Skyrme interaction and nuclear matter constraints

By M. Dutra, O. Lourencco, J. S. Martins, A. Delfino, J. Stone, P. Stevenson. 2012

366 citations recorded by the source corpus.

This paper presents a detailed assessment of the ability of the 240 Skyrme interaction parameter sets in the literature to satisfy a series of criteria derived from macroscopic properties of nuclear matter in the vicinity of nuclear saturation density at zero temperature and their density dependence, derived by the liquid-drop model, in experiments with giant resonances and heavy-ion collisions. The objective is to identify those parametrizations which best satisfy the current understanding of the physics of nuclear matter over a wide range of applications. Out of the 240 models, only 16 are shown to satisfy all these constraints. Additional, more microscopic, constraints on the density dependence of the neutron and proton effective mass β-equilibrium matter, Landau parameters of symmetric and pure neutron nuclear matter, and observational data on high- and low-mass cold neutron stars further reduce this number to 5, a very small group of recommended Skyrme parametrizations to be used in future applications of the Skyrme interaction of nuclear-matter-related observables. Full information on partial fulfillment of individual constraints by all Skyrme models considered is given. The results are discussed in terms of the physical interpretation of the Skyrme interaction and the validity of its use in mean-field models. Future work on application of the Skyrme forces, selected on the basis of variables of nuclear matter, in the Hartree-Fock calculation of properties of finite nuclei, is outlined.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/58df6457366e144800134d11ce7fd9cd63f9ff07

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In Astronomy and Astrophysics

1. Bao-An Li
2. Nai-Bo Zhang
3. G. Fiorella Burgio
4. Marc A. Baldo
5. Jun Xu
6. I. Tews
7. J. Lattimer
8. E. Kolomeitsev

In Nuclear and High Energy Physics

1. G. Fiorella Burgio
2. Marc A. Baldo
3. Nai-Bo Zhang
4. Bao-An Li
5. Jun Xu
6. J. Lattimer
7. I. Tews
8. E. Kolomeitsev

Citations in the corpus

• Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy (2016, methodology): “Even though a large fraction of the parameter sets taken from the compilations of Dutra et al. (2012, 2014) do not satisfy the UG constraint, a larger fraction of the accepted parameter sets do obey this constraint; furthermore, they show almost exactly the same correlation as in the analysis of…”
• Combined Constraints on the Equation of State of Dense Neutron-rich Matter from Terrestrial Nuclear Experiments and Observations of Neutron Stars (2018, methodology): “Nevertheless, the systematics of over 500 RMF and SHF energy density functionals indicates the following range: −800 ≤ J0 ≤ 400 MeV (Dutra et al. 2012, 2014), −400 ≤ Ksym ≤ 100 MeV and −200 ≤ Jsym ≤ 800 MeV, respectively (see, e.g., Chen et al. 2009; Dutra et al. 2012, 2014; Colò et al. 2014;…”
• The Nuclear Symmetry Energy (2016, background): “It can be approximately constrained between 210 and 250 MeV [35], though a more refined value can be expected to come out in the near future from additional analysis of phenomenological data.”