor : Sylvie Flores <>
Submitted on : Friday, December 7, 2007 - 3:14:47 PM
Last modification on : Tuesday, November 19, 2019 - 2:45:16 AM

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T. Duguet, T. Lesinski. Non-empirical pairing functional. International Les Houches School on "Exotic Nuclei: New Challenges", May 2007, Les Houches, France. pp.207-215, ⟨10.1140/epjst/e2008-00618-x⟩. ⟨in2p3-00194847⟩

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