761 articles – 7594 Notices  [english version]
 HAL : in2p3-00697623, version 1
 arXiv : 1204.1460
 Physical Review C 85 (2012) 044323
 Second-order equation of state with the full Skyrme interaction: toward new effective interactions for beyond mean-field models
 (2012)
 In a quantum Fermi system the energy per particle calculated at the second order beyond the mean-field approximation diverges if a zero-range interaction is employed. We have previously analyzed this problem in symmetric nuclear matter by using a simplified nuclear Skyrme interaction, and proposed a strategy to treat such a divergence. In the present work, we extend the same strategy to the case of the full nuclear Skyrme interaction. Moreover we show that, in spite of the strong divergence ($\sim$ $\Lambda^5$, where $\Lambda$ is the momentum cutoff) related to the velocity-dependent terms of the interaction, the adopted cutoff regularization can be always simultaneously performed for both symmetric and nuclear matter with different neutron-to-proton ratio. This paves the way to applications to finite nuclei.
 Thème(s) : Physique/Physique Nucléaire Théorique
 Lien vers le texte intégral : http://fr.arXiv.org/abs/1204.1460
 in2p3-00697623, version 1 http://hal.in2p3.fr/in2p3-00697623 oai:hal.in2p3.fr:in2p3-00697623 Contributeur : Sophie Heurteau <> Soumis le : Mardi 15 Mai 2012, 17:12:26 Dernière modification le : Mardi 22 Mai 2012, 17:10:52