The information content of a new observable: the case of the nuclear neutron skin

P.-G. Reinhard; W. Nazarewicz

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The information content of a new observable: the case of the nuclear neutron skin

P.-G. Reinhard, W. Nazarewicz

Nuclear Theory · Submitted 22 Feb 2010

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim By adding the information on the neutron radius to the pool of observables determining the energy functional, we show how precise experimental determination of the neutron radius in $^{208}$Pb would reduce theoretical uncertainties on the neutron matter equation of state.

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arXiv ID1002.4140 (version 2)

Pith IDJIMULBOJ, Pith's permanent record of this paper and its review

CitationP.-G. Reinhard, W. Nazarewicz. "The information content of a new observable: the case of the nuclear neutron skin." arXiv:1002.4140 (2010). https://pith.science/paper/JIMULBOJ

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,968 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.14 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We address two questions pertaining to the uniqueness and usefulness of a new observable: (i) Considering the current theoretical knowledge, what novel information does new measurement bring in? (ii) How can new data reduce uncertainties of current theoretical models? We illustrate these points by studying the radius of the neutron distribution of a heavy nucleus, a quantity related to the equation of state for neutron matter that determines properties of nuclei and neutron stars. By systematically varying parameters of two theoretical models and studying the resulting confidence ellipsoid, we quantify the relationships between the neutron skin and various properties of finite nuclei and infinite nuclear matter. Using the covariance analysis, we identify observables and pseudo-observables that correlate, and do not correlate, with the neutron skin. By adding the information on the neutron radius to the pool of observables determining the energy functional, we show how precise experimental determination of the neutron radius in $^{208}$Pb would reduce theoretical uncertainties on the neutron matter equation of state.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We address two questions pertaining to the uniqueness and usefulness of a new observable: (i) Considering the current theoretical knowledge, what novel information does new measurement bring in?	background 0.55	0.13	0.03	unclear 0.96
s1	(ii) How can new data reduce uncertainties of current theoretical models?	background 0.63	0.08	0.03	unclear 0.97
s2	We illustrate these points by studying the radius of the neutron distribution of a heavy nucleus, a quantity related to the equation of state for neutron matter that determines properties of nuclei and neutron stars.	contribution 0.65	0.44	0.06	asserted 0.98
s3	By systematically varying parameters of two theoretical models and studying the resulting confidence ellipsoid, we quantify the relationships between the neutron skin and various properties of finite nuclei and infinite nuclear matter.	method 0.95	0.93	0.07	asserted 1.00
s4	Using the covariance analysis, we identify observables and pseudo-observables that correlate, and do not correlate, with the neutron skin.	method 0.52	0.94	0.10	asserted 1.00
s5	By adding the information on the neutron radius to the pool of observables determining the energy functional, we show how precise experimental determination of the neutron radius in $^{208}$Pb would reduce theoretical uncertainties on the neutron matter equation of state.	result 0.68	0.90	0.66	asserted 1.00

What kind of paper the classifier reports this is: simulation study 0.59 · evidence from simulation or computation 0.98.

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We address two questions pertaining to the uniqueness and usefulness of a new observable: (i) Considering the current theoretical knowledge, what novel information does new measurement bring in? (ii) How can new data reduce uncertainties of current theoretical models? We illustrate these points by studying the radius of the neutron distribution of a heavy nucleus, a quantity related to the equation of state for neutron matter that determines properties of nuclei and neutron stars. By systematically varying parameters of two theoretical models and studying the resulting confidence ellipsoid, we quantify the relationships between the neutron skin and various properties of finite nuclei and infinite nuclear matter. Using the covariance analysis, we identify observables and pseudo-observables that correlate, and do not correlate, with the neutron skin. By adding the information on the neutron radius to the pool of observables determining the energy functional, we show how precise experimental determination of the neutron radius in $^{208}$Pb would reduce theoretical uncertainties on the neutron matter equation of state.

Human review

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Average CsI neutron density distribution from COHERENT data
hep-ph 2017-10 conditional novelty 6.0 of 10

A least-squares fit to COHERENT's CsI coherent neutrino scattering data yields an average neutron rms radius of 5.5 (+0.9/-1.1) fm for 133Cs and 127I, the first such determination from neutrino scattering.
Disentangling the neutron skin of $^{48}$Ca from nuclear radius effects through $^{48}$Ca+$^{48}$Ca and $^{48}$Ti+$^{48}$Ti flow observables
nucl-th 2026-10 conditional novelty 5.0 of 10

In AMPT simulations, the 48Ca neutron skin changes particle flow by reshaping the initial geometry, and the clearest traces appear in second-moment and shape-size correlation observables.

How later papers used it

68 later papers cite it

Evidence: substantial. 54 of the citing papers share no author with it, and 11 of those carry a confident label from Pith's citation classifier.

Pith read 17 of the 125 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

1 later paper by other authors is listed below: 1 used its method or tool.

Uses its method or tool 1 of 5 papers with this label

Employed a statistical chi-square based covariance approach from this paper in the Skyrme framework to study correlations of neutron star tidal deformability with the nuclear matter parameters.

Unveiling the correlations of tidal deformability with the nuclear symmetry energy parameters (2020) · 1.00 · paraphrased: the licence does not allow quoting

How the literature uses it

10 arXiv papers cite this in 15 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 12 sentences without a confident label

Cites it as background 3 papers

This correlation was explored more than 30 years ago [ref] , and then in Ref. [ref] (see especially Table 2 of that article); it has subsequently been revisited several times, e.g., Refs. [ref] .

Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter · The $J$ and $L$ coefficients · 0.81
In addition, the $α_D$ is known as an important isovector indicator [ref] .

Bayesian Inference of the Symmetry Energy and the Neutron Skin in $^{48}$Ca and $^{208}$Pb from CREX and PREX-2 · Introduction · 0.93
In particular, the corresponding rms radius $R_n$ and the difference between $R_n$ and the rms radius $R_p$ of the proton distribution (the so-called “neutron skin”) are crucial ingredients of the nuclear matter Equation of State (EOS), which plays an essential role in understanding several processes, like nuclei in laboratory experiments, heavy ion collisions, and the structure and evolution of compact astrophysical objects as neutron stars (see Refs. [ref] ).

Average CsI neutron density distribution from COHERENT data · Introduction · 0.82

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