Relativistic mean-field model with energy dependent self-energies

Journal Article · Tue Feb 24 04:00:00 EST 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4909585· OSTI ID:22390982

Antic, S.; Typel, S. ^[1]

---

1. 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, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1645; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
79 ASTRONOMY AND ASTROPHYSICS
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