Why does she stare into my eyes?

Not sure what to think of this I am kind of oblivious, we will stare into one another eyes until one of us says "what" . We usually hang out in a group but when it was just the two of us and when we said bye to one another we both just stood there after kind staring at one another waiting for the other to do something, after what seemed like several minutes, she eventually said she had to go to class said bye again and ran off.

also is it a good thing if she seems to lean her body toward me, she seems to like getting close to me. I think this one is a good sign, not backing away from me when I touch her arm or shoulder etc.
Why does she stare into my eyes?
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