Spectral characteristics of the black hole binary 4U 1957+115: A multi-mission perspective

We report spectral analysis of the persistent black hole X-ray binary, 4U 1957+115, using AstroSat, Swift and NuSTAR observations carried out between 2016-2019. Modelling with a disk emission, thermal comptonization and blurred reflection components revealed that the source was in the high soft state with the disk flux $\sim 87$ % of the total and high energy photon index $\sim2.6$. There is an evidence that either the inner disk radius varied by $\sim25$ % or the colour hardening factor changed by $\sim12$ %. The values of the inner disk radius imply that for a non-spinning black hole, the black hole mass is $<7$ M$_\odot$ and the source is located $>30$ kpc away. On the other hand, a rapidly spinning black hole would be consistent with the more plausible black hole mass of $< 10$ M$_\odot$ and a source distance of $\sim10$ kpc. Fixing the distance to $10$ kpc and using a relativistic accretion disk model, constrained the black hole mass to 6 M$_\odot$ and inclination angle to 72$^{\circ}$. A positive correlation is detected between the accretion rate and inner radii or equivalently between the accretion rate and colour factor.