# Determination of the density dependence of the nuclear incompressibility

Abstract : The measurements of the isoscalar giant monopole resonance (GMR), also called the breathing mode, are analyzed with respect to their constraints on the quantity $M_c$, e.g. the density dependence of the nuclear incompressibility around the so-called crossing density $\rho_c$=0.1 fm$^{-3}$. The correlation between the centroid of the GMR, $E_\mathrm{GMR}$, and $M_c$ is shown to be more accurate than the one between $E_\mathrm{GMR}$ and the incompressibility modulus at saturation density, $K_\infty$, giving rise to an improved determination on the nuclear equation of state. The relationship between $M_c$ and $K_\infty$ is given as a function of the skewness parameter $Q_\infty$ associated to the density dependence of the equation of state. The large variation of $Q_\infty$ among different energy density functionnals directly impacts the knowledge of $K_\infty$: a better knowledge of $Q_\infty$ is required to deduce more accurately $K_\infty$. Using the Local Density Approximation, a simple and accurate expression relating $E_\mathrm{GMR}$ and the quantity $M_c$ is derived and successfully compared to the fully microscopic predictions.
Document type :
Journal articles

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Submitted on : Tuesday, April 30, 2013 - 11:54:48 AM
Last modification on : Friday, June 18, 2021 - 3:39:55 AM

### Citation

E. Khan, J. Margueron. Determination of the density dependence of the nuclear incompressibility. Physical Review C, American Physical Society, 2013, 88, pp.034319. ⟨10.1103/PhysRevC.88.034319⟩. ⟨in2p3-00819167⟩

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