Mass evolution of broad-line regions to explain the luminosity variability of broad Hα in the tidal disruption event ASASSN-14li

We propose an oversimplified model to explain the different variability trends in the observed broad Hα emission line luminosity, L_{Hα(t), and the tidal disruption event (TDE) model-determined bolometric luminosity, Lbol(t), of the TDE ASASSN-14li. Assuming that broad emission line regions (BLRs) in the central accretion disk are related to materials accreted onto the central black hole of a TDE, the mass evolution of central BLRs, MBLRs(t), can be determined as the maximum mass, MBLRs, 0, of central BLRs minus the corresponding accreted mass in a TDE. Meanwhile, through the simple linear dependence of broad Balmer emission line luminosity on the mass of BLRs, the mass evolution of central BLRs, MBLRs(t), can be applied to describe the observed LHα(t). Although our proposed model is oversimplified – with only one free model parameter, MBLRs, 0 – with MBLRs, 0 ∼ 0.02 M⊙, it describes the observed LHα(t) in the TDE ASASSN-14li well. Meanwhile, the oversimplified model also roughly describes the observed LHα(t) in the TDE ASASSN-14ae. The reasonable descriptions of the observed LHα(t) in ASASSN-14li and ASASSN-14ae indicate that our oversimplified model is probably efficient enough to describe mass evolutions of MBLRs related to central accreted debris in TDEs.}