Try to get back together or break it off?

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Here's the situation /b/:

My girlfriend and I broke up Sunday. It was a fairly strange break up, as we both still want to be friends and are trying to be (we were best friends before we dated). What I think caused the break up was we get to see each other at college, but during the summer we were long distance and lost that spark that brought us together.

My problem is that even though that spark is kinda gone for me, and almost completely for her, we dated for 5 months (8 months if you include the summer where I got to see her 2-3 times) and I think I still love her. I still care for her extremely, and I know she cares for me too, but for her it's "different" and she doesn't see a relationship with romantically anymore. It's tearing her apart because I can tell she wants to feel something for me but doesn't, and it rips me apart because I still feel something for her but can't be with her.

My question is how do I make that energy come back for us, for her especially? Do we backtrack and figure out what brought us together? Do I try sex? Or should I just count my losses and move on? She's an amazing woman and neither of us understand what's going on with her emotions right now.

Oh, and she let me look through her phone and email to prove that she wasn't cheating or seeing someone else (I brought it up randomly so she wouldn't have had time to delete them).

Pic unrelated.