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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
K. Moghrabi1, M. Grasso1, X. Roca-Maza, G. Colo'

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.
1 :  IPNO - Institut de Physique Nucléaire d'Orsay
Physique/Physique Nucléaire Théorique
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