How tightly is nuclear symmetry energy constrained by unitary Fermi gas?

Bao-An Li; Bao-Jun Cai; Jun Xu; Nai-Bo Zhang; William G. Newton

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How tightly is nuclear symmetry energy constrained by unitary Fermi gas?

Nai-Bo Zhang, Bao-Jun Cai, Bao-An Li, William G. Newton, Jun Xu

Nuclear Theory · Submitted 10 Apr 2017

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

The authors' main claim However, it does not tightly constrain the correlation between the magnitude $E_{\rm{sym}}(\rho_0)$ and slope $L$ unless the curvature $K_{\rm{sym}}$ of the symmetry energy at saturation density $\rho_0$ is more precisely known.

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arXiv ID1704.02687 (version 2)

Pith IDFKA5I7M4, Pith's permanent record of this paper and its review

CitationBao-An Li, Bao-Jun Cai, Jun Xu, Nai-Bo Zhang, William G. Newton. "How tightly is nuclear symmetry energy constrained by unitary Fermi gas?." arXiv:1704.02687 (2017). https://pith.science/paper/FKA5I7M4

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,796 input tokens.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.86 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.30 · compares with prior results 0.29 · mentions code or data availability 0.02.

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We examine critically how tightly the density dependence of nuclear symmetry energy \esym is constrained by the universal equation of state (EOS) of the unitary Fermi gas $E_{\rm{UG}}(\rho)$ considering currently known uncertainties of higher order parameters describing the density dependence of the Equation of State of isospin-asymmetric nuclear matter. We found that $E_{\rm{UG}}(\rho)$ does provide a useful lower boundary for the \esym. However, it does not tightly constrain the correlation between the magnitude $E_{\rm{sym}}(\rho_0)$ and slope $L$ unless the curvature $K_{\rm{sym}}$ of the symmetry energy at saturation density $\rho_0$ is more precisely known. The large uncertainty in the skewness parameters affects the $E_{\rm{sym}}(\rho_0)$ versus $L$ correlation by the same almost as significantly as the uncertainty in $K_{\rm{sym}}$.

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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 examine critically how tightly the density dependence of nuclear symmetry energy \esym is constrained by the universal equation of state (EOS) of the unitary Fermi gas $E_{\rm{UG}}(\rho)$ considering currently known uncertainties of higher order parameters describing the density dependence of the Equation of State of isospin-asymmetric nuclear matter.	contribution 0.96	0.73	0.08	unclear 0.75
s1	We found that $E_{\rm{UG}}(\rho)$ does provide a useful lower boundary for the \esym.	result 1.00	0.95	0.29	asserted 1.00
s2	However, it does not tightly constrain the correlation between the magnitude $E_{\rm{sym}}(\rho_0)$ and slope $L$ unless the curvature $K_{\rm{sym}}$ of the symmetry energy at saturation density $\rho_0$ is more precisely known.	result 0.77	0.86	0.57	asserted 0.97
s3	The large uncertainty in the skewness parameters affects the $E_{\rm{sym}}(\rho_0)$ versus $L$ correlation by the same almost as significantly as the uncertainty in $K_{\rm{sym}}$.	result 0.90	0.77	0.11	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.88 · evidence from argument 0.53.

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arXiv listing abstract v2

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The paper

Original abstract

We examine critically how tightly the density dependence of nuclear symmetry energy \esym is constrained by the universal equation of state (EOS) of the unitary Fermi gas $E_{\rm{UG}}(\rho)$ considering currently known uncertainties of higher order parameters describing the density dependence of the Equation of State of isospin-asymmetric nuclear matter. We found that $E_{\rm{UG}}(\rho)$ does provide a useful lower boundary for the \esym. However, it does not tightly constrain the correlation between the magnitude $E_{\rm{sym}}(\rho_0)$ and slope $L$ unless the curvature $K_{\rm{sym}}$ of the symmetry energy at saturation density $\rho_0$ is more precisely known. The large uncertainty in the skewness parameters affects the $E_{\rm{sym}}(\rho_0)$ versus $L$ correlation by the same almost as significantly as the uncertainty in $K_{\rm{sym}}$.

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6 arXiv papers cite this in 9 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 · 6 sentences without a confident label

Contests it 1 paper

For example, [ref] argued that the uncertainty in $ξ_0$ is about 0.1, but this is not supported by recent cold atom experiments, as discussed in this section.

Symmetry Parameter Constraints From A Lower Bound On The Neutron-Matter Energy · The Minimal Constraint on the Symmetry Energy · contest 0.85

Uses its data or values 2 papers

Higher-order EOS parameters $p_4=K_sym$, $p_5=Q_0$, and $p_6=Q_sym$, if they can be changed as independent model parameters, are varied uniformly within their prior ranges obtained based on analyses of terrestrial nuclear experiments and EDFs [ref] .

Bayesian inference of neutron-skin thickness and neutron-star observables based on effective nuclear interactions · Theoretical framework · 0.92
For the KIDS model, there are totally 13 independent variables, and we choose to vary higher-order EOS parameters $p_4=Q_0$, $p_5=K_sym$, and $p_6=Q_sym$ uniformly within their prior ranges obtained based on analyses of terrestrial nuclear experiments and EDFs [ref] , in additional to those in the standard SHF model.

Bayesian inference of neutron-star observables based on effective nuclear interactions · Bayesian analysis · 0.90

What it cites · 12 sentences without a confident label

Uses data or values from 2 papers

[ref] , currently the best estimate for the Bertsch parameter $ξ$ from lattice Monte Carlo studies is $ξ= 0.372(5)$ consistent with the most accurate experimental value of $ξ= 0.376(4)$.

Symmetry Parameter Constraints From A Lower Bound On The Neutron-Matter Energy · Introduction · 0.88
Interestingly, very recently by analyzing comprehensively the relative elliptical flows of neutrons and protons measured by the ASY-EOS and the FOPI-LAND collaborations at GSI using a Quantum Molecular Dynamics (QMD) model [ref] , the extracted values for the slope and curvature parameters are $L=59±24$ MeV and $K_sym=88±372$ MeV at the $1σ$ confidence level.

Feasability of constraining the curvature parameter of the symmetry energy using elliptic flow data · Introduction · 0.84

Compares with 1 paper

[ref] obtained using the same assumptions.

Symmetry Parameter Constraints From A Lower Bound On The Neutron-Matter Energy · Introduction · 0.99

Cites as background 1 paper

During the last two decades, significant efforts have been devoted to exploring the using both terrestrial laboratory experiments [ref] and astrophysical observations [ref] .

Universal symmetry energy contribution to the neutron star equation of state · Introduction · 0.98

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