Instabilities of infinite matter with effective Skyrme-type interactions

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 ${\rho }_{cr}$ 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.

20 pages, 5 figures, submitted to Phys.Rev.C

References in corpus (4)

• Hyperon stars in the Brueckner-Bethe-Goldstone theory
• Spin susceptibility of neutron matter at zero temperature
• Spin polarized neutron matte and magnetic susceptibility within the Brueckner-Hartree-Fock approximation
• Neutrino propagation and spin zero sound in hot neutron matter with Skyrme interactions

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