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Not an arborist... but go to a good lawn/garden center (not lowes depot) and they will sell a grafting/repair compound.

If you have a Southern States in your area, they will sell it.

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Answer:

The tree will probably live if the rabbit didn't eat all the way around it.

You could paint the tree trunks with white latex paint to help them slightly.

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I'll look for it.  Thanks.




It didn't eat all the way around.  The biggest spot is about 3-4" long, but only about 1/2" in width.  

I should have thought about paint.  Latex though?  Not something water based?

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latex is water based and made from tree sap..

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For that type of wound it's actually best not to put any kind of coating or sealer on it. If the edges of the wound are jagged, use a sharp knife to cut around it to leave a clean edge, which will heal faster. The edges of the bark will soon start growing together and the wound should heal itself in a season or two depending on how fast it's growing. You want to leave the wound open to the air so it can breathe, otherwise rot, fungus, insects, etc. can get in there and do more damage.

If this is a recurring problem you can wrap some wire screen loosely around the trunk to keep critters from chewing on it, but don't let it get too tight to where the bark starts growing into the wire or you'll end up girdling the tree and kill it. Once the tree is bigger you shouldn't have any more problems.