In a bowl, combine cheese, pimento, green onions, 1/2 tsp salt, cayenne and black pepper.
Stir in mayonnaise until incorporated.
Refrigerate pimento cheese until ready to use.
In a bowl, combine ground beef and 1 tsp salt.
Divide into 12 equal portions.
Gently form into balls and shape into small patties.
Heat a nonstick grill pan or barbeque.
Cook burgers over medium heat for 1-2 minutes.
Then flip them and spoon pimento cheese onto burgers.
Cook 1-2 minutes more or until done to your liking.
Serve burgers immediately on rolls with your favorite burger accompaniments.
Any leftover pimento cheese can be melted and served with chips.