Relativistic mean-field model with energy dependent self-energies
- GSI Helmholtzzentrum fur Schwerionenforschung GmbH, Darmstadt (Germany)
Conventional relativistic mean-field theory is extended with the introduction of higher-order derivative couplings of nucleons with the meson fields. The Euler-Lagrange equations follow from the principle of stationary action. From invariance principles of the Lagrangian density the most general expressions for the conserved current and energy-momentum tensor are derived. The nucleon self-energies show the explicit dependence on the meson fields. They contain additional regulator functions which describe the energy dependence. The density dependence of meson-nucleon couplings causes the apperance of additional rearrangement contributions in the self-energies. The equation of state of infinite nuclear matter is obtained and the thermodynamical consistency of the model is demonstrated. This model is applied to the description of spherical, non-rotating stars in β-equilibrium. Stellar structure is calculated by solving the Tolman-Oppenheimer-Volkov (TOV) equations. The results for neutron stars are shown in terms of mass-radius relations.
- OSTI ID:
- 22390982
- Journal Information:
- AIP Conference Proceedings, Vol. 1645, Issue 1; Conference: Carpathian Summer School of Physics 2014, Sinaia (Romania), 13-26 Jul 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
Similar Records
The role of magnetic fields in hyperon stars
Density dependent hadron field theory
Related Subjects
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ENERGY DEPENDENCE
ENERGY-MOMENTUM TENSOR
EQUATIONS OF STATE
INVARIANCE PRINCIPLES
LAGRANGE EQUATIONS
LAGRANGIAN FUNCTION
MEAN-FIELD THEORY
MESONS
NEUTRON STARS
NUCLEAR MATTER
NUCLEONS
RELATIVISTIC RANGE
SELF-ENERGY
STAR MODELS