Gathering Enchantment for Bows

We have the Looting enchantment, but what about looting for bows? I propose a new enchantment for bows called Gathering- It would do the same or similar effects as Looting (and all of its tiers), but be exclusive for bows, and possibly crossbows.
Like Looting, it would have different tiers (as said above), each tier increasing the drop chance slightly.

I use bows a lot in survival, and there have been multiple times when I would shoot a creeper and think in my head, 'Dammit, if only there was looting for bows.'
It's a small idea, but definitely something I- and hopefully others- would appreciate and use.