Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards a better knowledge of the nuclear equation of state from the
  isoscalar breathing mode   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.

25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: econ
16
The categories of this paper are: stat