Neutron Skin of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi>Pb</mml:mi><mml:mprescripts /><mml:none /><mml:mn>208</mml:mn></mml:mmultiscripts></mml:math>, Nuclear Symmetry Energy, and the Parity Radius Experiment

Roca-Maza, X.; Centelles, M.; Viñas, X.; Warda, M.

doi:10.1103/physrevlett.106.252501

Cited by 425 publications

(504 citation statements)

References 51 publications

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“…Such a strong correlation is consistent with two recent studies that employ a large number of accurately-calibrated relativistic and non-relativistic interactions to uncover the correlation [47,48]. Also consistent with recent studies [6,48], is the fact that the proposed 1% measurement of the neutron radius of 208 Pb by the PREx collaboration [42,43] may not be able to place a significant constrain on L. For example, our covariance analysis suggests that the 20% uncertainty assumed for L translates into a theoretical error in the neutron skin of 0.037 fm-or about a 0.7% uncertainty in the neutron radius of 208 Pb. Conversely, if L is to be determined to within 10% (i.e., L ≈ 60 ± 6 MeV) then the neutron skin must be constrained to about 0.018 fm so the neutron radius must be measured with close to a 0.3% accuracy-a fairly daunting task.…”

Section: B Example 2: Non-linear Fsugold Modelsupporting

confidence: 90%

Accurate calibration of relativistic mean-field models: Correlating observables and providing meaningful theoretical uncertainties

Fattoyev

Piekarewicz

2011

Phys. Rev. C

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Theoretical uncertainties in the predictions of relativistic mean-field models are estimated using a chi-square minimization procedure that is implemented by studying the small oscillations around the chi-square minimum. By diagonalizing the matrix of second derivatives, one gains access to a wealth of information-in the form of powerful correlations-that would normally remain hidden. We illustrate the power of the covariance analysis by using two relativistic mean-field models: (a) the original linear Walecka model and (b) the accurately calibrated FSUGold parametrization. In addition to providing meaningful theoretical uncertainties for both model parameters and predicted observables, the covariance analysis establishes robust correlations between physical observables. In particular, we show that whereas the correlation coefficient between the slope of the symmetry energy and the neutron-skin thickness of Lead is indeed very large, a 1% measurement of the neutron radius of Lead may only be able to constrain the slope of the symmetry energy to about 30%.

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Section: B Example 2: Non-linear Fsugold Modelsupporting

confidence: 90%

Accurate calibration of relativistic mean-field models: Correlating observables and providing meaningful theoretical uncertainties

Fattoyev

Piekarewicz

2011

Phys. Rev. C

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“…Future electroweak measurements will help narrow these intervals even further. Given the strong correlation between the neutron skin thickness of a neutron-rich nucleus and the slope of the symmetry energy L [33,36,60], it is reasonable to expect that the α D J-∆r np correlation will extend to the α D J-L case, as it has been explicitly shown for 208 Pb; see …”

Section: Resultsmentioning

confidence: 99%

Neutron skin thickness from the measured electric dipole polarizability inNi68,Sn120, and
Roca-Maza
¹
,
Viñas
²
,
Centelles
³

et al. 2015
Phys. Rev. C
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The information on the symmetry energy and its density dependence is deduced by comparing the available data on the electric dipole polarizability αD of 68 Ni, 120 Sn, and 208 Pb with the predictions of Random Phase Approximation, using a representative set of nuclear energy density functionals.The calculated values of αD are used to validate different correlations involving αD, the symmetry energy at the saturation density J, corresponding slope parameter L and the neutron skin thickness ∆rnp, as suggested by the Droplet Model. A subset of models that reproduce simultaneously the measured polarizabilities in 68 Ni, 120 Sn, and 208 Pb are employed to predict the values of symmetry energy parameters at saturation density and ∆rnp. The resulting intervals are: J = 30-35 MeV, L = 20-66 MeV; and the values for ∆rnp in 68 Ni, 120 Sn, and 208 Pb are in the ranges: 0.15-0.19 fm, 0.12-0.16 fm, and 0.13-0.19 fm, respectively. The strong correlation between the electric dipole polarizabilities of two nuclei is instrumental to predict the values of electric dipole polarizabilities in other nuclei.

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“…Several recent works also relate the neutron skin and the density dependence of the symmetry energy [45,46]. Other works relate the (soft) dipole response to the density dependence of the symmetry energy [56].…”

Section: Nuclear Dynamicsmentioning

confidence: 99%

Recent progress in EDF-based methods applied to nuclear properties

Khan

2014

EPJ Web of Conferences

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Abstract. Recent results obtained with energy density functional (EDF) based methods are presented, focused on the nuclear phenomenology. EDF approaches aim for an universal description of the nuclear phenomena over the nuclear chart. Achievements from large to small nuclear systems are depicted: equation of state of nuclear matter, heavy and light nuclei. Dynamical aspects such as nuclear excitations, decay and reactions are also presented. EDF methods are progressing towards an unified and systematic description of the rich variety of the nuclear phenomena such as quantum liquid and cluster states, or nuclear structure and reactions.

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Neutron Skin ofPb208, Nuclear Symmetry Energy, and the Parity Radius Experiment

Cited by 425 publications

References 51 publications

Accurate calibration of relativistic mean-field models: Correlating observables and providing meaningful theoretical uncertainties

Accurate calibration of relativistic mean-field models: Correlating observables and providing meaningful theoretical uncertainties

Neutron skin thickness from the measured electric dipole polarizability inNi68,Sn120, and
Roca-Maza
¹
,
Viñas
²
,
Centelles
³

et al. 2015
Phys. Rev. C
Self Cite
233
32
256
3
View full text Add to dashboard Cite

Recent progress in EDF-based methods applied to nuclear properties

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Neutron Skin ofPb208, Nuclear Symmetry Energy, and the Parity Radius Experiment

Cited by 425 publications

References 51 publications

Accurate calibration of relativistic mean-field models: Correlating observables and providing meaningful theoretical uncertainties

Accurate calibration of relativistic mean-field models: Correlating observables and providing meaningful theoretical uncertainties

Neutron skin thickness from the measured electric dipole polarizability inNi68,Sn120, andRoca-Maza1, Viñas2, Centelles3 et al. 2015Phys. Rev. CSelf Cite233322563View full textAdd to dashboardCite

Recent progress in EDF-based methods applied to nuclear properties

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Resources

About

Neutron skin thickness from the measured electric dipole polarizability inNi68,Sn120, and
Roca-Maza
¹
,
Viñas
²
,
Centelles
³

et al. 2015
Phys. Rev. C
Self Cite
233
32
256
3
View full text Add to dashboard Cite