Spin Constraints on 4U 1630-47 via combined Continuum Fitting and Reflection methods: a comparative study using Frequentist and Bayesian statistics

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Main Authors: Das, Debtroy, Liu, Honghui, Zhang, Zuobin, Bambi, Cosimo, Jiang, Jiachen, Buchner, Johannes, Santangelo, Andrea, Zhou, Menglei
Format: Preprint
Published: 2025
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author Das, Debtroy
Liu, Honghui
Zhang, Zuobin
Bambi, Cosimo
Jiang, Jiachen
Buchner, Johannes
Santangelo, Andrea
Zhou, Menglei
author_facet Das, Debtroy
Liu, Honghui
Zhang, Zuobin
Bambi, Cosimo
Jiang, Jiachen
Buchner, Johannes
Santangelo, Andrea
Zhou, Menglei
contents We present a comprehensive Bayesian spectral analysis of the black hole X-ray binary 4U 1630-47 during its 2022 outburst, using simultaneous \textit{NICER} and \textit{NuSTAR} observations. Using the traditional frequentist approach, we build our model combining reflection spectroscopy with continuum fitting techniques and analyse the data. In the Bayesian framework, we jointly constrain the black hole's spin, mass, inclination, and distance within a unified framework. Employing nested sampling, we capture parameter degeneracies and rigorously propagate both statistical and systematic uncertainties. Our results yield robust and precise spin measurements from both approaches. Our Bayesian analysis fetches spin $a_*= 0.93_{-0.04}^{+0.05}$, mass $M_{\rm BH} = 9.0_{-2.0}^{+2.0} \, M_\odot$, distance $d_{\rm BH} = 10.5_{-1.2}^{+1.3}$~kpc, and inclination angle $i=53.8_{-1.3}^{+1.3}$~deg. It also demonstrates the power of Bayesian inference in fetching valuable insights into the complex physics of black hole accretion and enabling high-confidence measurements of fundamental parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2509_09481
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Spin Constraints on 4U 1630-47 via combined Continuum Fitting and Reflection methods: a comparative study using Frequentist and Bayesian statistics
Das, Debtroy
Liu, Honghui
Zhang, Zuobin
Bambi, Cosimo
Jiang, Jiachen
Buchner, Johannes
Santangelo, Andrea
Zhou, Menglei
High Energy Astrophysical Phenomena
We present a comprehensive Bayesian spectral analysis of the black hole X-ray binary 4U 1630-47 during its 2022 outburst, using simultaneous \textit{NICER} and \textit{NuSTAR} observations. Using the traditional frequentist approach, we build our model combining reflection spectroscopy with continuum fitting techniques and analyse the data. In the Bayesian framework, we jointly constrain the black hole's spin, mass, inclination, and distance within a unified framework. Employing nested sampling, we capture parameter degeneracies and rigorously propagate both statistical and systematic uncertainties. Our results yield robust and precise spin measurements from both approaches. Our Bayesian analysis fetches spin $a_*= 0.93_{-0.04}^{+0.05}$, mass $M_{\rm BH} = 9.0_{-2.0}^{+2.0} \, M_\odot$, distance $d_{\rm BH} = 10.5_{-1.2}^{+1.3}$~kpc, and inclination angle $i=53.8_{-1.3}^{+1.3}$~deg. It also demonstrates the power of Bayesian inference in fetching valuable insights into the complex physics of black hole accretion and enabling high-confidence measurements of fundamental parameters.
title Spin Constraints on 4U 1630-47 via combined Continuum Fitting and Reflection methods: a comparative study using Frequentist and Bayesian statistics
topic High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2509.09481