The H +H^-→H^-+H +ℏω, H+H^-+ℏω → H+H +e reactions give examples of bound-bound and bound-free electron transitions in the H +H^- quasi-molecules temporally formed during collisions. The present work is aimed at the calculations of spectral profiles produced in the reactions of resonant charge exchange H + H^-. The oscillator strength of photodetachment of quasimolecules has been calculated for the first time.