This kind of aggression from these two fish are most like to-the-death type of fights. If they do not fatally injure each other, the stress might be enought to make them die. A JD can be very, very aggressive and grows to approx 10 inches, while an Oscar is not as agressive, it is still very aggressive and grows to approx 14 inches. IMO a 55g is the absolute minimal size for an Oscar alone. I do not recommend putting these two together, especially in a 55g. If they are small, you might get away with it for a while but if you probably won't upgrade, then I definetly don't suggest it.