Critical densities for the Skyrme type effective interactions Academic Article uri icon


  • We use the stability conditions of the Landau parameters for the symmetric nuclear matter and pure neutron matter to calculate the critical densities for the Skyrme type effective nucleon-nucleon interactions. We find that the critical density can be maximized by appropriately adjusting the values of the enhancement factor k associated with isovector giant dipole resonance, the quantity L, which is directly related to the slope of the symmetry energy, and the Landau parameter G′0. However, restricting k, L, and G′0 to vary within acceptable limits reduces the maximum value for the critical density ̃ρcr by ∼25%. We also show that among the various quantities characterizing the symmetric nuclear matter, ̃ρcr depends strongly on the isoscalar effective mass m*/m and surface energy coefficient Es. For realistic values of m*/m and Es, we get ̃ρcr= 2ρ0 to 3ρp0 (ρ0=0.16 fm -3).

author list (cited authors)

  • Agrawal, B. K., Shlomo, S., & Au, V. K.

citation count

  • 6

publication date

  • November 2004