Pain that radiates is something that a doctor really needs to know about.
We aren't doctors here so we can't diagnose you. I would suggest going and seeing your doctor. You could have something wrong with some muscles in your chest, in your stomach or something else but it sounds like the pain is strong enough you should seek out medical advice. The good news is serious chest pain likely wouldn't come and go but don't take this lightly, just go see your doctor. Take care and keep us posted on how you are doing.