There are several threads already about this subject:
Center Cockpit Versus Aft Cockpit
Popularity of center cockpits?
I will say about it what I have said previously:
The biggest advantage of a center cockpit is the space on the back cabins, I mean in height and in illumination. The disadvantages are a higher freeboard more windage if the boat is smaller than 60ft and a much smaller cockpit, one where, unless the boat is very big, you will not have space for laying down at night while at watch and will not be able to receive a very limited number of guests.
On boats with less than 50ft it is really too much in what regards performance, I mean the interior space on the main cabin is very good but it comes clearly in prejudice of the sailing performance and boat looks.
Also CC tend to have narrower passages on the deck along the cabin and that can make a lt more difficult to go forward.
As always it is a question of compromises: If you really want/need that space and are more living on the boat than sailing then we can even justify that in a 37/40ft boat...but certainly that has nothing to do with a sailing advantage.
The motion will also be worse since you are much higher regarding the CG, more near on the vertical but the truth is that most of the time cruising boats are sailed on autopilot and if you will seat on a aft cockpit near the cabin that advantage will disappear.