Relativistic mean-field model with energy dependent self-energies
Abstract
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.
- Authors:
-
- GSI Helmholtzzentrum fur Schwerionenforschung GmbH, Darmstadt (Germany)
- Publication Date:
- OSTI Identifier:
- 22390982
- Resource Type:
- Journal Article
- Journal Name:
- AIP Conference Proceedings
- Additional Journal Information:
- Journal Volume: 1645; Journal 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); Journal ID: ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 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
Citation Formats
Antic, S., and Typel, S. Relativistic mean-field model with energy dependent self-energies. United States: N. p., 2015.
Web. doi:10.1063/1.4909585.
Antic, S., & Typel, S. Relativistic mean-field model with energy dependent self-energies. United States. https://doi.org/10.1063/1.4909585
Antic, S., and Typel, S. 2015.
"Relativistic mean-field model with energy dependent self-energies". United States. https://doi.org/10.1063/1.4909585.
@article{osti_22390982,
title = {Relativistic mean-field model with energy dependent self-energies},
author = {Antic, S. and Typel, S.},
abstractNote = {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.},
doi = {10.1063/1.4909585},
url = {https://www.osti.gov/biblio/22390982},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1645,
place = {United States},
year = {Tue Feb 24 00:00:00 EST 2015},
month = {Tue Feb 24 00:00:00 EST 2015}
}