It’s not easy running a hospital these days, which makes it even harder to recruit executives to take on the job. Often, people don’t realize that a recruiter like David Mead-Fox, managing director of the Boston office of Korn/Ferry International, is behind a successful hire. Recruiting isn’t a perfect science, Mead-Fox explains to reporter Allison Connolly. In fact, it depends on a number of variables, including the recruiter’s gut instinct.