Charge and mass radii of the tin isotopes

Berdichevsky, D. B.; Fleming, R.; Sprung, D. W. L.; Tondeur, F.

doi:10.1007/bf01294344

Cited by 5 publications

(4 citation statements)

References 41 publications

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“…This parameter is poorly known and there are very few experimental analysis which propose an estimation. An analysis of charge and mass radii of Tin isotopes concluded that either Q sat ≈ 30 MeV or L sym ≈ 0 MeV [94]. Another analysis of the incompressibility modulus concluded that Q sat ≈ −700 ± 500 MeV [95].…”

Section: Modelmentioning

confidence: 99%

Equation of state for dense nucleonic matter from metamodeling. I. Foundational aspects

2018

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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. arXiv:1708.06894v3 [nucl-th]

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Section: Modelmentioning

confidence: 99%

Equation of state for dense nucleonic matter from metamodeling. I. Foundational aspects

2018

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“…It is however interesting to note that a few studies give for L sym lower values, even negative ones, see Refs. [73,74], from the charge radius of Sn and Pb isotopes using a droplet model. A detailed analysis based on a few Skyrme and Gogny interactions advocates also for a low values for L sym [75].…”

Section: Empirical Parameter Lsymmentioning

confidence: 99%

“…While the incompressibility modulus K sat is well defined, the density dependence of the incompressibility is poorly known and there are very scarce experimental analysis to determine its value. An analysis based on charge and mass radii of the Sn isotopes concluded that either Q sat ≈ 30 MeV or L sym ≈ 0 MeV [74]. Another analysis based on the Skyrme functionals which are fitted according to the breathing modes concluded that Q sat ≈ 500 MeV [87].…”

Section: Empirical Parameter Qsatmentioning

confidence: 99%

Multi-messenger and multi-physics Bayesian inference for GW170817 binary neutron star merger

Güven,

Bozkurt,

Khan

et al. 2020

Preprint

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The tidal deformability probability distribution extracted from GW170817 alone, or including multi-messenger information, is confronted to astrophysical and nuclear physics additional constraints within a semi-agnostic approach for the dense matter equation of state. We use Bayesian statistics to combine together low density nuclear physics data, such as the ab-initio predictions based on χEFT interactions or the isoscalar giant monopole resonance, and astrophysical constraints from neutron stars, such as the maximum mass of neutron stars or the probability density function of the tidal deformability Λ obtained from the GW170817 event. The posteriors probability distribution functions are marginalized over several nuclear empirical parameters (Lsym, Ksym, Qsat and Qsym), as well as over observational quantities such as the 1.4M radius R1.4 and the pressure at twice the saturation density P (2nsat). The correlations between Lsym and Ksym and between Ksat and Qsat are also further analyzed. Tension is found between the posteriors: the first one is localized in the tidal deformability probability distribution itself, depending whether multi-messenger analysis is included or not, and the second one is between the observational data and the nuclear physics inputs. These tensions impact the predictions for Lsym, Ksym and R1.4 with centroids which differ by 2-3σ. Implications for the nuclear equation of state are also discussed.

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“…In the case of Sn atom, due to the long chain of the isotopes with particularly interesting semi-magic nuclei, both experimental and theoretical studies of nuclear properties have been conducted for many years [6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Semi-empirical determination of the nuclear quadrupole moment of $$^{109}$$Sn

et al. 2021

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The nuclear quadrupole moment (Q) of $$^{109}$$ 109 Sn was determined by means of hyperfine structure (hfs) many-body parametrization method. The hyperfine structure splittings for isotopes $$^{117-131}$$ 117 - 131 Sn recently measured by Yordanov et al. (Commun Phys 3:1, 2020) were used in multiconfiguration semi-empirical calculations. The contributions from the second-order perturbation theory to the magnetic dipole hyperfine structure, concerning electrostatically correlated hyperfine interactions, were taken into consideration for even and odd configurations simultaneously. Contributions from the second-order perturbation theory to the electric quadrupole hyperfine structure, concerning spin–orbit correlated hyperfine interactions, were included for the first time.

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Charge and mass radii of the tin isotopes

Cited by 5 publications

References 41 publications

Equation of state for dense nucleonic matter from metamodeling. I. Foundational aspects

Equation of state for dense nucleonic matter from metamodeling. I. Foundational aspects

Multi-messenger and multi-physics Bayesian inference for GW170817 binary neutron star merger

Semi-empirical determination of the nuclear quadrupole moment of $$^{109}$$Sn

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