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 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%.
Cite
@article{arxiv.0809.2895,
title = {Non-empirical pairing energy density functional. First order in the nuclear plus Coulomb two-body interaction},
author = {T. Lesinski and T. Duguet and K. Bennaceur and J. Meyer},
journal= {arXiv preprint arXiv:0809.2895},
year = {2010}
}
Comments
6 pages, 1 figure, accepted for publication in EPJA