Battery case for the Sword of Omens (Thundercats, 1980s)

Found this dinged up and abandoned at a schoolyard where I grew up, missing the battery cap; anyone have the dimensions for that? I figure the metal bit and/or spring won't be too hard to come by - a standard AA coil hot-glued to the center should do the trick, making constant contact.

I'm guessing on all the pommel dimensions, since obviously I don't have one to measure - if anyone Does have one, I'd be happy to update this. Barring that, this is what you get, hope it works out for you.