Interdependence of different symmetry energy elements

Mondal, C.; Agrawal, B. K.; De, J. N.; Samaddar, S. K.; Centelles, M.; Viñas, X.

doi:10.1103/physrevc.96.021302

Cited by 77 publications

(94 citation statements)

References 52 publications

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“…Assuming E sat = −16 ± 0.5 MeV and K sat = 230 ± 20 MeV [4,8,21], one can get a rough estimation for α K sym ,2 ≈ 58 ± 30 MeV, which is compatible with the coefficient α fitted in Ref. [29]. As in the previous section, the average values of α K sym ,i (i = 2-4) and their uncertainties can be estimated from a set of the same ∼50 functionals.…”

Section: B Correlation Between K Sym and 3e Sym − L Symsupporting

confidence: 82%

“…Note that this box contains all our ∼50 models, but it is possible to find other models out of this box, see for instance Ref. [29]. We deduce the following uncertainties for α K sym, i at different orders: α K sym ,2 = 8 ± 83 MeV, α K sym ,3 = 50 ± 95 MeV, and α K sym ,4 = 58 ± 93 MeV.…”

Section: B Correlation Between K Sym and 3e Sym − L Symmentioning

confidence: 70%

“…In this section, we employ the simple functional (1) to estimate the strength of various correlations between empirical parameters, such as the well-known correlation between E sym and L sym , as well as some other correlations such as the one between K sym and 3E sym −L sym recently proposed in Ref. [29], and we discuss the one between K sat and Q sat .…”

Section: Resultsmentioning

confidence: 99%

“…where the fit gives α = 66.80 ± 2.14 MeV and β = −4.97 ± 0.07 MeV [29]. The origin of such a correlation was however not explained in Ref.…”

Section: B Correlation Between K Sym and 3e Sym − L Symmentioning

confidence: 90%

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Effect of high-order empirical parameters on the nuclear equation of state

Margueron

Gulminelli

2019

Phys. Rev. C

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A quantitative knowledge of the nuclear Equation of State (EoS) requires an accurate estimation of the uncertainties on the EoS parameters and their mutual correlations. Such correlations are empirically observed in a large set of EoS models by different authors, but they are not always fully understood. We show that some of these correlations can be interpreted from basic physical constraints imposed on a simple Taylor expansion of the binding energy around saturation density. In particular, we investigate the correlations among the following empirical parameters: the symmetry energy E sym , the slope and curvature of the symmetry energy L sym and K sym , and the curvature and skewness of the binding energy in symmetric matter K sat and Q sat . The uncertainties on these correlations is estimated through analytical modelling as well as a meta-modelling analysis of the EoS subject to physical constraints. We show that a huge dispersion of the correlations among low order empirical parameters is induced by the unknown higher order empirical parameters, such as K sym (second order) and Q sat and Q sym (third order). We also propose an explanation of the reason why Q sat is weakly constrained by present experimental data. We conclude that selective observables on high order parameters, such as K sym and Q sat , should be better determined before the present uncertainties on the EoS can be further reduced.

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Section: B Correlation Between K Sym and 3e Sym − L Symsupporting

confidence: 82%

Section: B Correlation Between K Sym and 3e Sym − L Symmentioning

confidence: 70%

Section: Resultsmentioning

confidence: 99%

“…where the fit gives α = 66.80 ± 2.14 MeV and β = −4.97 ± 0.07 MeV [29]. The origin of such a correlation was however not explained in Ref.…”

Section: B Correlation Between K Sym and 3e Sym − L Symmentioning

confidence: 90%

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Effect of high-order empirical parameters on the nuclear equation of state

Margueron

Gulminelli

2019

Phys. Rev. C

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“…In addition, the constraints derived on K sym,0 shows agreement with those in Refs. [34,35]. We also note that bounds on K 0 and M 0 are less reliable than those on K sym,0 due to smaller correlations in the universal relations.…”

Section: Conclusion and Discussionmentioning

confidence: 82%

Constraining nuclear matter parameters with GW170817

2019

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The tidal measurement of gravitational waves from the binary neutron star merger event GW170817 allows us to probe nuclear physics that suffers less from astrophysical systematics compared to neutron star radius measurements with electromagnetic wave observations. A recent work found strong correlation among neutron-star tidal deformabilities and certain combinations of nuclear parameters associated with the equation of state. These relations were then used to derive bounds on such parameters from GW170817 assuming that the relations and neutron star masses are known exactly. Here, we expand on this important work by taking into account a few new considerations: (1) a broader class of equations of state; (2) correlations with the mass-weighted tidal deformability that was directly measured with GW170817; (3) how the relations depend on the binary mass ratio; (4) the uncertainty from equation of state variation in the correlation relations; (5) adopting the updated posterior distribution of the tidal deformability measurement from GW170817. Upon these new considerations, we find GW170817 90% confidence intervals on nuclear parameters (the incompressibility K0, its slope M0 and the curvature of symmetry energy Ksym,0 at nuclear saturation density) to be 81 MeV ≤ K0 ≤ 362 MeV, 1556 MeV ≤ M0 ≤ 4971 MeV, and -259 MeV ≤ Ksym,0 ≤ 32 MeV, which are more conservative than previously found with systematic errors more properly taken into account.

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Progress of quantum molecular dynamics model and its applications in heavy ion collisions

Zhang

Wang

et al. 2020

Front. Phys.

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In this review article, we first briefly introduce the transport theory and quantum molecular dynamics model applied in the study of the heavy ion collisions from low to intermediate energies.The developments of improved quantum molecular dynamics model (ImQMD) and ultra-relativistic quantum molecular dynamics model (UrQMD), are reviewed. The reaction mechanism and phenomena related to the fusion, multinucleon transfer, fragmentation, collective flow and particle production are reviewed and discussed within the framework of the two models. The constraints on the isospin asymmetric nuclear equation of state and in-medium nucleon-nucleon cross sections by comparing the heavy ion collision data with transport models calculations in last decades are also discussed, and the uncertainties of these constraints are analyzed as well. Finally, we discuss the future direction of the development of the transport models for improving the understanding of the reaction mechanism, the descriptions of various observables, the constraint on the nuclear equation of state, as well as for the constraint on in-medium nucleon-nucleon cross sections.

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Interdependence of different symmetry energy elements

Cited by 77 publications

References 52 publications

Effect of high-order empirical parameters on the nuclear equation of state

Effect of high-order empirical parameters on the nuclear equation of state

Constraining nuclear matter parameters with GW170817

Progress of quantum molecular dynamics model and its applications in heavy ion collisions

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