What's in the medical terms for psychological problem with eating disorder who thinks always for food to eat all the time without stopping?

There isn't one. It's clearly an eating disorder, the opposite of anorexia, but obese people fiercely resent being called disordered, and have so far prevented calling the disorder a disorder.

You may have an obsession with acquiring food but not have an "eating disorder".

You may have a high interest in quality food without becoming obsessed with it.