Second-order equation of state with the full Skyrme interaction: toward new effective interactions for beyond mean-field models

Abstract

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.

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References in corpus (4)

• Particle-vibration coupling within covariant density functional theory
• Collective nuclear excitations with Skyrme-Second RPA
• Variational multiparticle-multihole configuration mixing method applied to pairing correlations in nuclei
• Beyond-mean-field theories with zero-range effective interactions. A way to handle the ultraviolet divergence

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