The symmetry energy γ parameter of relativistic mean-field models

  • The relativistic mean-field models tested in previous works against nuclear matter experimental values, critical parameters and macroscopic stellar properties are revisited and used in the evaluation of the symmetry energy γ parameter obtained in three different ways. We have checked that, independent of the choice made to calculate the γ values, a trend of linear correlation is observed between γ and the symmetry energy (S0) and a more clear linear relationship is established between γ and the slope of the symmetry energy (L0). These results directly contribute to the arising of other linear correlations between γ and the neutron star radii of R1.0 and R1.4, in agreement with recent findings. Finally, we have found that short-range correlations induce two specific parametrizations, namely, IU-FSU and DD-MEδ, simultaneously compatible with the neutron star mass constraint of 1.93≤Mmax/M≤2.05 and with the overlap band for the L0×S0 region, to present γ in the range of γ=0.25±0.05.
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Mariana Dutra, Odilon Louren, Or Hen, Eliezer Piasetzky and Débora P. Menezes. The symmetry energy γ parameter of relativistic mean-field models[J]. Chinese Physics C, 2018, 42(6): 064105. doi: 10.1088/1674-1137/42/6/064105
Mariana Dutra, Odilon Louren, Or Hen, Eliezer Piasetzky and Débora P. Menezes. The symmetry energy γ parameter of relativistic mean-field models[J]. Chinese Physics C, 2018, 42(6): 064105.  doi: 10.1088/1674-1137/42/6/064105 shu
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Received: 2017-11-10
Revised: 2018-04-02
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    This work is a part of the project INCT-FNA Proc. No. 464898/2014-5 and was partially supported by Conselho Nacional de Desenvolvimento Cientfico e Tecnolgico (CNPq), Brazil under grants 300602/2009-0 and 306786/2014-1. E. P. acknowledges support from the Israel Science Foundation. O. H. acknowledges the U.S. Department of Energy Office of Science, Office of Nuclear Physics program under award number DE-FG02-94ER40818

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The symmetry energy γ parameter of relativistic mean-field models

  • 1.  Departamento de Ciê
  • 2.  Universidade Federal do Rio de Janeiro, 27930-560, Macaé
  • 3.  Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 4.  School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel
  • 5.  Depto de Fí
Fund Project:  This work is a part of the project INCT-FNA Proc. No. 464898/2014-5 and was partially supported by Conselho Nacional de Desenvolvimento Cientfico e Tecnolgico (CNPq), Brazil under grants 300602/2009-0 and 306786/2014-1. E. P. acknowledges support from the Israel Science Foundation. O. H. acknowledges the U.S. Department of Energy Office of Science, Office of Nuclear Physics program under award number DE-FG02-94ER40818

Abstract: The relativistic mean-field models tested in previous works against nuclear matter experimental values, critical parameters and macroscopic stellar properties are revisited and used in the evaluation of the symmetry energy γ parameter obtained in three different ways. We have checked that, independent of the choice made to calculate the γ values, a trend of linear correlation is observed between γ and the symmetry energy (S0) and a more clear linear relationship is established between γ and the slope of the symmetry energy (L0). These results directly contribute to the arising of other linear correlations between γ and the neutron star radii of R1.0 and R1.4, in agreement with recent findings. Finally, we have found that short-range correlations induce two specific parametrizations, namely, IU-FSU and DD-MEδ, simultaneously compatible with the neutron star mass constraint of 1.93≤Mmax/M≤2.05 and with the overlap band for the L0×S0 region, to present γ in the range of γ=0.25±0.05.

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