I need everyones opinion about deleting my ex girlfriend from my Facebook friends list?

My ex Girlfriend broke up with me almost a month ago. I told her I wanted to keep things on good terms with her and she agreed. We only have texted once back and forth since we broke up just to see how she was doing... I feel like I should delete her and her friends form my facebook friends list. I did block her status updates but still check her profile out whenever I am on facebook.....I feel like I am just adding fuel to the fire if I still keep her as a friend on facebook.....What should I do?........I listend to that song by J Z "On to the next one" and it is really motivating me to just delete her facebook.