This could've been a tv series, made for tv movie, mini-series, or a movie from theater on tv. It was live-action fantasy. The good guys (I think) had a bow(s) that would bind itself to its user by zapping them on the chest and would scar/brand some sort of pattern there.
I think you probably mean The Archer: Fugitive from the Empire a failed TV pilot from 1981.
YouTube has the trailer and you can see the "branding" if you go to 1:00.