The answer is apparently to be more like Anthony Shadid, the extraordinary war reporter who died last week in Syria. Here's a remembrance of himin The Atlantic from Thanassis Cambanis, a friend and fellow journalist:
Some psychologists call this state flow, a state in which you're fully immersed and focused, and things seem to work well and time sort of holds still for you. I'm not quite sure that gets at it. I've no doubt that one get get in a state of flow for discrete periods; I've had it happen on the tennis court and the pitcher's mound and when playing music, sometimes for as much as a couple hours at a time, and it's a splendid thing. But I find it hard to believe there are people who can sustain that for hours or days at a time, so that you find them, as people apparently found that Shadid, in that state more often than not, or seemingly always. Was Shadid's connection to his friends a state of mind or a social skill? Can you separate them? Was Shadid like this with his kids?
I imagine I could dig up some studies that seemed to get at this, but I wouldn't have much faith in them. To me this remains yet a mystery. I suspect it does to science as well. But I was intrigued to find this said about Shadid; it fits with other accounts that described him seemingly unruffled by danger.