  We present a comprehensive theoretical analysis of composite excitonic states
in doped transition-metal dichalcogenide monolayers. Making use of the pair
distribution function, we introduce a method to include the effect of screening
in the interaction between the excitonic state and Fermi-sea electrons.
Employing the screened potential, we study tetrons and pexcitons in which a
trion is bound to one and two holes in the conduction band, respectively. A
conduction-band hole denotes the lack of electrons with certain quantum numbers
at the vicinity of the trion. We then analyze the hexciton complex wherein
conduction-band holes facilitate binding of three electrons with one
valence-band hole. We introduce a simple model from which one can readily
calculate the binding energy of the third (satellite) electron in the hexciton
complex. Finally, we compare the simulated results with experiment and point
out the shortcomings and successes of the analysis.
