# BL Lacertae: X-ray spectral evolution and a black-hole mass estimate

## TL;DR

This study analyzes 20 years of X-ray data from BL Lacertae, revealing spectral state transitions, estimating a black hole mass of about 30 million solar masses, and providing evidence for a black hole in this active galactic nucleus.

## Contribution

It introduces a comprehensive spectral analysis of BL Lacertae over two decades, applying the BMC model and Gamma-Mdot correlation to estimate black hole mass and confirm its presence.

## Key findings

- BL Lacertae exhibits spectral state transitions from low hard to high soft states.
- The black hole mass in BL Lac is estimated to be approximately 3×10^7 solar masses.
- The Gamma-Mdot correlation shows saturation at 2.2, confirming the black hole presence.

## Abstract

We present an analysis of the spectral properties observed in X-rays from active galactic nucleus BL Lacertae using RXTE, Suzaku, ASCA, BeppoSAX, and Swift observations. The total time covered by these observations is approximately 20 years. We show that this source undergoes X-ray spectral transitions from the low hard state (LHS) through the intermediate state (IS) to the high soft state (HSS) during these observations. During the RXTE observations (1997 -- 2001, {180 ks, for a total 145 datasets}), the source was approximately 75%, 20% and only 5 of the time in the IS, LHS, and HSS, respectively. We also used Swift observations (470 datasets, for a total 800 ks), which occurred during 12 years (2005 -- 2016), the (0.3 -- 200 keV) data of BeppoSAX (1997 -- 2000, 160 ks), and the (0.3 -- 10 keV) data of ASCA (1995 -- 1999, 160 ks). Two observations of Suzaku (2006, 2013; 50 ks) in combinations with long-term RXTE and Swift data-sets allow us to describe all spectral states of BL Lac. The spectra of BL Lac are well fitted by the bulk motion Comptonization (BMC) model for all spectral states. We have established the photon index saturation level, Gamma_{sat}=2.2+/-0.1, in the Gamma vs. mass accretion rate (Mdot) correlation. This Gamma-Mdot correlation allows us to estimate the black-hole (BH) mass in BL Lac to be M_{BH}~3x10^7 M_sol for a distance of 300 Mpc. For the BH mass estimate, we use the scaling method taking stellar-mass Galactic BHs 4U~1543--47 and GX~339--4 as reference sources. The Gamma-Mdot correlation revealed in BL Lac is similar to those in a number of stellar-mass Galactic BHs and two recently studied intermediate-mass extragalactic BHs. It clearly shows the correlation along with the very extended $\Gamma$ saturation at ~ 2.2. This is robust observational evidence for the presence of a BH in BL Lac.