I was looking over the "Visualizing the Proton" videos that MIT put out a few years ago, where the collision data from CEBAF, etc. was turned into a visual representation of quarks, gluons and the rest.
The video is nice, but there's no actual dimensions on any of it. I get that it's just a representation, and not necessarily reality, but:
What's the average/maximal distance between a quark and the centre of the image/proton when "X=0.3"? (22 seconds into the video)
What's the width of the quark itself? Do up and down quarks have different widths?
Note: I understand that the proton is a composite particle, better described as a probability space rather than a distinct "shape" like a macroscopic object (an apple, box, etc.). The MIT depiction implies that this probability distribution still has a superstructure though, and so I'm wondering specifically what the distance between components would be in this view.
Edit: This video by Vitaly Velizhanin doesn't quite answer my question, but does go through deep inelastic scattering in detail and helps dispel some misconceptions I had. It seems as though most of the depiction of the quarks and their connections in the MIT video was artistic license, and the MIT video doesn't rely on specific measurements for the distance between quarks or the probability radius of the quarks themselves.
I've also updated the title, since the original title "What is the size of the proton?" doesn't actually match up with what is being asked.