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Infinite matter properties and zero-range limit of nonrelativistic finite-range interactions

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arxiv 1607.00835 v2 pith:S77MRCR3 submitted 2016-07-04 nucl-th

D. Davesne , P. Becker , A. Pastore , J. Navarro This is my paper · ORCID
classification nucl-th
keywords interactionsinteractionmatterzero-rangecentraldeduceddiscussfinite-range
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We discuss some infinite matter properties of two finite-range interactions widely used for nuclear structure calculations, namely Gogny and M3Y interactions. We show that some useful informations can be deduced for the central, tensor and spin-orbit terms from the spin-isospin channels and the partial wave decomposition of the symmetric nuclear matter equation of state. We show in particular that the central part of the Gogny interaction should benefit from the introduction of a third Gaussian and the tensor parameters of both interactions can be deduced from special combinations of partial waves. We also discuss the fact that the spin-orbit of the M3Y interaction is not compatible with local gauge invariance. Finally, we show that the zero-range limit of both families of interactions coincides with the specific form of the zero-range N3LO Skyrme interaction and we emphasize from this analogy the benefits of N3LO.

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  1. Extended Skyrme effective interactions with higher-order momentum-dependence for transport models and neutron stars

    nucl-th 2024-12 conditional novelty 6.0 of 10

    The authors generalize the Skyrme pseudopotential to N5LO with p^10 momentum dependence, fit it to the optical potential up to 2 GeV, and show the resulting interactions reproduce HADES proton flow data.

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