Unfortunately, the term, "green slimer" may refer to may different species of Acropora...any of which are green and tend to slime a lot. The different species generally have different requirements, and they also vary by where they were collected. Without knowing the species, collection site, or the environment it came from, it comes down to the basic fact that it's an Acropora. Generally they require high lighting. Since you've mentioned that it's bleaching, it could be from many things...including too much light. Try moving it down in the tank. If this does not help, you might want to try posting the rest of your tank stats and husbandry practices to help us diagnose. Pictures are also great.
FWIW, my "green slimer" sits about 6" under a 150W MH.