Synchrotron Afterglow Model for AT 2022cmc: Jetted Tidal Disruption Event or Engine-Powered Supernova?

AT 2022cmc is a luminous optical transient ($\nu L_{\nu} \gtrsim 10^{45}$ erg s$^{-1}$) accompanied by decaying non-thermal X-rays (peak duration $t_{\rm X} \lesssim$ days and isotropic energy $E_{\rm X,iso} \gtrsim 10^{53}$ erg) and a long-lived radio/mm synchrotron afterglow, which has been interpreted as a jetted tidal disruption event (TDE). Both an equipartition analysis and a detailed afterglow model reveals the radio/mm emitting plasma to be expanding mildly relativistically (Lorentz factor $\Gamma \gtrsim\,few$) with an opening angle $\theta_{\rm j}\simeq0.1$ and roughly fixed energy $E_{\rm j,iso} \gtrsim few \times 10^{53}$ erg into an external medium of density profile $n \propto R^{-k}$ with $k \simeq 1.5-2$, broadly similar to that of the first jetted TDE candidate Swift J1644+57 and consistent with Bondi accretion at a rate $\sim 10^{-3}\dot{M}_{\rm Edd}$ onto a $10^{6}M_{\odot}$ black hole before the outburst. The rapidly decaying optical emission over the first days is consistent with fast-cooling synchrotron radiation from the same forward shock as the radio/mm emission, while the bluer slowly decaying phase to follow likely represents a separate thermal emission component. Emission from the reverse shock may have peaked during the first days, but whose non-detection in the optical band places an upper bound $\Gamma_{\rm j} \lesssim 100$ on the Lorentz factor of the unshocked jet. Although a TDE origin for AT 2022cmc is indeed supported by some observations, the vast difference between the short-lived jet activity phase $t_{\rm X} \lesssim$ days relative to the months-long thermal optical emission, also challenges this scenario. A stellar core-collapse event giving birth to a magnetar or black hole engine of peak duration $\sim 1$ day offers an alternative model also consistent with the circumburst environment, if interpreted as a massive-star wind.Comment: 11 pages, 9 figures, 2 tables, accepted for publication in MNRA

Light Curve Model for Luminous Red Novae and Inferences about the Ejecta of Stellar Mergers

The process of unstable mass transfer in a stellar binary can result in either a complete merger of the stars or successful removal of the donor envelope leaving a surviving more compact binary. "Luminous red nova" (LRN) are the class of optical transients believed to accompany such merger/common envelope events. Past works typically model LRNe using analytic formulae for supernova light curves which make assumptions (e.g., radiation dominated ejecta, neglect of hydrogen recombination energy) not justified in stellar mergers due to the lower velocities and specific thermal energy of the ejecta. We present a one-dimensional model of LRN light curves, which accounts for these effects. Consistent with observations, we find that LRNe typically possess two light curve peaks, an early phase powered by initial thermal energy of the hot, fastest ejecta layers and a later peak powered by hydrogen recombination from the bulk of the ejecta. We apply our model to a sample of LRNe to infer their ejecta properties (mass, velocity, and launching radius) and compare them to the progenitor donor star properties from pre-transient imaging. We define a maximum luminosity achievable for a given donor star in the limit that the entire envelope is ejected, finding that several LRNe violate this limit. Shock interaction between the ejecta and pre-dynamical mass-loss, may provide an additional luminosity source to alleviate this tension. Our model can also be applied to the merger of planets with stars or stars with compact objects.Comment: 24 pages, 13 figures, 1 table, accepted for publication in Ap