my tiger barbs often go "head down" but not for much longer than a few seconds so I think yours might be more serious if they're doing it for a long time. but I'm no expert.
The going green, if they're not green tiger barbs, is caused by serious stress. their colours fade and the black stripes go green. I had to keep all my fish in a 100L container for 2 days, the tigers faded dramatically.
If there's only a green 'shimmer' in the black stripes, it could just be with age, mine have done that, and apparently it's common.
I hope that helps. let us know what's going on. And I hope your tigers are ok. I like them.
Also, if they are stressed, it could be water, cause when mine were in the container, the water got very dirty, and I was assuming that was what it was, along with no light and very cramped space. Check everything's ok.