In-plane Tidal Disruption of Stars in Disks of Active Galactic Nuclei

Stars embedded in active galactic nucleus (AGN) disks or captured by them may scatter onto the supermassive black hole (SMBH), leading to a tidal disruption event (TDE). Using the moving-mesh hydrodynamics simulations with {\small AREPO}, we investigate the dependence of debris properties in in-plane TDEs in AGN disks on the disk density and the orientation of stellar orbits relative to the disk gas (pro- and retro-grade). Key findings are: 1) Debris experiences continuous perturbations from the disk gas, which can result in significant and continuous changes in debris energy and angular momentum compared to `naked' TDEs. 2) Above a critical density of a disk around a SMBH with mass $M_{\bullet}$ ($\rho_{\rm crit} \sim 10^{-8}{\rm g~cm^{-3}}(M_{\bullet}/10^{6}{\rm M}_{\odot})^{-2.5}$) for retrograde stars, both bound and unbound debris is fully mixed into the disk. The density threshold for no bound debris return, inhibiting the accretion component of TDEs, is $\rho_{\rm crit,bound} \sim 10^{-9}{\rm g~cm^{-3}}(M_{\bullet}/10^{6}{\rm M}_{\odot})^{-2.5}$. 3) Observationally, AGN-TDEs transition from resembling naked TDEs in the limit of $\rho_{\rm disk}\lesssim 10^{-2}\rho_{\rm crit,bound}$ to fully muffled TDEs with associated inner disk state changes at $\rho_{\rm disk}\gtrsim\rho_{\rm crit,bound}$, with a superposition of AGN+TDE in between. Stellar or remnant passages themselves can significantly perturb the inner disk. This can lead to an immediate X-ray signature and optically detectable inner disk state changes, potentially contributing to the changing-look AGN phenomenon. 4) Debris mixing can enriches the average disk metallicity over time if the star's metallicity exceeds that of the disk gas.