New theoretical instability regions and pulsational masses for blue large-amplitude pulsators

Blue large-amplitude pulsators (BLAPs) are a recently discovered group of hot pulsating stars whose evolutionary status remains uncertain. We study the pulsation characteristics of BLAPs for the two main mass scenarios, $ 0.3 - 0.4 \: \rm M_{\odot} $ and $ 0.7 - 1.1 \: \rm M_{\odot} $, and compare them with observations to find evidence for either scenario. We compute about a half million linear BLAP models using MESA-RSP and compare the linear pulsation periods with the observed ranges of BLAP stars. For the low-mass scenario, BLAPs are in a region of the HR diagram where the growth rates are positive for the fundamental mode, and the model periods correspond well to the observed ones, assuming the reported luminosities of $ \sim 200 \: \rm L_{\odot} $. For the high-mass scenario, pulsations in the first overtone dominate. Assuming a larger range of luminosities, high-mass models could also explain all BLAPs, including the high-gravity BLAPs. Furthermore, we provide the first seismically constrained mass estimate for the first double-mode BLAP star, OGLE-BLAP-030. We find that a linear model with a mass of $ 0.62 \: \rm M_{\odot} $ matches the reported parameters of this star exactly, placing it in between the two mass scenarios. We also derive new period relations based on our models and all available observed BLAPs, and we find that the derived relations also support the low-mass scenario.