Abstract
Using a large number of Rossi X-Ray Timing Explorer observations of Scorpius X-1, we present a detailed investigation of the transition layer and relativistic precession models (TLM and RPM, respectively). These models predict the existence of the invariant quantities: an inclination angle δ of the magnetospheric axis with the normal to the disk for the TLM and a neutron star (NS) mass MNS for the RPM. Theoretical predictions of both models are tested, and their self-consistency is checked. We establish the following: (1) The inferred δ-value is 556 ± 009. Correlation of the δ-values with the horizontal-branch oscillation (HBO) frequency is rather weak. (2) There is a strong correlation between an inferred MNS and the HBO frequency in the RPM frameworks. (3) We infer MNS for different assumptions regarding the relations between the HBO frequency νHBO and the nodal frequency νnod. We find that the inferred MNS = 2.7 ± 0.1 M☉ cannot be consistent with any equation of state of NS matter. We conclude that the RPM fails to describe the data while the TLM seems to be compatible.
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