"Being negative" is too general a term here.
It's more about spending a lot of time pondering thoughts around regret, grief, or shame about either things you (yourself) did, or things that happened to you. It's a time when you're not being productive or coping well with the hardships of life -- instead of pushing self-pitying thoughts out of your mind or overcoming those emotions that drag you down, you think about them and let them take control over your life.
"Wallow in self-pity" means to indulge in sad, regretful feelings directed at yourself. It is a phrase mostly used by people who are annoyed at this practice.