Relativistic mean field model with generalized derivative nucleon-meson couplings

Typel, S.; Chossy, T. V.; Wolter, H.H.

doi:10.1103/physrevc.67.034002

Cited by 21 publications

(30 citation statements)

References 62 publications

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“…If using the functional form (1) one attemps to get a soft EOS for dense matter with vanishing η 1 and limited. It will be worth exploring the situation for relativistic models that taking advantage of density-dependent coupling vertices are consistent with the DBHF theory [21].…”

Section: Discussionmentioning

confidence: 99%

Versatility of field theory motivated nuclear effective Lagrangian approach

et al. 2004

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We analyze the results for infinite nuclear and neutron matter using the standard relativistic mean field model and its recent effective field theory motivated generalization. For the first time, we show quantitatively that the inclusion in the effective theory of vector meson self-interactions and scalar-vector cross-interactions explains naturally the recent experimental observations of the softness of the nuclear equation of state, without losing the advantages of the standard relativistic model for finite nuclei.

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Section: Discussionmentioning

confidence: 99%

Versatility of field theory motivated nuclear effective Lagrangian approach

et al. 2004

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“…(10)) in these models increases linearly with nucleon energy even at high energies. Recently, momentum-dependent nucleon self-energies have been introduced in the RMF model by including in the Lagrangian density the couplings of meson fields to the derivatives of nucleon densities [93,121], and the results indicate that a reasonable energy dependence of the "Schrödinger-equivalent potential" in symmetric nuclear matter at saturation density can be obtained, and the Landau mass can also be increased to a more reasonable value while keeping the Dirac mass unchanged, which further leads to an improved description of β-decay half-lives of neutron-rich nuclei in the Z ≈ 28 and Z ≈ 50 regions [94]. In the framework of density-functional theory, including the couplings of meson fields to the derivatives of nucleon densities in the Lagrangian density provides an effective way to take into account higher-order effects.…”

Section: Discussionmentioning

confidence: 99%

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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“…An early version is the model by Zimanyi and Moszkowski (1990), where scalar derivative couplings were introduced that could be transformed to particular nonlinear couplings of nucleons to the σ meson. General first-order derivative couplings were considered by Typel, von Chossy, and Wolter (2003) and Typel (2005). The approach was extended to derivatives of arbitrary high order by Gaitanos, Kaskulov, and Mosel (2009) and Kaskulov (2012, 2013) in the nonlinear derivative (NLD) coupling model and studied in various versions (Chen, 2012Antić and Typel, 2015;Gaitanos and Kaskulov, 2015).…”

Section: ¼T þV ð14þmentioning

confidence: 99%

Equations of state for supernovae and compact stars

et al. 2017

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A review is given of various theoretical approaches for the equation of state (EoS) of dense matter, relevant for the description of core-collapse supernovae, compact stars, and compact star mergers. The emphasis is put on models that are applicable to all of these scenarios. Such EoS models have to cover large ranges in baryon number density, temperature, and isospin asymmetry. The characteristics of matter change dramatically within these ranges, from a mixture of nucleons, nuclei, and electrons to uniform, strongly interacting matter containing nucleons, and possibly other particles such as hyperons or quarks. As the development of an EoS requires joint efforts from many directions, different theoretical approaches are considered and relevant experimental and observational constraints which provide insights for future research are discussed. Finally, results from applications of the discussed EoS models are summarized.

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Relativistic mean field model with generalized derivative nucleon-meson couplings

Cited by 21 publications

References 62 publications

Versatility of field theory motivated nuclear effective Lagrangian approach

Versatility of field theory motivated nuclear effective Lagrangian approach

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

Equations of state for supernovae and compact stars

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