I split two of my tbhs last week by removing the bar with the queen and several bars of open/capped brood and some honey and placing in a top bar nuc. The parent hives are booming with bees and many bars of sealed brood, and some eggs and larvae. My concern is, in the time it takes for them to raise a new queen and until she gets mated, all the current brood will have emerged and there will be an enormous amount of bees. Will this workforce, having no brood to care for, backfill everything leaving no room for the new queen to start laying, and if so, will I lose them to a swarm as soon as she gets mated? If this is the case, what do I do to prevent it?