A comprehensive empirical analysis based on exact quantum simulations of all available total absorption coefficient and branching-ratio data for the UV photodissociation spectra of HI and DI has been used to determine the potential energy curves of the four excited electronic states A (1)Pi(1), a (3)Pi(0)(+), a (3)Pi(1), and t (3)Sigma(1)(+), and the associated transition moment functions. It is shown that there is no need to invoke coupling among the various final-state wave functions to explain the data.