Good photo - thanks!
I had a redbud about that size that had a lot of damage to the trunk right at the root area after it got clobbered by high winds in a storm. Not a split like that, but it looked like a fatal blow. I called the radio program and Howard described the sick tree program and I tried it. I was amazed at how well the tree came back. On this one you would definitely add "tree trunk goop" (look these things up in the
LIBRARY.)
With the organic approach, even if it doesn't save the tree the spot is in great shape for the next tree you plant. You might want to go ahead and call the radio program on Sunday. Howard may have a solution that involves handling the broken halves of the tree along with all of the stuff mentioned above. One small peach tree might not be worth the cost of a tree service, but the phone call to the program is free and perhaps the Dirt Doctor can give you some tips to work with.