Broken branches, such as this, won't repair themselves. The repair, if successful, is new wood growing over the break. For this to occur successfully, the branch must be immobilized. That's not likely to happen with tape, rope and/or nails. You could consult a licensed arborist but I think, based on some experience with fruit trees of this size, that sawing the broken branch about two inches or so from where it joins the trunk will be the best course. Don't use paint, tar or other substances to "treat" the wound. Studies have shown that such action only inhibits the healthy tree's ability to heal itself.
Best of luck...