Theoretical understanding of the nuclear incompressibility: where do we stand ?

Abstract

The status of the theoretical research on the compressional modes of finite nuclei and the incompressibility $K_{\infty }$ of nuclear matter, is reviewed. It is argued that the recent experimental data on the Isoscalar Giant Monopole Resonance (ISGMR) allow extracting the value of $K_{\infty }$ with an uncertainity of about $\pm$ 12 MeV. Non-relativistic (Skyrme, Gogny) and relativistic mean field models predict for $K_{\infty }$ values which are significantly different from one another, namely $\approx$ 220-235 and $\approx$ 250-270 MeV respectively. It is shown that the solution of this puzzle requires a better determination of the symmetry energy at, and around, saturation. The role played by the experimental data of the Isoscalar Giant Dipole Resonance (ISGDR) is also discussed.

To appear in the proceedings of the COMEX1 conference (special issue of Nucl. Phys. A). Few changes and corrections compared to the previous version. General conclusion unchanged

Cited by in corpus (28)

• Skyrme Interaction and Nuclear Matter Constraints
• Exotic modes of excitation in atomic nuclei far from stability
• The Nuclear Symmetry Energy
• Postbounce evolution of core-collapse supernovae: Long-term effects of equation of state
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Nuclear rainbow scattering and nucleus-nucleus potential
• Pairing Vibrations Study with the Time-Dependent Hartree-Fock-Bogoliubov theory
• Accurate nuclear masses from a three parameter Kohn-Sham DFT approach (BCPM)
• The Giant Monopole Resonance in the Sn Isotopes: Why is Tin so "Fluffy"?
• Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited
• Giant resonances in exotic spherical nuclei within the RPA approach with the Gogny force
• The statistical multifragmentation model for liquid-gas phase transition with a compressible nuclear liquid
• The role of superfluidity in nuclear incompressibilities
• Continuum Random Phase Approximation for Relativistic Point Coupling Models
• "Bi-modal'' Isoscalar Giant Dipole Strength in ${}^{58}$Ni
• Nuclear equation of state at high baryonic density and compact star constraints
• The Giant Monopole Resonance in Pb isotopes
• Isoscalar monopole and dipole excitations of cluster states and giant resonances in ${}^{12}$C
• Nuclear incompressibility and sound speed in uniform matter and finite nuclei
• Toroidal, compressive, and $E1$ properties of low-energy dipole modes in ${}^{10}$Be
• Relativistic Chiral Hartree-Fock description of nuclear matter with constraints from nucleon structure and confinement
• Finite- to zero-range relativistic mean-field interactions
• Nuclear Incompressibility in Asymmetric Systems at Finite Temperature and Entropy
• Proton decay from the isoscalar giant dipole resonance in ${}^{58}$Ni
• Relativistic QRPA description of isoscalar compression modes in open-shell nuclei in the A$\approx$60 mass region
• Is bimodality a sufficient condition for a first order phase transition existence?
• Nuclear matter calculations with the phenomenological three-nucleon interaction
• A nonlinear classical model for the decay widths of Isoscalar Giant Monopole Resonances