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Instabilities of infinite matter with effective Skyrme-type interactions

Jerome Margueron·Jesus Navarro·Van Giai Nguyen
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Abstract

The stability of the equation of state predicted by Skyrme-type interactions is examined. We consider simultaneously symmetric nuclear matter and pure neutron matter. The stability is defined by the inequalities that the Landau parameters must satisfy simultaneously. A systematic study is carried out to define interaction parameter domains where the inequalities are fulfilled. It is found that there is always a critical density $ρ_{cr}$ beyond which the system becomes unstable. The results indicate in which parameter regions one can find effective forces to describe correctly finite nuclei and give at the same time a stable equation of state up to densities of 3-4 times the saturation density of symmetric nuclear matter.

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Jerome Margueron, Jesus Navarro, Van Giai Nguyen. 2002-04-11. Instabilities of infinite matter with effective Skyrme-type interactions. https://doi.org/10.1103/physrevc.66.014303

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