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Information and statistics: a new paradigm in theoretical nuclear physics
Nuclear Theory · Submitted 3 Jul 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this contribution we use maximum-likelihood estimation to compute theoretical errors and assess correlations between physical observables.
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The abstract, sentence by sentence
Theoretical predictions of physical observables often involve extrapolations to regions that are poorly constrained by laboratory experiments and astrophysical observations. Without properly quantified theoretical errors, such model predictions are of very limited utility. In this contribution we use maximum-likelihood estimation to compute theoretical errors and assess correlations between physical observables. We illustrate the power and elegance of these methods using examples of both pedagogical and realistic interest. In particular, we implement a gaussian approximation to the likelihood function to develop a new relativistic effective interaction constrained by ground-state properties of finite nuclei, their monopole response, and masses of neutron stars.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Theoretical predictions of physical observables often involve extrapolations to regions that are poorly constrained by laboratory experiments and astrophysical observations. | background 0.99 | 0.05 | 0.03 | asserted 0.96 |
| s1 | Without properly quantified theoretical errors, such model predictions are of very limited utility. | background 0.64 | 0.05 | 0.06 | asserted 1.00 |
| s2 | In this contribution we use maximum-likelihood estimation to compute theoretical errors and assess correlations between physical observables. | method 0.68 | 0.96 | 0.18 | asserted 1.00 |
| s3 | We illustrate the power and elegance of these methods using examples of both pedagogical and realistic interest. | contribution 0.67 | 0.68 | 0.08 | asserted 1.00 |
| s4 | In particular, we implement a gaussian approximation to the likelihood function to develop a new relativistic effective interaction constrained by ground-state properties of finite nuclei, their monopole response, and masses of neutron stars. | method 0.67 | 0.95 | 0.18 | asserted 1.00 |
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The paper
Original abstract
Theoretical predictions of physical observables often involve extrapolations to regions that are poorly constrained by laboratory experiments and astrophysical observations. Without properly quantified theoretical errors, such model predictions are of very limited utility. In this contribution we use maximum-likelihood estimation to compute theoretical errors and assess correlations between physical observables. We illustrate the power and elegance of these methods using examples of both pedagogical and realistic interest. In particular, we implement a gaussian approximation to the likelihood function to develop a new relativistic effective interaction constrained by ground-state properties of finite nuclei, their monopole response, and masses of neutron stars.
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How the literature uses it
2 arXiv papers cite this in 6 sentences
Papers citing it · 3 sentences without a confident label
Uses its method or tool 2 papers
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We follow closely the approach developed in Ref. [ref] that starts from a gaussian approximation to a suitably defined likelihood function.
Building relativistic mean field models for finite nuclei and neutron stars · Introduction · 1.00
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We then performed a covariance analysis to find the uncertainties of $η$ and $γ$ corresponding to a $±1σ$ error band using the method reviewed recently in Refs. [ref] .
Symmetry Energy of Nucleonic Matter With Tensor Correlations · Introduction · 0.97
Cites it as background 1 paper
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Most of the formalism required for the use of information and statistics in theoretical nuclear physics may be found in [ref] and in references contained therein.
Building relativistic mean field models for finite nuclei and neutron stars · Optimization and Covariance Analysis · 0.89
What it cites · 30 sentences without a confident label
Uses the method or tool of 3 papers
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All the physical observables that will be used in the calibration procedure will be computed using the interaction Lagrangian density of Ref. [ref] —properly supplemented by a mixed isoscalar-isovector term [ref] .
Neutron Star Structure and the Neutron Radius of 208Pb · Relativistic Energy Density Functional: Calibration and Correlations · 0.81
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All the physical observables that will be used in the calibration procedure will be computed using the interaction Lagrangian density of Ref. [ref] —properly supplemented by a mixed isoscalar-isovector term [ref] .
Neutron-Rich Nuclei in Heaven and Earth · Relativistic Energy Density Functional: Calibration and Correlations · 0.81
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All the physical observables that will be used in the calibration procedure will be computed using the interaction Lagrangian density of Ref. [ref] —properly supplemented by a mixed isoscalar-isovector term [ref] .
Relativistic Mean-Field Theory and the High-Density Nuclear Equation of State · Relativistic Energy Density Functional: Calibration and Correlations · 0.81
Uses data or values from 6 papers
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Finally, from the recent observation of 2 solar-mass neutron stars [ref] , we incorporate in the calibration of the objective function a maximum neutron star mass of $2.1 M_⊙$.
Shapiro delay measurement of a two solar mass neutron star · Relativistic Energy Density Functional: Calibration and Correlations · 0.96
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Finally, from the recent observation of 2 solar-mass neutron stars [ref] , we incorporate in the calibration of the objective function a maximum neutron star mass of $2.1 M_⊙$.
A Massive Pulsar in a Compact Relativistic Binary · Relativistic Energy Density Functional: Calibration and Correlations · 0.96
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Given that most experimental masses have been measured with enormous precision, we adopt the same theoretical error as in Ref. [ref] of this focus issue.
Error Estimates of Theoretical Models: a Guide · Liquid Drop Model: Calibration and Correlations · 0.80
Compares with 1 paper
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Although obtained by different means, the extracted averages and errors are all fully consistent with those reported in Table 1 of Ref. [ref] .
Error Estimates of Theoretical Models: a Guide · Liquid Drop Model: Calibration and Correlations · 1.00
Cites as support 5 papers
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That is, $L$ is sensitive to a linear combination of parameters that defines a very soft direction in parameter space [ref] .
Accurate calibration of relativistic mean-field models: correlating observables and providing meaningful theoretical uncertainties · Introduction · 0.96
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That is, $L$ is sensitive to a linear combination of parameters that defines a very soft direction in parameter space [ref] .
Neutron skins and neutron stars · Introduction · 0.96
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An observable that has been shown to satisfy both of these requirements is the neutron-skin thickness of $^208$Pb [ref] .
Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment · Introduction · 0.97
Discussion
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