It could be what was suggested by the other posters, but also:
Have you been checked for hiatal hernia? If you have a sliding hernia, where the stomach slides through the hiatal opening into the chest, it can feel like a heart attack or just cause pain when you are eating. If the pain is all the time, the hernia can be "paraesophageal" where the stomach is stuck in the chest (actually the mediastinum) alongside the heart. I've had the second one, got it repaired, now the opening is enlarged again and my stomach only goes up when I eat. It hurts! It could be triggered to hurt by the doc pushing too.
It takes a barium swallow to diagnose it. Just looking down the throat will show nothing because you go in without anything in the stomach and they usually knock you out for the test.
I would go to a gastroenterologist before deciding on any surgery - just to rule out a hiatal hernia.