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Evolution of complex organic molecules in hot molecular cores: Synthetic spectra at (sub-)mm wavebands

Hot molecular cores (HMCs) are intermediate stages of high-mass star formation and are also known for their rich emission line spectra at (sub-)mm wavebands. The observed spectral feature of HMCs such as total number of emission lines and associated line intensities are also found to vary with evolutionary stages. We developed various 3D models for HMCs guided by the evolutionary scenarios proposed by recent empirical and modeling studies. We then investigated the spatio-temporal variation of temperature and molecular abundances in HMCs by consistently coupling gas-grain chemical evolution with radiative transfer calculations. We explored the effects of varying physical conditions on molecular abundances including density distribution and luminosity evolution of the central protostar(s). The time-dependent temperature structure of the hot core models provides a realistic framework for investigating the spatial variation of ice mantle evaporation as a function of evolutionary timescales. With increasing protostellar luminosity, the water ice evaporation font ($\sim$100K) expands and the spatial distribution of gas phase abundances of these COMs also spreads out. We simulated the synthetic spectra for these models at different evolutionary timescales to compare with observations. A qualitative comparison of the simulated and observed spectra suggests that these self-consistent hot core models can reproduce the notable trends in hot core spectral variation within the typical hot core timescales of 10$^{5}$ year. These models predict that the spatial distribution of various emission line maps will also expand with evolutionary time. The model predictions can be compared with high resolution observation that can probe scales of a few thousand AU in high-mass star forming regions such as from ALMA.[Abridged]