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

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

2003-08-31

arxiv.org/abs/nucl-th/0309002v3

Physics

Nuclear Physics

Nuclear Theory

To appear in the proceedings of the COMEX1 conference (special issue of Nucl. Phys. A). Few changes and corrections compared t

Scientific paper

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.

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