Nuclear matter properties and relativistic mean-field theory

Abstract

Nuclear matter properties are calculated in the relativistic mean field theory by using a number of different parameter sets. The result shows that the volume energy $a_1$ and the symmetry energy $J$ are around the acceptable values 16MeV and 30MeV respectively; the incompressibility $K_0$ is unacceptably high in the linear model, but assumes reasonable value if nonlinear terms are included; the density symmetry $L$ is around $100MeV$ for most parameter sets, and the symmetry incompressibility $K_s$ has positive sign which is opposite to expectations based on the nonrelativistic model. In almost all parameter sets there exists a critical point $({\rho }_c,{\delta }_c)$, where the minimum and the maximum of the equation of state are coincident and the incompressibility equals zero, falling into ranges 0.014fm${}^{-3}<{\rho }_c<0.039$fm${}^{-3}$ and $0.74<{\delta }_c\le 0.95$; for a few parameter sets there is no critical point and the pure neutron matter is predicted to be bound. The maximum mass $M_{NS}$ of neutron stars is predicted in the range 2.45M${}_{\odot }\le M_{NS}\le 3.26$M${}_{\odot }$, the corresponding neutron star radius $R_{NS}$ is in the range 12.2km$\le R_{NS}\le 15.1$km.

10 pages, 5 figures

Cited by in corpus (4)

• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• High Resolution Calculations of Merging Neutron Stars I: Model Description and Hydrodynamic Evolution
• Compiled Properties of Nucleonic Matter and Nuclear and Neutron Star Models from Non-Relativistic and Relativistic Interactions
• Correlations between the nuclear matter symmetry energy, its slope, and curvature from a nonrelativistic solvable approach and beyond