Measuring Neutron Star Mass and Radius with Three Mass-Radius Relations

Abstract

We propose to determine the mass and the radius of a neutron star (NS) using three measurable mass-radius relationships, namely the ``apparent'' radius inferred from neutron star thermal emission, the gravitational redshift inferred from the absorption lines, as well as the averaged stellar mass density inferred from the orbital Keplerian frequency derived from the kilohertz quasi periodic oscillation (kHz QPO) data. We apply the method to constrain the NS mass and the radius of the X-ray sources, 1E 1207.4-5209, Aql X-1 and EXO 0748-676.

8 pages, 3 figures, accepted by MNRAS

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• Effects of a weakly interacting light U boson on the nuclear equation of state and properties of neutron stars in relativistic models
• Binary Pulsars in Magnetic Field versus Spin Period Diagram
• Symmetry energy and neutron star properties in the saturated Nambu-Jona-Lasinio model
• Small radii of neutron stars as an indication of novel in-medium effects
• Magnetars as Highly Magnetized Quark Stars: an analytical treatment
• Rotational parameters of strange stars in comparison with neutron stars
• The effects of strong magnetic fields on the neutron star structure: lowest order constrained variational calculations
• Does Sub-millisecond Pulsar XTE J1739-285 Contain a Low Magnetic Neutron Star or Quark Star ?
• Equation of state and hybrid star properties with the weakly interacting light U-boson in relativistic models
• The effect of dynamical quark mass in the calculation of strange quark star structure
• Simultaneous observations of a pair of kilohertz QPOs and a plausible 1860 Hz QPO from an accreting neutron star system
• Strange stars properties calculated in the framework of the Field Correlator Method
• Observational constraints on quark matter in neutron stars
• Constraining the mass and moment of inertia of neutron stars from quasi-periodic oscillations in X-ray binaries
• The kHz QPOs of Neutron Stars and Millisecond Pulsars and Implications
• Low mass strange stars and the compact star 1E1207.4-5209 in the Field Correlator Method