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The First X-ray Polarimetry of GRS 1739--278 Reveals Its Rapidly Spinning Black Hole

Qing-Chang Zhao, Michal Dovciak, Han-Cheng Li, Lian Tao, Hua Feng, Federico Vincentelli, Giorgio Matt, Philip Kaaret, Shuang-Nan Zhang

TL;DR

This study reports the first X-ray polarization detection of the black hole X-ray binary GRS 1739–278 during a 2025 soft-state outburst using IXPE and NuSTAR. Model-independent and spectro-polarimetric analyses show an energy-dependent polarization, with the PD rising toward higher energies, consistent with a substantial contribution from returning radiation rather than direct disk emission alone. Self-consistent modeling with kynbbrr yields an extreme spin of $a=0.994^{+0.004}_{-0.003}$ and an inclination of $i=54^{+8}_{-4}$ degrees, with the polarization dominated by returning radiation that aligns with the projected system axis ($\psi=58\pm4^\circ$). This work demonstrates that X-ray polarimetry can directly probe relativistic disk geometry and spin in stellar-mass black holes and motivates future time-resolved polarization studies with upcoming missions.

Abstract

We present a joint spectro-polarimetric analysis of the black hole X-ray binary GRS~1739--278 during its 2025 mini-outburst, using simultaneous observations from \ixpe\ and \nustar. The \ixpe\ data show a polarization degree of ${\rm PD} = (2.3 \pm 0.4)\%$ and a polarization angle of ${\rm PA} = 62^\circ \pm 5^\circ$ in the 2--8~keV range. The model-independent analysis reveals that the PD increases from $\sim 2\%$ at 2~keV to $\sim 10\%$ in the 6--8~keV band, while the PA remains stable across the \ixpe\ band within statistical uncertainties. Broadband spectral modeling of the combined \ixpe\ and \nustar\ datasets shows that hard Comptonization contributes negligibly in this soft-state observation, while a substantial reflected component is required in addition to the thermal disk emission. We then model the \ixpe\ Stokes spectra using the \texttt{kynbbrr} model. The best-fitting results indicate that high-spin configurations enhance the contribution of reflected returning radiation, which dominates the observed polarization properties. From the \texttt{kynbbrr} modeling, we infer an extreme black hole spin of $a = 0.994^{+0.004}_{-0.003}$ and a system inclination of $i = 54^\circ{}^{+8^\circ}_{-4^\circ}$. Owing to the large contribution from returning radiation, the observed polarization direction is nearly parallel to the projected system axis, the position angle of which is predicted to be $58^\circ \pm 4^\circ$. Our results demonstrate that X-ray polarimetry, combined with broadband spectroscopy, directly probes the geometry and relativistic effects in accretion disks around stellar-mass black holes.

The First X-ray Polarimetry of GRS 1739--278 Reveals Its Rapidly Spinning Black Hole

TL;DR

This study reports the first X-ray polarization detection of the black hole X-ray binary GRS 1739–278 during a 2025 soft-state outburst using IXPE and NuSTAR. Model-independent and spectro-polarimetric analyses show an energy-dependent polarization, with the PD rising toward higher energies, consistent with a substantial contribution from returning radiation rather than direct disk emission alone. Self-consistent modeling with kynbbrr yields an extreme spin of and an inclination of degrees, with the polarization dominated by returning radiation that aligns with the projected system axis (). This work demonstrates that X-ray polarimetry can directly probe relativistic disk geometry and spin in stellar-mass black holes and motivates future time-resolved polarization studies with upcoming missions.

Abstract

We present a joint spectro-polarimetric analysis of the black hole X-ray binary GRS~1739--278 during its 2025 mini-outburst, using simultaneous observations from \ixpe\ and \nustar. The \ixpe\ data show a polarization degree of and a polarization angle of in the 2--8~keV range. The model-independent analysis reveals that the PD increases from at 2~keV to in the 6--8~keV band, while the PA remains stable across the \ixpe\ band within statistical uncertainties. Broadband spectral modeling of the combined \ixpe\ and \nustar\ datasets shows that hard Comptonization contributes negligibly in this soft-state observation, while a substantial reflected component is required in addition to the thermal disk emission. We then model the \ixpe\ Stokes spectra using the \texttt{kynbbrr} model. The best-fitting results indicate that high-spin configurations enhance the contribution of reflected returning radiation, which dominates the observed polarization properties. From the \texttt{kynbbrr} modeling, we infer an extreme black hole spin of and a system inclination of . Owing to the large contribution from returning radiation, the observed polarization direction is nearly parallel to the projected system axis, the position angle of which is predicted to be . Our results demonstrate that X-ray polarimetry, combined with broadband spectroscopy, directly probes the geometry and relativistic effects in accretion disks around stellar-mass black holes.
Paper Structure (18 sections, 1 equation, 7 figures, 2 tables)

This paper contains 18 sections, 1 equation, 7 figures, 2 tables.

Figures (7)

  • Figure 1: Evolution of GRS 1739$-$278 during the 2025 outburst. (a) MAXI light curve in the 2--20 keV band. The time of the IXPE observation is indicated by the shaded red strip. (b) Same as panel (a), but for the hardness ratio, defined as the count-rate ratio between 4--10 keV and 2--4 keV. Panels (c) show the IXPE (2--8 keV; green) and NuSTAR (4--30 keV; orange) count-rate light curves , respectively, computed with a bin size of 500 s. Panels (d) present the corresponding hardness ratios, defined as the count-rate ratios between 4--8 keV and 2--4 keV for IXPE, and between 10--30 keV and 4--10 keV for NuSTAR. (e) Hardness–intensity diagram (HID) of the 2025 outburst (blue) compared with that of the 2014 outburst (gray). The red point marks the location of the IXPE observation.
  • Figure 2: Polarization contours and energy dependence. (a) Polarization contours in the 2--8 keV band obtained with the PCUBE (green), XSPEC (orange), and Bayesian (cyan) methods, shown at the 1$\sigma$, 2$\sigma$, and 3$\sigma$ confidence levels. (b) Bayesian PA–PD contours for the 2–6 keV (purple) and 6–8 keV (pink) bands. (c) PD versus energy. The black solid and violet-blue dashed lines indicate the constant and bimodal fits, respectively. (d) PA versus energy, with the light-blue shaded region marking the energy-averaged PA (1$\sigma$ uncertainty).
  • Figure 3: Spectral fit of the joint IXPE and NuSTAR data with the model constant*tbabs*(diskbb+powerlaw+relxillNS). (a) Unfolded spectra with individual model components shown. (b) Residuals from the fit without the relxillNS component. (c) Residuals for the best-fit model including relxillNS.
  • Figure 4: a) The decomposition of the best-fit-model total flux (TOT) into the direct thermal radiation (DR) and reflected radiation (RR) due to the disk self-irradiation given by the kynbbrr model. b) Similar to a) but for the PD. c) Similar to b) but for the PA.
  • Figure 5: (a) The spin--inclination and (b) the spin--albedo contour graphs produced with the XSPECsteppar command. The 1-, 2- and 3-$\sigma$ values are denoted by dotted, dashed and dash-dotted lines, respectively, while the best fit is shown by a plus sign.
  • ...and 2 more figures