Nuclear symmetry energy at subnormal densities from measured nuclear masses

Liu, Min; Wang, Ning; Li, Zhuxia; Zhang, Feng-Shou

doi:10.1103/physrevc.82.064306

Cited by 86 publications

(86 citation statements)

References 25 publications

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“…the results S 0 = 31.1 MeV and κ = 2.31 MeV in Ref. [28] can be reproduced by using the formula a sym (A) = S 0 (1 + κ/A 1/3 ) −1 .…”

Section: Coulomb Energy Coefficientsmentioning

confidence: 96%

“…In the realistic calculations of nuclear masses, two different forms for description of the mass dependence of a sym are frequently used. One is a sym (A) = S 0 (1 − κ/A 1/3 ) [19][20][21][22][23][24][25][26], the other is a sym (A) = S 0 (1 + κ/A 1/3 ) −1 [27][28][29][30]. However, the values of the parameters S 0 and κ are quite different in different theoretical frameworks.…”

Section: Introductionmentioning

confidence: 99%

“…For the Wigner energy, we take the form E W = 10exp(−4.2|I|) as in Ref. [28,35], where I = (N − Z)/A. So long as the Coulomb energy expression and its coefficients are determined, the symmetry energy coefficient can be calculated by using Eqs.…”

Section: Introductionmentioning

confidence: 99%

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Effect of Coulomb energy on the symmetry energy coefficients of finite nuclei

et al. 2014

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The nuclear symmetry energy coefficients of finite nuclei are extracted by using the differences between the masses of isobaric nuclei. Based on the masses of more than 2400 nuclei with A = 9 − 270, we investigate the model dependence in the extraction of symmetry energy coefficient. We find that the extraction of the symmetry energy coefficients is strongly correlated with the forms of the Coulomb energy and the mass dependence of the symmetry energy coefficient adopted. The values of the extracted symmetry energy coefficients increase by about 2 MeV for heavy nuclei when the Coulomb correction term is involved. We obtain the bulk symmetry energy coefficient S 0 = 28.26 ± 1.3 MeV and the surface-to-volume ratio κ = 1.26 ± 0.25 MeV if assuming the mass dependence of symmetry energy coefficient a sym (A) = S 0 (1 − κ/A 1/3 ), and S 0 = 32.80 ± 1.7 MeV, κ = 2.82 ± 0.57 MeV when a sym (A) = S 0 (1 + κ/A 1/3 ) −1 is adopted.

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“…the results S 0 = 31.1 MeV and κ = 2.31 MeV in Ref. [28] can be reproduced by using the formula a sym (A) = S 0 (1 + κ/A 1/3 ) −1 .…”

Section: Coulomb Energy Coefficientsmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

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Effect of Coulomb energy on the symmetry energy coefficients of finite nuclei

et al. 2014

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“…According to Eq. (7), the slope parameter of the symmetry energy for the three sets of parameters is about L ≈ 78 MeV, which locates in the region of L = 70 ± 15 MeV predicted by the latest finite range droplet model [36] and of 53 < L < 79 MeV extracted from the nuclear masses together with the semi-empirical connection between the symmetry energy coefficients of finite nuclei and the nuclear symmetry energy at reference densities [37]. In addition, the value of the surface coefficient g sur should also be investigated and constrained since the fusion barrier is closely related to the surface properties of nuclei.…”

Section: A Mean-field In the Modelmentioning

confidence: 99%

Microscopic dynamics simulations of heavy-ion fusion reactions induced by neutron-rich nuclei

Wang

Zhang

et al. 2014

Phys. Rev. C

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The heavy-ion fusion reactions induced by neutron-rich nuclei are investigated with the improved quantum molecular dynamics (ImQMD) model. With a subtle consideration of the neutron skin thickness of nuclei and the symmetry potential, the stability of nuclei and the fusion excitation functions of heavy-ion fusion reactions 16 O+ 76 Ge, 16 O+ 154 Sm, 40 Ca+ 96 Zr and 132 Sn+ 40 Ca are systematically studied. The fusion cross sections of these reactions at energies around the Coulomb barrier can be well reproduced by using the ImQMD model. The corresponding slope parameter of the symmetry energy adopted in the calculations is L ≈ 78 MeV and the surface energy coefficient is g sur = 18 ± 1.5 MeVfm 2 . In addition, it is found that the surface-symmetry term significantly influences the fusion cross sections of neutron-rich fusion systems. For sub-barrier fusion, the dynamical fluctuations in the densities of the reaction partners and the enhanced surface diffuseness at neck side result in the lowering of the fusion barrier. * Electronic address: wangning@gxnu.edu.cn

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“…Furthermore, by using the newly updated ultrarelativistic quantum molecular dynamics (UrQMD) model in which the Skyrme potential energy density functional is introduced, the recently published flow data [35,36] of the FOPI Collaboration for light charged particles (protons, 2 H, 3 H, 3 He, and 4 He) can be reproduced quite well [37]. An advantage of the UrQMD update is that the stiffness of the symmetry energy can be more consistently selected within a broad range by simply changing Skyrme interactions, rather than by varying the exponent γ in the potential term of the symmetry energy which, in addition, cannot be used to express a very soft symmetry energy [38].…”

Section: Introductionmentioning

confidence: 99%

Constraining the high-density nuclear symmetry energy with the transverse-momentum-dependent elliptic flow

Wang

Guo

et al. 2014

Phys. Rev. C

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Within the newly updated version of the ultrarelativistic quantum molecular dynamics (UrQMD) model, the transverse-velocity dependence of the elliptic flow of free nucleons from 197 Au+ 197 Au collisions at the incident energy 400 MeV/nucleon is studied within different windows of the normalized c.m. rapidity y 0 . It is found that the elliptic flow difference v n 2 -v p 2 and ratio v n 2 /v p 2 of neutrons versus protons are sensitive to the density dependence of the symmetry energy, especially the ratio v n 2 /v p 2 at small transverse velocity in the intermediate rapidity intervals 0.4 < |y 0 | < 0.6. By comparing either transverse-momentum dependent or integrated FOPI/LAND elliptic flow data of nucleons and hydrogen isotopes with calculations using various Skyrme interactions, all exhibiting similar values of isoscalar incompressibility but very different density dependences of the symmetry energy, a moderately soft to linear symmetry energy is extracted, in good agreement with previous UrQMD or Tübingen QMD model calculations but contrasting results obtained with π − /π + yield ratios available in the literature.

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Nuclear symmetry energy at subnormal densities from measured nuclear masses

Cited by 86 publications

References 25 publications

Effect of Coulomb energy on the symmetry energy coefficients of finite nuclei

Effect of Coulomb energy on the symmetry energy coefficients of finite nuclei

Microscopic dynamics simulations of heavy-ion fusion reactions induced by neutron-rich nuclei

Constraining the high-density nuclear symmetry energy with the transverse-momentum-dependent elliptic flow

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