At least it is certain that this is Neivamyrmex. I also suspect it is N. opacithorax, based on the worker head shape lacking conical points at the rear corners of the head, and instead appearing to have simple rounded bumps as found in N. opacithorax.
Further, I think it likely the males are the brothers of the workers. Workers do tend to mob the males in the nest, presumably attracted by some sort of surface secretion they emit. Workers of army ants also mob conspecific males from other colonies when they "come a-courting", and escort them into the nest, not uncommonly helping to remove their wings once they're inside, too. The queens are wingless so males have to fly to and enter other colonies of their species to mate.

Nice find! Neivamyrmex are difficult to come across in my experience and always a treat to see.

Without more detailed images of either the male's head or the worker's petiole there's no way I can be sure, but this is likely Neivamyrmex opacithorax. One of our most common Neivamyrmex, the shiny head and red-orange matches perfectly (although harrisi is similar in these regards). The workers may be more surface loving than Neivamyrmex harrisi, but I could be wrong about that.

N. opacithorax has a long and thin rectangular petiole when viewed from the top, in contrast to most of the species that look like it (which have squarish petioles dorsally viewed), and I think I see it in some of these ants but can't be sure. The males also have smaller ocelli, which I again think I see in your photo but am not completely sure about.

You didn't happen to collect any specimens did you?

Moved from ID Request.