Equation of state for dense nucleonic matter from metamodeling. I. Foundational aspects
By J. Margueron, R. Casali, F. Gulminelli. 2017
146 citations recorded by the source corpus.
A metamodeling for the nucleonic equation of state (EOS), inspired from a Taylor expansion around the saturation density of symmetric nuclear matter, is proposed and parameterized in terms of the empirical parameters. The present knowledge of nuclear empirical parameters is first reviewed in order to estimate their average values and associated uncertainties, and thus defining the parameter space of the metamodeling. They are divided into isoscalar and isovector type, and ordered according to their power in the density expansion. The goodness of the metamodeling is analyzed against the predictions of the original models. In addition, since no correlation among the empirical parameters is assumed a priori, all arbitrary density dependences can be explored, which might not be accessible in existing functionals. Spurious correlations due to the assumed functional form are also removed. This meta-EOS allows direct relations between the uncertainties on the empirical parameters and the density dependence of the nuclear equation of state and its derivatives, and the mapping between the two can be done with standard Bayesian techniques. A sensitivity analysis shows that the more influential empirical parameters are the isovector parameters $L_{sym}$ and $K_{sym}$, and that laboratory constraints at super-saturation densities are essential to reduce the present uncertainties. The present metamodeling for the EOS for nuclear matter is proposed for further applications in neutron stars and supernova matter.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e979db560a8e3ec01dc894cec64604ac28f47f47
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In Astronomy and Astrophysics
In Nuclear and High Energy Physics
Citations in the corpus
- A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation (2019, background): “More recently, a physically justified parameterization of the EOS was proposed as an alternative to polytropes (Margueron et al. 2018a,b).”
- A NICER View of PSR J0030+0451: Implications for the Dense Matter Equation of State (2019, methodology): “Baillot d’Etivaux et al. (2019) have performed a similar analysis using the parametrized EoS model of Margueron et al. (2018a, 2018b), inferring symmetry energy parameters, speed of sound profiles, and mass–radius bands.”