Approximate analytical solution for nuclear matter in a mean-field Walecka model and Coester line behavior

Delfino, A.; Silva, J.B.; Malheiro, M.

doi:10.1103/physrevc.73.037311

Cited by 4 publications

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“…Alternatively, DBHF calculations have been shown to be effective without the need for NNN forces [17,20]. Another possibility is to treat the scalar and vector densities in the Walecka relativistic mean-field model [21] as equal [22]. However, the systematic deviation of all theoretical predictions from the expected empirical values of E o and ρ o remains a problem.…”

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confidence: 99%

Skyrme interaction and nuclear matter constraints

et al. 2012

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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.

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Section: Introductionmentioning

confidence: 99%

Skyrme interaction and nuclear matter constraints

et al. 2012

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Point-coupling Models from Mesonic Hypermassive Limit and Mean-field Approaches

et al. 2012

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In this work, we show how nonlinear pointcoupling models, described by a Lagrangian density containing only terms up to fourth order in the fermion condensate (ψψ), are derived from a modified mesonexchange nonlinear Walecka model. We present two methods of derivation, namely the hypermassive meson limit within a functional integral approach and the mean-field approximation, in which equations of state at zero temperature of the nonlinear point-coupling models are directly obtained.

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