Testing magnetospheric accretion as an H$\alpha$ emission mechanism of embedded giant planets: The case study for the disk exhibiting meridional flow around HD 163296

Abstract

Recent high-sensitivity observations reveal that accreting giant planets embedded in their parental circumstellar disks can emit H$\alpha$ at their final formation stages. While the origin of such emission is not determined yet, magnetospheric accretion is currently a most plausible hypothesis. In order to test this hypothesis further, we develop a simplified, but physical-based model and apply it to our observations taken toward HD 163296 with Subaru/SCExAO+VAMPIRES. We specify under what conditions, embedded giant planets can undergo magnetospheric accretion and emit hydrogen lines. We find that when stellar accretion rates are high, magnetospheric accretion becomes energetic enough to self-regulate the resulting emission. On the other hand, if massive planets are embedded in disks with low accretion rates, earlier formation histories determine whether magnetospheric accretion occurs. We explore two different origins of hydrogen emission lines (magnetospheric accretion flow heated by accretion-related processes vs planetary surfaces via accretion shock). The corresponding relationships between the accretion and line luminosities dictate that emission from accretion flow achieves higher line flux than that from accretion shock and the flux decreases with increasing wavelengths (i.e., from H$\alpha$ to Pa$\beta$ and up to Br$\gamma$). Our observations do not detect any point-like source emitting H$\alpha$ and are used to derive the 5$\sigma$ detection limit. The observations are therefore not sensitive enough, and reliable examination of our model becomes possible if observational sensitivity will be improved by a factor of ten or more. Multi-band observations increase the possibility of efficiently detecting embedded giant planets and carefully determining the origin of hydrogen emission lines.