Uncomposted hay would be considered green manure. I know it's not used yet but . . .. It should be well composted first. If not, when it gets wet and begins to decompose (into compost) it can generate internal temperatures over 165 F. It's enough to kill weed seed and, with alfalfa, or any hay, you mos def want that. Every frigging weed growing in that crop is in there.
Then after you mulch with your composted hay, put a container of earthworms under it. And all of this will fertilize your plants in a good and healthy way.
Oh yeah - leaf mold, from plain old tree leaves in your yard, sport the best leaf mold. It is one of the absolute best agents to help breakdown a compost heap pronto. The heat generated will kill any all leaf mold spores which are harmless to pot anyway.