Critical densities for the Skyrme type effective interactions

Abstract

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 adjusting appropriately the values of the enhancement factor $\kappa$ associated with isovector giant dipole resonance, the quantity $L$ which is directly related to the slope of the symmetry energy and the Landau parameter $G_0^{\prime }$. However, restricting $\kappa$, $L$ and $G_0^{\prime }$ to vary within acceptable limits reduces the maximum value for the critical density ${\tilde{\rho }}_{cr}$ by $\sim 25$. We also show that among the various quantities characterizing the symmetric nuclear matter, ${\tilde{\rho }}_{cr}$ depends strongly on the isoscalar effective mass $m^{\ast }/m$ and surface energy coefficient $E_s$. For realistic values of $m^{\ast }/m$ and $E_s$ we get ${\tilde{\rho }}_{cr}=2{\rho }_0$ to $3{\rho }_0$ (${\rho }_0=0.16$fm${}^{-3}$).

10 pages, 3 figures. Physicsl Review C (in press)

References in corpus (3)

• Shape Coexistence and the Effective Nucleon-Nucleon Interaction
• Gamow-Teller strength and the spin-isospin coupling constants of the Skyrme energy functional
• Instabilities of infinite matter with effective Skyrme-type interactions

Cited by in corpus (5)

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• From finite nuclei to the nuclear liquid drop: leptodermous expansion based on the self-consistent mean-field theory
• Spin and spin-isospin instabilities in asymmetric nuclear matter at zero and finite temperatures using Skyrme functionals
• Two-fluid models of superfluid neutron star cores
• Energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter properties