Shock breakout from mildly relativistic ejecta in a dense wind: the case of EP260321a/SN~2026gzf

Abstract

We present shock breakout (SBO) modeling of the recently discovered X-ray transient EP260321a detected by the \textit{Einstein Probe} mission. Our semi-analytic model, based on our previous work, follows the interaction between a supernova ejecta with a mildly relativistic outer envelope and a dense, wind-like circumstellar medium (CSM) by using a thin-shell approximation that incorporates relativistic effects. We find that the observed properties of the X-ray emission are well explained by the breakout emission powered by a high-velocity envelope with a kinetic energy of $\sim3.5\times10^{49}\,\mathrm{erg}$ (excluding the supernova ejecta) and a dense wind characterized by a mass-loss rate of $\dot{M}\simeq1.2\times 10^{-3}(v_\mathrm{w}/10^3\,\mathrm{km\,s}^{-1})\,M_\odot\,\mathrm{yr}^{-1}$, where $v_\mathrm{w}$ is the wind velocity. The observed burst duration requires the dense CSM to extend up to $\sim350\,R_\odot$, corresponding to a CSM mass of $\sim 10^{-5}\,M_\odot$. These results demonstrate that SBO observations provide a sensitive probe of mass loss from stripped-envelope supernova progenitors shortly before core collapse.