Radius Constraints from Reflection Modeling of Cygnus X-2 with NuSTAR and NICER

TL;DR

This study uses NuSTAR and NICER X-ray observations of Cygnus X-2 to constrain the neutron star's radius through reflection modeling, providing limits consistent with other astrophysical measurements.

Contribution

It presents the first detailed reflection-based radius constraints for Cygnus X-2 using simultaneous NuSTAR and NICER data, employing two independent spectral models.

Findings

Inner disk radius is close to the neutron star, within 1.15 times the ISCO.

Inclination angle estimates agree with optical observations.

Radius upper limits are consistent with gravitational wave and pulsar measurements.

Abstract

We present a spectral analysis of NuSTAR and NICER observations of the luminous, persistently accreting neutron star (NS) low-mass X-ray binary Cygnus X-2. The data were divided into different branches that the source traces out on the Z-track of the X-ray color-color diagram; namely the horizontal branch, normal branch, and the vertex between the two. The X-ray continuum spectrum was modeled in two different ways that produced a comparable quality fit. The spectra showed clear evidence of a reflection component in the form of a broadened Fe K line, as well as a lower energy emission feature near 1 keV likely due to an ionized plasma located far from the innermost accretion disk. We account for the reflection spectrum with two independent models (relxillns and rdblur*rfxconv). The inferred inclination is in agreement with earlier estimates from optical observations of ellipsoidal light curve modeling (relxillns: $i=67^{\circ}\pm4^{\circ}$, rdblur*rfxconv: $i=60^{\circ}\pm10^{\circ}$). The inner disk radius remains close to the NS ($R_{\rm in}\leq1.15\ R_{\mathrm{ISCO}}$) regardless of the source position along the Z-track or how the 1 keV feature is modeled. Given the optically determined NS mass of $1.71\pm0.21\ M_{\odot}$, this corresponds to a conservative upper limit of $R_{\rm in}\leq19.5$ km for $M=1.92\ M_{\odot}$ or $R_{\rm in}\leq15.3$ km for $M=1.5\ M_{\odot}$. We compare these radius constraints to those obtained from NS gravitational wave merger events and recent NICER pulsar light curve modeling measurements.