Density-Dependent Properties of Hadronic Matter in an Extended Chiral (σ, π, ω) Mean-Field Model

Uechi, Schun T.; Uechi, Hiroshi

doi:10.4236/oalib.1102011

Cited by 3 publications

(3 citation statements)

References 31 publications

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“…The Fermi-liquid properties of nuclear matter at saturation; the maximum mass and radius of neutron stars. The linear , σ ω mean-field approximation (LHA) [1]) and the chiral Hartree approximation (CHA) [10]) are listed for comparison. The current scalar vertex corrections is denoted as Hedin-Dirac-Hartree-Fock (HDHF) approximation [34] [35].…”

Section: Numerical Results For Nuclear Matter and Neutron Starsmentioning

confidence: 99%

“…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%

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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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Section: Numerical Results For Nuclear Matter and Neutron Starsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Uechi¹

2018

OALib

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“…Relativistic hadronic models are also essential to examine nuclear fissions and cluster radioactivities in terms of conservation laws and self-consistency [40]- [42]. Astrophysical problems such as the formation of neutron stars require finite temperature and nonlinear hadronic approximations [15] [16] [33]; density and temperature inside stars will increase toward the center of a star, which is expected to produce pion condensations, hyperon generations and hadron-quark neutron stars [7] [8] [10] [31].…”

Section: Introductionmentioning

confidence: 99%

Landau Theory of Fermi Liquid in a Relativistic Nonlinear (σ, ω) Model at Finite Temperature

Uechi¹,

Uechi²

2016

OALib

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Fermi liquid properties of nuclear matter at finite temperature are studied by employing a relativistic nonlinear (σ, ω) model of quantum hadrodynamics (QHD). The relativistic nonlinear (σ, ω) model is one of the thermodynamically consistent QHD approximations. The QHD approximations maintain the fundamental requirement of density functional theory (DFT). Hence, the finite temperature nonlinear (σ, ω) mean-field approximation can be self-consistently constructed as a conserving approximation. Fermi liquid properties of nuclear matter, such as incompressibility, symmetry energy, first sound velocity and Landau parameters, are calculated with the nonlinear (σ, ω) mean-field approximation, and contributions of nonlinear interactions and finite temperature effects are discussed. Self-consistent structure to an employed approximation as conserving approximation is essential to examine physical quantities at finite temperature. Finite-temperature effects are not large at high density, however, the Fermi ground state, density of states and Fermi-liquid properties may be varied noticeably with a finite temperature (  T 10 MeV ) at low densities. Low-density finite-temperature and high-density finite-temperature experiments might exhibit physically different results, which should be investigated to understand nuclear manybody phenomena.

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Thermodynamic Consistency and Thermomechanical Dynamics (TMD) for Nonequilibrium Irreversible Mechanism of Heat Engines

Uechi¹,

Uechi²,

Uechi³

2021

JAMP

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The irreversible mechanism of heat engines is studied in terms of thermodynamic consistency and thermomechanical dynamics (TMD) which is proposed for a method to study nonequilibrium irreversible thermodynamic systems. As an example, a water drinking bird (DB) known as one of the heat engines is specifically examined. The DB system suffices a rigorous experimental device for the theory of nonequilibrium irreversible thermodynamics. The DB nonlinear equation of motion proves explicitly that nonlinear differential equations with time-dependent coefficients must be classified as independent equations different from those of constant coefficients. The solutions of nonlinear differential equations with time-dependent coefficients can express emergent phenomena: nonequilibrium irreversible states. The couplings among mechanics, thermodynamics and time-evolution to nonequilibrium irreversible state are defined when the internal energy, thermodynamic work, temperature and entropy are integrated as a spontaneous thermodynamic process in the DB system. The physical meanings of the time-dependent entropy, ( ) ( ) d T t t  , internal energy, ( ) d t  , and thermodynamic work, ( )dW t , are defined by the progress of time-dependent Gibbs relation to thermodynamic equilibrium. The thermomechanical dynamics (TMD) approach constitutes a method for the nonequilibrium irreversible thermodynamics and transport processes.

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Density-Dependent Properties of Hadronic Matter in an Extended Chiral (σ, π, ω) Mean-Field Model

Cited by 3 publications

References 31 publications

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

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

Landau Theory of Fermi Liquid in a Relativistic Nonlinear (σ, ω) Model at Finite Temperature

Thermodynamic Consistency and Thermomechanical Dynamics (TMD) for Nonequilibrium Irreversible Mechanism of Heat Engines

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