If it is infact a hawk, I would recommend covering the coop and run area (unless it is too big) and or purchase and place around the coop area fake crows and owls from the costume store, for some reason hawks get deterred. Anther option to consider is to stagger the times you have them out as hawks (or whatever it is) will see the daily pattern and will know the birds will be out at the same time tomorrow, by staggering the times/days you let them out this will deter whatever is killing your birds. Hope this helps.
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