Can't seem to find an answer on antimatter

I'm really wanting a 5-star healer, but it looks like the only way I can do that is if I wait for the right Arcane Time Portal or Portal for an allied culture. If I don't use up my Maya Antimatter, does it transfer over for the next allied culture? Or do I lose it? Can I save up all the antimatters for when the right hero is at 10x chance?