I inspected my hive yesterday. The queen and bees have been busy. The hive(2 deeps) , as a whole, was about 75% drawn out and filled with brood and food. I did notice a supersedure cell, about 2/3 down on a frame of comb - NOT on the bottom of the frame. So I decided to split the hive. I put the queen in the new hive with various aged brood, pollen, nectar, and capped honey. Basically tried to even out the 2 brood boxes. Put an empty Deep on top with a frame of brood and bees in it; and topped them both off with a top feeder. The second hive is about 4 feet away from the original hive. Of course, all the field bees are going to the original hive location (the queenless hive) and there is hardly any activity at the new hive. I expected this. I know I can swap the hives around, and the field bees will start visiting the queenright hive. Both hives have top-feeders.
Questions:
1) For the queenless hive, should I let nature run its course and wait about 3 weeks to see if there are any eggs, or purchase a queen and expedite the hive build-up process?
2) What can I do for the queenright hive with , seemingly, no field bees?