Atrocitus is one of the stronger Lanterns in DC and one good hit would be enough to take Hawkman down. I don’t even think that Atrocitus would need his Red Lantern abilities to defeat Hawkman since he’s proven to be very adept at hand to hand combat. Hawkman takes another loss with this round and he probably wishes that he had been a tougher Black Lantern! Atrocitus wins.