TITLE:
The Effective Chiral Model of Quantum Hadrodynamics Applied to Nuclear Matter and Neutron Stars
AUTHORS:
Hiroshi Uechi
KEYWORDS:
A Relativistic Field Theory of Nuclei: Quantum Hadrodynamics (QHD), The Equivalence of Mean-Field Approximations and Hartree Approximation, Density Functional Theory (DFT), Maximum Masses of Neutron Stars
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.2,
January
30,
2015
ABSTRACT: We review theoretical relations
between macroscopic properties of neutron stars and microscopic quantities of
nuclear matter, such as consistency of hadronic nuclear models and observed
masses of neutron stars. The relativistic hadronic field theory, quantum
hadrodynamics (QHD), and mean-field approximations of the theory are applied to
saturation properties of symmetric nuclear and neutron matter. The equivalence
between mean-field approximations and Hartree approximation is emphasized in
terms of renormalized effective masses and effective coupling constants of
hadrons. This is important to prove that the direct application of mean-field
(Hartree) approximation to nuclear and neutron matter is inadequate to examine
physical observables. The equations of state (EOS), binding energies of nuclear
matter, self-consistency of nuclear matter, are reviewed, and the result of
chiral Hartree-Fock
approximation is
shown. Neutron stars and history of nuclear astrophysics, nuclear model and nuclear
matter, possibility of hadron and hadron-quark neutron stars are briefly
reviewed. The hadronic models are very useful and practical for understanding
astrophysical phenomena, nuclear matter and radiation phenomena of nuclei.