Nuclear symmetry potential in the relativistic impulse approximation

Li, Zeng-Hua; Chen, Lie‐Wen; Ko, Che Ming; Li, Bao-An; Ma, Hongru

doi:10.1103/physrevc.74.044613

Cited by 53 publications

(103 citation statements)

References 85 publications

(127 reference statements)

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“…In other words, the "symmety energy" shows little dependence on temparture. This is consistent with the analysis of the symmetry energy versus the temperature within a degenerate Fermi gas model [19]. Furthermore, the deduced "symmetry energy" displays an increasing trend with the freeze-out density, which will be discussed later.…”

Section: B Temperature and Density Dependence Of Symmetry Energysupporting

confidence: 75%

Density and Symmetric Potential Dependences of Isoscaling Behaviour in the Lattice Gas Model

Wen-Dong

et al. 2008

Chinese Phys. Lett.

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Isoscaling behavior of the statistical emission fragments from the equilibrated sources with Z = 30 and N = 30, 33, 36 and 39, resepectively, is investigated in the framework of isospin dependent lattice gas model. The dependences of isoscaling parameters α on source isospin asymmetry, temperature and freeze-out density are studied and the "symmetry energy" is deduced from isoscaling parameters. Results show that "symmetry energy" Csym is insensitive to the change of temperature but follows the power-law dependence on the freeze-out density ρ. The later gives Csym = 30(ρ/ρ0) 0.62 if the suitable asymmetric nucleon-nucleon potential is taken. The effect of strength of asymmetry of nucleon-nucleon interaction potential on the density dependence of the "symmetry energy" is dicussed.

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Section: B Temperature and Density Dependence Of Symmetry Energysupporting

confidence: 75%

Density and Symmetric Potential Dependences of Isoscaling Behaviour in the Lattice Gas Model

Wen-Dong

et al. 2008

Chinese Phys. Lett.

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“…These results provide important constraints on the high energy behavior of the nuclear symmetry potential in asymmetric nuclear matter. Furthermore, with the Love-Franey NN scattering amplitude developed by Murdock and Horowitz [90,91], the intermediate-energy (100 ≤ E kin ≤ 400 MeV) behavior of the nuclear symmetry potential constructed from the Schrödinger-equivalent potential in isospin asymmetric nuclear matter has also been investigated recently [92]. It shows that the nuclear symmetry potential at fixed baryon density decreases with increasing nucleon energy.…”

Section: B Nuclear Symmetry Potentialmentioning

confidence: 99%

“…We note that in studies based on the relativistic impulse approximation with empirical N N scattering amplitude and the nuclear scalar and vector densities from the RMF model, the Schrödinger-equivalent nuclear symmetry potential at fixed baryon density is found to decrease with increasing nucleon energy in the range of 100 ≤ E kin ≤ 400 MeV [92] and becomes essentially constant once the nucleon kinetic energy is greater than about 500 MeV [89].…”

Section: Sep Symmentioning

confidence: 99%

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Isospin-dependent properties of asymmetric nuclear matter in relativistic mean field models

2007

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Using various relativistic mean-field models, including the nonlinear ones with meson field selfinteractions, those with density-dependent meson-nucleon couplings, and the point-coupling models without meson fields, we have studied the isospin-dependent bulk and single-particle properties of asymmetric nuclear matter. In particular, we have determined the density dependence of nuclear symmetry energy from these different relativistic mean-field models and compare the results with the constraints recently extracted from analyses of experimental data on isospin diffusion and isotopic scaling in intermediate-energy heavy ion collisions as well as from measured isotopic dependence of the giant monopole resonances in even-A Sn isotopes. Among the 23 parameter sets in the relativistic mean-filed model that are commonly used for nuclear structure studies, only a few are found to give symmetry energies that are consistent with the empirical constraints. We have also studied the nuclear symmetry potential and the isospin-splitting of the nucleon effective mass in isospin asymmetric nuclear matter. We find that both the momentum dependence of the nuclear symmetry potential at fixed baryon density and the isospin-splitting of the nucleon effective mass in neutron-rich nuclear matter depend not only on the nuclear interactions but also on the definition of the nucleon optical potential.

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“…In recent years, the temperature dependence of single-particle properties in nuclear and neutron matter was also broadly investigated, including studies in finite systems, as well (e.g., Refs. [4,[18][19][20][21][22][23][24][25]). …”

Section: Introductionmentioning

confidence: 99%

Temperature dependence of the symmetry energy and neutron skins in Ni, Sn, and Pb isotopic chains

et al. 2017

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The temperature dependence of the symmetry energy for isotopic chains of even-even Ni, Sn, and Pb nuclei is investigated in the framework of the local density approximation (LDA). The Skyrme energy density functional with two Skyrme-class effective interactions, SkM* and SLy4, is used in the calculations. The temperaturedependent proton and neutron densities are calculated through the HFBTHO code that solves the nuclear SkyrmeHartree-Fock-Bogoliubov problem by using the cylindrical transformed deformed harmonic-oscillator basis. In addition, two other density distributions of 208 Pb, namely the Fermi-type density determined within the extended Thomas-Fermi (TF) method and symmetrized-Fermi local density obtained within the rigorous density functional approach, are used. The kinetic energy densities are calculated either by the HFBTHO code or, for a comparison, by the extended TF method up to second order in temperature (with T 2 term). Alternative ways to calculate the symmetry energy coefficient within the LDA are proposed. The results for the thermal evolution of the symmetry energy coefficient in the interval T = 0-4 MeV show that its values decrease with temperature. The temperature dependence of the neutron and proton root-mean-square radii and corresponding neutron skin thickness is also investigated, showing that the effect of temperature leads mainly to a substantial increase of the neutron radii and skins, especially in the more neutron-rich nuclei, a feature that may have consequences on astrophysical processes and neutron stars.

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Nuclear symmetry potential in the relativistic impulse approximation

Cited by 53 publications

References 85 publications

Density and Symmetric Potential Dependences of Isoscaling Behaviour in the Lattice Gas Model

Density and Symmetric Potential Dependences of Isoscaling Behaviour in the Lattice Gas Model

Isospin-dependent properties of asymmetric nuclear matter in relativistic mean field models

Temperature dependence of the symmetry energy and neutron skins in Ni, Sn, and Pb isotopic chains

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