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- W2334871886 abstract "Background: The determination of the density dependence of the nuclear incompressibility can be investigated using the isoscalar giant monopole resonance.Purpose: The importance of the so-called crossing density at subsaturation density is underlined.Methods: 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 ${ensuremath{rho}}_{c}=0.1$ fm${}^{ensuremath{-}3}$.Results: 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, ${K}_{ensuremath{infty}}$, giving rise to an improved determination on the nuclear equation of state. The relationship between ${M}_{c}$ and ${K}_{ensuremath{infty}}$ is given as a function of the skewness parameter ${Q}_{ensuremath{infty}}$ associated with the density dependence of the equation of state. The large variation of ${Q}_{ensuremath{infty}}$ among different energy density functionals directly impacts the knowledge of ${K}_{ensuremath{infty}}$: A better knowledge of ${Q}_{ensuremath{infty}}$ is required to deduce more accurately ${K}_{ensuremath{infty}}$. 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.Conclusions: The measurement of the GMR constrains the slope of the incompressibility ${M}_{c}$ at the crossing density rather than the incompressibility modulus at the saturation density." @default.
- W2334871886 created "2016-06-24" @default.
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- W2334871886 date "2013-09-25" @default.
- W2334871886 modified "2023-09-30" @default.
- W2334871886 title "Determination of the density dependence of the nuclear incompressibility" @default.
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- W2334871886 doi "https://doi.org/10.1103/physrevc.88.034319" @default.
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