My left eye is "lazy" (sorry, I don't know what's the equivalent term in English) that means that most of the work is done by the right one. If you have the same condition, it would explain the acute difference.
When it was diagnosed, they told me that it was too late to correct. For children "pirate patches" are used to blind the good eye and train the lazy one.
If everyone reading this discussion takes only one thing away from it, I hope it is to watch out for their kids in case they develop a bias towards one eye. You can do something about it, but only until they are about 7 years old. After that, the problem is to do with the development of the brain rather than of the eye, and today's medical science has no way to correct it.
BTW, there is definitely an English term "lazy eye", but I don't know whether it has the same meaning or refers to another specific condition.
My guess is that like lots of other medical wisdom/folklore about the adult brain, we'll eventually find workable exceptions to the idea that favoring one eye is irreversible after a certain age. Physical qualities of the eye that contributed to the initial imbalance can now be surgically corrected; neuroscience has found that creation of new brain cells continues far later in life than previously thought; some drugs (including SSRIs) have been found to trigger neurogenesis in adults, as does exercise.
I've seen "lazy eye" used two ways. One is exactly what you're talking about. I had it (and the corresponding pirate eyepatch treatment) as a kid. The other is when one eye doesn't physically track with the other.
When it was diagnosed, they told me that it was too late to correct. For children "pirate patches" are used to blind the good eye and train the lazy one.