Density-dependent correlations between properties of nuclear matter and neutron stars in a nonlinear mean-field approximation

Uechi, Hiroshi

doi:10.1016/j.nuclphysa.2007.11.003

Cited by 6 publications

(19 citation statements)

References 53 publications

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“…The properties of nonlinear corrections to effective masses and coupling constants would be an example of naturalness in the level of selfconsistent mean-field approximations; naturalness and truncations of nonlinear corrections to physical quantities could be appropriately controlled and defined with thermodynamic consistency. This is an important result derived in the conserving nonlinear mean-field approximation [10].…”

Section: Introductionmentioning

confidence: 54%

“…The lagrangian yields the nonlinear --Hartree approximation when direct interactions are properly renormalized, which is denoted as NHA [10]. The mesonfields operators are replaced by expectation values in the ground state: 0 for the -field, V 0 for the vector-isoscalar -meson.…”

Section: The Conserving Nonlinear --Mean-field Approximationmentioning

confidence: 99%

“…The masses in (2. The nonlinear model is motivated by preserving the structure of Serot and Walecka's linear meanfield approximation [1], Lorentz-invariance and renormalizability, thermodynamic consistency, that is, Landau's hypothesis of quasiparticles [16,17], the Hugenholtz-Van Hove theorem [30], the virial theorem [31], and conditions of conserving approximations [9][10][11][12]. The concepts of effective masses and effective coupling constants are naturally generated by nonlinear interactions of mesons and baryons.…”

Section: The Conserving Nonlinear --Mean-field Approximationmentioning

confidence: 99%

“…mean-field theory, nonlinear mean-field approximations and nonlinear chiral models [4][5][6][7][8] have been applied to examine nuclear and high-density phenomena quantitatively. The nonlinear mixing and self interactions of mesons, nonlinear vertex interactions can be understood as many-body effects and are renormalized as effective masses, effective coupling constants and density-sources in the renormalizable meanfield models, which is one of the important results obtained from the conserving nonlinear mean-field approximation [9,10].…”

Section: Introductionmentioning

confidence: 99%

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Saturation Properties and Density-dependent Interactions among Nuclear and Hyperon Matter~!2009-05-26~!2009-09-30~!2009-12-23~!

Uechi¹,

Uechi²

2010

TONPPJ

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The density-dependent interrelations among properties of nuclear matter and hyperonic neutron stars are studied by applying the conserving nonlinear mean-field theory of hadrons. The nonlinear interactions that will be renormalized as effective coupling constants, effective masses and sources of equations of motion are constructed selfconsistently by maintaining thermodynamic consistency (the Hugenholtz-Van Hove theorem, conditions of conserving approximations) to the nonlinear mean-field (Hartree) approximation. The characteristic density-dependent properties among nuclear matter and hyperonic neutron stars appear by way of effective coupling constants and masses of hadrons; they are mutually interdependent and self-consistently constrained via the bulk properties of infinite matter, such as incompressibility, K , symmetry energy, α 4 , and maximum masses of neutron stars. Consequently, the densitydependence induced by nonlinear interactions of hadrons will determine and restrict the saturation properties (binding energy and density) of hyperons, hyperon-onset density and equation of state in high densities. The nonlinear hadronic mean-field and quark-based hadronic models will predict essentially different density-dependent behavior for hadrons in terms of effective masses and coupling constants, and discrepancies between the models are shown and discussed, which would improve and compensate for both approaches to nuclear physics.

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Section: Introductionmentioning

confidence: 54%

Section: The Conserving Nonlinear --Mean-field Approximationmentioning

confidence: 99%

Section: The Conserving Nonlinear --Mean-field Approximationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Saturation Properties and Density-dependent Interactions among Nuclear and Hyperon Matter~!2009-05-26~!2009-09-30~!2009-12-23~!

Uechi¹,

Uechi²

2010

TONPPJ

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“…i σ ω π =  ), are all equivalent to the Hartree (tadpole) approximation when nonlinear interactions are correctly renormalized as effective masses of nucleons and mesons, effective coupling constants, effective sources of equations of motions [1] [7] [8] [9] [10]. The renormalization of interactions is correctly defined and numerically checked by the requirement of thermodynamic consistency, conserving approximations, or the density functional theory (DFT) [17] [18] [19] [20] [21].…”

Section: Introductionmentioning

confidence: 99%

The Chiral Dirac-Hartree-Fock Approximation in QHD with Scalar Vertex Corrections

Uechi¹

2018

OALib

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A self-consistent chiral Dirac-Hartree-Fock (CDHF) approximation generated by an effective model of the (, , σ ω π) quantum hadrodynamics (QHD) is extended to include Lorentz-scalar self-consistent vertex corrections. The scalar vertex corrections are constructed with self-consistency of QHD and Bethe-Salpeter equation, and the resulting vertex corrections are diagrammatically equivalent to self-consistent Hedin approximation, which is termed Hedin-Dirac-Hartree-Fock (HDHF) approximation. The effective model of the (, , σ ω π) quantum hadrodynamics maintains the requirement of thermodynamic consistency and density-functional theory (DFT) to a good approximation. The HDFT approximation is applied to properties of nuclear matter and neutron stars.

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The Density‐Dependent Correlations among Observables in Nuclear Matter and Hyperon‐Rich Neutron Stars

Uechi¹,

Uechi

2009

Advances in High Energy Physics

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The conservingσ-ω-ρmean-field approximation with nonlinear interactions of hadrons has been applied to examine properties of nuclear matter and hyperonic neutron stars. The nonlinear interactions that will produce density-dependent effective masses and coupling constants of hadrons are included in order to examine density correlations among properties of nuclear matter and neutron stars such as binding energy, incompressibility,K, symmetry energy,a4, hyperon-onset density, and maximum masses of neutron stars. The conditions of conserving approximations in order to maintain thermodynamic consistency to an approximation are essential for the analysis of density-dependent correlations.

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Density-dependent correlations between properties of nuclear matter and neutron stars in a nonlinear mean-field approximation

Cited by 6 publications

References 53 publications

Saturation Properties and Density-dependent Interactions among Nuclear and Hyperon Matter~!2009-05-26~!2009-09-30~!2009-12-23~!

Saturation Properties and Density-dependent Interactions among Nuclear and Hyperon Matter~!2009-05-26~!2009-09-30~!2009-12-23~!

The Chiral Dirac-Hartree-Fock Approximation in QHD with Scalar Vertex Corrections

The Density‐Dependent Correlations among Observables in Nuclear Matter and Hyperon‐Rich Neutron Stars

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