Non-empirical pairing energy density functional |
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Authors: | T. Lesinski T. Duguet K. Bennaceur J. Meyer |
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Affiliation: | (1) Université de Lyon - Lyon; Université Lyon 1 - Villeurbanne; CNRS/IN2P3; Institut de Physique Nucléaire de Lyon, Lyon, France;(2) CEA, Centre de Saclay, IRFU/Service de Physique Nucléaire, F-91191 Gif-sur-Yvette, France;(3) National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, 48824 East Lansing, MI, USA;(4) Present address: Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA |
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Abstract: | We perform systematic calculations of pairing gaps in semi-magic nuclei across the nuclear chart using the Energy Density Functional method and a non-empirical pairing functional derived, without further approximation, at lowest order in the two-nucleon vacuum interaction, including the Coulomb force. The correlated single-particle motion is accounted for by the SLy4 semi-empirical functional. Rather unexpectedly, both neutron and proton pairing gaps thus generated are systematically close to experimental data. Such a result further suggests that missing effects, i.e. higher partial waves of the NN interaction, the NNN interaction and the coupling to collective fluctuations, provide an overall contribution that is sub-leading as for generating pairing gaps in nuclei. We find that including the Coulomb interaction is essential as it reduces proton pairing gaps by up to 40%. |
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Keywords: | KeywordHeading" >PACS 21.60.Jz Nuclear Density Functional Theory and extensions (includes Hartree-Fock and random-phase approximations) 21.30.Cb Nuclear forces in vacuum 21.30.Fe Forces in hadronic systems and effective interactions 21.60.De Ab initio methods |
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