See for instance Gleick's Feynman biography, "Genius".
http://www.goodreads.com/book/show/98685.Genius
Another good read about the project is this bio: "The Curve of Binding Energy: A Journey into the Awesome and Alarming World of Theodore B. Taylor"
...which is obviously mostly about Taylor (on the Manhattan Project), but has some Feynman anecdotes.
http://www.goodreads.com/book/show/54968.The_Curve_of_Bindin...