I'm trying to find the title (and author) of a short story I read in the 90s, but it's probably from the Golden Age of science fiction.
The story is about a ship in deep space that discovers that its rectilinear path through space is going to intersect perfectly with the rectilinear path of an alien spaceship--an astronomically unlikely coincidence, which baffles the crew. The main character is a man from the ship who has a hard time making friends. He gets in touch with a woman on the other ship who seems remarkably similar to himself (she also has a hard time making friends). The two communicate by radio and are hopeful that they can start a relationship. The story climaxes with the discovery that the other ship is made of "anti-matter," and so the two ships--and the two characters--can never physically interact with each other. (The discovery is made when something from the one ship meets up with something from the other--I forget what--and the two items explode in a bright flash of light. I seem to remember the crew experiencing a sour taste in their mouths, which they take to be evidence of nuclear radiation.) I think there were other parallels between the two ships--besides their intersecting trajectories and the two characters (man and woman)--which give the sense that the other ship comes from some sort of anti-matter mirror universe. In the end, the two ships go their separate ways. I can't remember if the two main characters die or not. Perhaps it is they which meet in space and explode, but I seem to remember them surviving and realizing that they can never be together. I'm not sure.
I read this in an anthology, not a magazine. I thought it was either Conklin's The Omnibus of Science Fiction or Silverberg's The Science Fiction Hall of Fame (Volume I), which are the only two anthologies I remember having as a kid in the 90s. But I'm 100% sure it's not in the latter (SFHF), which I just re-read in its entirety, and I can't find it in the former (OSF), either.
I know this story has some similarities to Murray Leinster's "First Contact" (1945), but it's not that story.