I try to let arrows go the same way I let bullets go from a long range rifle. You squeeze the trigger when the sight(s) are aligned and, somewhere in there, the shot lets go. You want to let this happen all by itself and not do anything to make it happen except squeeze the trigger when the sights are aligned. The shot should surprise you a bit.

Some releases have adjustment for engagement and weight. A lighter pull with a cleaner let-go sometimes helps your brain to not know when the shot is about to break. Just don't go so light that shots start to get away from you.