According to the findings in the paper: Yes, it will to at least some degree. Testosterone increases after a divorce and therefore so does competitive effort and overall productivity (Genius + Effort = Productivity)
I think it does. I am divorced, therefore I still have to compete for the babes. As a result, I am in better shape than most guys my age. I also must be (somewhat) successful. The most successful you are the better babes you can get. I know is a somewhat cynical position but I think sex is an important motivator.