A most embarrassing question
General mountain dulcimer or music discussions
This is my recommendation. Record yourself playing in DAA. Listen to it every time you eat really good food. You will slowly train yourself to drool equally out of both sides of your mouth. Get yourself a bib and the problem is solved!
But at least you have your stage name: Drooly Don Grundy. It has a ring to it, doesn't it? I would pay to see a band called Drooly Don Grundy and the Doughnut Holes, wouldn't you?
I heard a radio conversation with a physicist whose wife was a cellist. He said that when he is working hard, his right arm pit sweats more than his left arm pit. But when his wife is working hard, it is the other way around. The theory is that he was using the more analytic side of the brain, which controls the right side of the body, and his wife was using more the creative side of the brain, which controls the left side of the body. Maybe you are experiencing something similar.
Actually, I suspect Strumelia is correct. Because you are concentrating on what you're doing, you are not swallowing as often as you normally would. I have the bad habit of holding my breath for really tough parts of a tune, and then you can hear me exhale deeply right afterwards. I've had to delete a lot of recordings for that reason.