Nuclear matter incompressibility coefficient in relativistic and nonrelativistic microscopic models

Abstract

We systematically analyze the recent claim that nonrelativistic and relativistic mean field (RMF) based random phase approximation (RPA) calculations for the centroid energy E_0 of the isoscalar giant monopole resonance yield for the nuclear matter incompressibility coefficient, K_{nm}, values which differ by about 20%. For an appropriate comparison with the RMF based RPA calculations, we obtain the parameters for the Skyrme force used in the nonrelativistic model by adopting the same procedure as employed in the determination of the NL3 parameter set of an effective Lagrangian used in the RMF model. Our investigation suggest that the discrepancy between the values of K_{nm} predicted by the relativistic and nonrelativistic models is significantly less than 20%.

arXiv commentRevtex file (13 pages), appearing in PRC-Rapid Comm

References in corpus (6)

• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• A microscopic estimate of the nuclear matter compressibility and symmetry energy in relativistic mean-field models
• Relativistic Random-Phase Approximation with density-dependent meson-nucleon couplings
• The long journey from the giant-monopole resonance to the nuclear-matter incompressibility
• Isoscalar Giant Dipole Resonance and Nuclear Matter Incompressibility Coefficient
• Self-Consistent Hartree-Fock Based Random Phase Approximation And The Spurious State Mixing

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