Black hole spin estimation of XTE J2012+381 using simultaneous observations of Swift/XRT and NuSTAR

A sufficiently precise measurement of black hole spin is required to carry out quantitative tests of the Kerr metric and to understand several phenomena related to astrophysical black holes. After 24 yr, XTE J2012+381 again underwent an outburst in 2022 December. In this work, we focused on the measurement of the spin and mass of the black hole candidate XTE J2012+381 using broad-band spectral analysis of X-ray data from Swift/XRT and NuSTAR. Using the relxillCp model, the spin and inclination of the source were found to be 0.883-0.061+0.033 and 46.2-2.0+3.7 deg, respectively, for high disc density (i.e.\,\,10²⁰\,\,cm⁻³). We further test our results for lamp-post geometry using the relxilllpCp model. The spin and inclination of the source were found to be 0.892-0.044+0.020 and 43.1-1.2+1.4 deg, respectively. Then ‘continuum-fitting’ method was used for the soft state to estimate the mass of BH and found to be 7.95-3.25+7.65\,\,M and 7.48-2.75+5.80\,\,M for the spin and inclination estimated from the relxillCp and relxilllpCp model, respectively. We used a distance of 5.4 kpc as measured by Gaia using the parallax method. This study also addresses the issue of supersolar iron abundance in XTE J2012+381 using reflionx-based reflection model and found high disc density for the source.