Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991stin...9214941w&link_type=abstract
Presented at the International Summer School on Nuclear Astrophysics, Tianjin (China), 17-27 Jun. 1991
Astronomy and Astrophysics
Astrophysics
Energy Spectra, Mathematical Models, Nucleon Potential, Pulsars, Relativity, Stellar Rotation, Baryons, Equations Of State, Green'S Functions, Relativistic Velocity, Stellar Mass
Scientific paper
Models of rotating neutron stars are constructed in the framework of Einstein's theory of general relativity. For this purpose a refined version of Hartle's method is applied. The properties of these objects, e.g., gravitational mass, equatorial and polar radius, eccentricity, red- and blueshift, quadrupole moment, are investigated for Kepler frequencies of 4000/s less than OmegaK less than 9000/s. Therefore a self-consistency problem inherent in the determination of OmegaK must be solved. The investigation is based on neutron star matter equations of state derived from the relativistic Martin-Schwinger hierarch of coupled Green's functions. By means of introducing the Hartree, Hartree-Fock, and ladder (Lambda) approximations, models of the equation of states are derived. A special feature of the latter approximation scheme is the inclusion of dynamical two-particle correlations. These have been calculated from the relativistic T-matrix applying both the HEA and Bonn meson-exchange potentials of the nucleon-nucleon force. The nuclear forces of the former two treatments are those of the standard scalar-vector-isovector model of quantum hadron dynamics, with parameters adjusted to the nuclear matter data. An important aspect of this work consists in testing the compatibility of different competing models of the nuclear equation of state with data on pulsar periods. By this the fundamental problem of nuclear physics concerning the behavior of the equation of state at supernuclear densities can be treated.
Glendenning Norman K.
Weber Fridolin
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