Stellar Mergers Are Common
C.S. Kochanek (1), Scott M. Adams (1), Krzysztof Belczynski (2,3) ((1), Department of Astronomy, the Center for Cosmology, AstroParticle, Physics, The Ohio State University, (2) Astronomical Observatory, Warsaw, University, (3) Center for Gravitational Wave Astronomy

TL;DR
This paper estimates the frequency and luminosity distribution of stellar mergers in the Galaxy, finding they are common with rates around 0.3-0.5 per year, and discusses their relation to progenitor masses and existing surveys.
Contribution
It provides the first comprehensive rate estimates and luminosity functions for Galactic stellar mergers, linking observations to progenitor mass functions and binary evolution models.
Findings
Galactic stellar merger rate is approximately 0.3-0.5 per year.
Luminosity function follows roughly dN/dL ∝ L^(-1.4).
Peak luminosity scales steeply with progenitor mass, L ∝ M^(2-3).
Abstract
The observed Galactic rate of stellar mergers or the initiation of common envelope phases brighter than M_V=-3 (M_I=-4) is of order 0.5 (0.3)/year with 90% confidence statistical uncertainties of 0.24-1.1 (0.14-0.65) and factor of 2 systematic uncertainties. The (peak) luminosity function is roughly dN/dL L^(-1.4+/-0.3), so the rates for events more luminous than V1309 Sco (M_V=-7 mag) or V838Mon (M_V=-10 mag) are lower at r~0.1/year and 0.03/year, respectively. The peak luminosity is a steep function of progenitor mass, L M^(2-3). This very roughly parallels the scaling of luminosity with mass on the main sequence, but the transients are ~2000-4000 times more luminous at peak. Combining these, the mass function of the progenitors, dN/dM M^(-2.0+/-0.8), is consistent with the initial mass function, albeit with broad uncertainties. These observational results are also broadly consistent…
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