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Non-empirical pairing energy density functional. First order in the nuclear plus Coulomb two-body interaction

Abstract : We perform systematic calculations of pairing gaps in semi-magic nuclei across the nuclear chart using the Energy Density Functional method and a {\it 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 indicates that missing effects, i.e. including the three-nucleon interaction and the coupling to collective fluctuations, are sub-leading as for generating superfluidity in finite nuclei. We find that including the Coulomb interaction is essential as it reduces proton pairing gaps by up to 40%.
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http://hal.in2p3.fr/in2p3-00322615
Contributor : Dominique Girod <>
Submitted on : Thursday, September 18, 2008 - 11:28:00 AM
Last modification on : Monday, February 10, 2020 - 6:12:40 PM

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T. Lesinski, T. Duguet, K. Bennaceur, J. Meyer. Non-empirical pairing energy density functional. First order in the nuclear plus Coulomb two-body interaction. European Physical Journal A, EDP Sciences, 2008, 40, pp.121-126. ⟨10.1140/epja/i2009-10780-y⟩. ⟨in2p3-00322615⟩

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