Symmetry energy, its density slope, and neutron-proton effective mass splitting at normal density extracted from global nucleon optical potentials

Xu, Chang; Li, Bao-An; Chen, Lie‐Wen

doi:10.1103/physrevc.82.054607

Cited by 153 publications

(51 citation statements)

References 84 publications

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“…1 are the different cases of the symmetry energy after inclusion of the momentum-dependent interactions. In the present work we take E loc sym (ρ 0 ) = 31.5 MeV [48,57], which is consistent with the value constrained by the nucleon global optical potentials using the Hugenholtz-Van Hove theorem [58]. In Fig.…”

Section: Model Descriptionmentioning

confidence: 62%

Probing the momentum-dependent symmetry potential via nuclear collective flows

Wang

Zhu

et al. 2015

Phys. Rev. C

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The dependence of the momentum-dependent symmetry potential on the nuclear collective flows produced in semicentral 197 Au + 197 Au collisions at incident energies from 250 to 800A MeV has been investigated within the isospin-dependent quantum molecular dynamics model. It is found that the theoretical results overestimate the values of the experimental data on directed flow of protons in the domain of large rapidities but can reproduce well the one of mass-three cluster. Neutron-proton differential flows and difference of neutron-proton collective flows are sensitive to the momentum-dependent symmetry potential, especially in the domain of larger rapidities and momenta. This sensitivity becomes stronger with increasing cut of the transverse velocity and becomes smaller with increasing incident energies.

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Section: Model Descriptionmentioning

confidence: 62%

Probing the momentum-dependent symmetry potential via nuclear collective flows

Wang

Zhu

et al. 2015

Phys. Rev. C

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“…Although significant progress has been made, large uncertainties on E sym (ρ) still exist even around the nuclear matter saturation density, e.g., while the value of E sym (ρ 0 ) is determined to be around 30 ± 4 MeV, mostly from analyzing nuclear masses, the extracted density slope L scatters in a very large range from about 20 to * Corresponding author: lwchen@sjtu.edu.cn 115 MeV, depending on the observables and methods used in the studies [17,36,37] (see, e.g., Refs. [19,[38][39][40][41] for a review of recent progress.) Reducing the uncertainties on the constraints of E sym (ρ 0 ) and L is thus of critical importance and remains a big challenge in the community.…”

Section: Introductionmentioning

confidence: 99%

Single-nucleon potential decomposition of the nuclear symmetry energy

et al. 2012

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The nuclear symmetry energy $E_{sym}(\rho)$ and its density slope $L(\rho)$ can be decomposed analytically in terms of the single-nucleon potential in isospin asymmetric nuclear matter. Using three popular nuclear effective interaction models which have been extensively used in nuclear structure and reaction studies, namely, the isospin and momentum dependent MDI interaction model, the Skyrme Hartree-Fock approach and the Gogny Hartree-Fock approach, we analyze the contribution of different terms in the single-nucleon potential to the $E_{sym}(\rho)$ and $L(\rho)$. Our results show that the observed different density behaviors of $E_{sym}(\rho)$ for different interactions are essentially due to the variation of the symmetry potential $U_{sym,1}(\rho,k)$. Furthermore, we find that the contribution of the second-order symmetry potential $U_{sym,2}(\rho,k)$ to the $L(\rho)$ generally cannot be neglected. Moreover, our results demonstrate that the magnitude of the $U_{sym,2}(\rho,k)$ is generally comparable with that of $U_{sym,1}(\rho,k)$, indicating the second-order symmetry potential $U_{sym,2}(\rho,k)$ may have significant corrections to the widely used Lane approximation to the single-nucleon potential in extremely neutron(proton)-rich nuclear matter.Comment: 16 pages, 13 figures, 1 big table. Results of BSk14-17, Rsigma-fit, and Gsigma-fit in the big table updated, typos fixed. Published version in PR

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“…where k F is the nucleon Fermi momentum and m * 0 is the nucleon isoscalar effective mass [61,62,63]. While the density and momentum dependence of the isoscalar potential U 0 (ρ, k) has been relatively well determined [3], such information for the isovector potential U sym,1 (ρ, k) is rather incomplete especially at high-densities and/or high-momenta [6,64,65,66,67,68].…”

Section: Why Is the Symmetry Energy So Uncertain Especiallymentioning

confidence: 99%

Origins and impacts of high-density symmetry energy

Li¹

2017

AIP Conference Proceedings

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Abstract. What is nuclear symmetry energy? Why is it important? What do we know about it? Why is it so uncertain especially at high densities? Can the total symmetry energy or its kinetic part be negative? What are the effects of three-body and/or tensor force on symmetry energy? How can we probe the density dependence of nuclear symmetry energy with terrestrial nuclear experiments? What observables of heavy-ion reactions are sensitive to the high-density behavior of nuclear symmetry energy? How does the symmetry energy affect properties of neutron stars, gravitational waves and our understanding about the nature of strong-field gravity? In this lecture, we try to answer these questions as best as we can based on some of our recent work and/or understanding of research done by others. This note summarizes the main points of the lecture.

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Symmetry energy, its density slope, and neutron-proton effective mass splitting at normal density extracted from global nucleon optical potentials

Cited by 153 publications

References 84 publications

Probing the momentum-dependent symmetry potential via nuclear collective flows

Probing the momentum-dependent symmetry potential via nuclear collective flows

Single-nucleon potential decomposition of the nuclear symmetry energy

Origins and impacts of high-density symmetry energy

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